a group of 24 people equally shared 14 pounds of ground beef. how many pounds of ground beef did each person get?

Answers

Answer 1

On solving the provide question, we can say that by unitary method each person get = 24/14 = 1.7142857143 pounds of beef

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

a group of = 24 people

equally shared  = 14 pounds of ground beef.

each person get = 24/14 = 1.7142857143 pounds of beef

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Related Questions

Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results.


Using the histograms, which of the following is the correct comparison of the distributions?

A-The 10–20 interval contains the most observations on both days.
B-The two distributions for number of cars in line are both skewed right.
C-The median number of cars for both distributions lies in the 20–30 interval.
D-There were more than 40 cars in line more often on the weekend than the weekday.
IT IS B GOT IT RIGHT

Answers

B-The two distributions for number of cars in line are both skewed right.

Which of the following is the correct comparison of the distributions?The histograms compare the number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend.The histograms reveal that the two distributions for the number of cars in line are both skewed right, meaning that the majority of observations are concentrated on the left side of the distribution, with fewer observations on the right side.The 10–20 interval contains the most observations on both days, and the median number of cars for both distributions lies in the 20–30 interval.There were fewer than 40 cars in line more often on the weekend than the weekday.This type of comparison is known as a distribution comparison, which is used to compare the shape and spread of two or more distributions.

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William invested 5000 dollars in an account that earns 3. 5% interest compounded annually the formula for compound intrest is A(t) = P(1 + i) ^t. How much did william have in his account after 4 years

Answers

The amount William will have in his account after 4 years is $5737.50.

The formula for compound interest is

A(t) = P(1 + i)^t

where A(t) is the final amount in the account after t years, P is the initial principal or the amount invested, i is the annual interest rate, and t is the number of years.

In this case, P = 5000 dollars, i = 3.5% (expressed as a decimal), and t = 4 years.

So, to find the final amount in the account after 4 years, we can plug these values into the formula:

A(4) = 5000(1 + 0.035)^4

To calculate this we can use a calculator or use the exponential function, in this case, we get:

A(4) = 5000(1.035)^4

= 5000(1.1475)

= 5737.50

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What is density?

The number of
particles in an
chject or
substance

The amount of
matter in an
object or
substance

The amount of
space an object
or substance
takes up

A measure of how
much matter is ha
certain volume

Answers

C is the answer to the query

solve using subsitution. -8x-10y=12 x+2y=3

Answers

Answer:

All I know is:

Step-by-step explanation:

You have to Graph

Then Find the Empirical/Simplest Formula

After you have to Calculate the Formula Weights

Then Find the Derivative - d/dx

Last, Find the Derivative - d/dy

Sorry I don't know the real answer.

Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished
training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that
was given to all trainees. The mean and standard deviation of the test scores are 77 and 2, respectively, and the distribution of scores is mound-shaped
and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score.

Answers

The trainee's z-score is -1.5.

What is z- score?

An illustration of a standardized score is the z-score. A z-score calculates how far a data point deviates from the distribution's mean by standard deviation.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Given:

Mean= 77

standard Deviation = 2

x= 74

Using z score formula

Z score = (x - μ)/ σ

Z score = (74 - 77)/ 2

Z score = -1.5

Now, the P-value from Z-Table:

P(x<74) = 0.066807

P(x>74) = 1 - P(x<74)

            = 0.93319

P(74<x<77) = 0.5 - P(x<74)

                  = 0.43319

Hence, the z- score is -1.5.

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Determine appropriate ____ to model scenarios.

Answers

Determine appropriate formula to model scenarios.

How to determine appropriate formulas to model scenarios?

Sometimes, different formulas can generate similar results. The key is to choose the formula that is most appropriate for the scenario, and it's also important to consider the complexity of the formula and its interpretability.

Based on the problem or question, the available data, and the literature review, determine the appropriate mathematical model to use. The model should be able to capture the key features of the problem or question and provide an accurate representation of the data.

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Convert the following percent to a simplified fraction or mixed number: 8%

Answers

Answer: 8/100 or 2/25

Step-by-step explanation:

8% is automatically out of 100% so it would be

8/100

and the simplified version would be 2/25

Answer: 2/25

Step-by-step explanation:

Which graph represents the function f(x) = 8 1/3x?

Answers

The second graph  represents the function [tex]f(x)=8^{\frac{1}{3} x}[/tex]

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is

[tex]f(x)=8^{\frac{1}{3} x}[/tex]

At x=0, f(0)=1

At x=1, f(1)=2

At x=2, f(2)=4

The graph of f(x) passing through the points (0,1), (1,2), (2,4),(3,8).

According to these coordinates we can say that the graph of f(x) is represented by option 2.

Therefore correct option is 2.

Hence, the second graph  represents the function [tex]f(x)=8^{\frac{1}{3} x}[/tex]

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Find a basis for the space of 2x2 diagonal matrices:

Answers

The team plots alternatives on a two by two matrix using the 2x2 Matrix decision support technique. The matrix diagram is a straightforward square divided into four equal quadrants, sometimes known as a four blocker or magic quadrant. A decision criterion, such as cost or effort, is represented by each axis.

A diagonal matrix in linear algebra is a matrix with all zero entries outside of the primary diagonal; the word typically applies to square matrices. The major diagonal's components can either have zero or nonzero elements.

The redundant column vectors are all taken out of the kernel when determining the basis of a matrix, leaving only the linearly independent column vectors. A basis is therefore merely the sum of all the linearly independent vectors.

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Solve for X, Leave in simplest radical form

Answers

By using a trigonometric relation, we will see that the hypotenuse of the right triangle is:

x = 22

How to find the value of x?

We want to find the value of x on the right triangle.

Notice, it is the hypotenuse of the right triangle.

We know one angle on the triangle, and also the adjacent cathetus, then we can use the trigonometric relation:

cos(a) = (adjacent cathetus)/hypotenuse

We can replace the known values to get:

cos(30°) = 11*√3/x

(√3)/2 = 11*√3/x

Now we can solve this for x.

Dividing both sides by √3 we get:

1/2 = 11/x

x/2 = 11

x = 2*11

x = 22

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positive integers $x$ and $y$ have a product of 56 and $x < y$. seven times the reciprocal of the smaller integer plus 14 times the reciprocal of the larger integer equals 4. what is the value of $x$?

Answers

By solving a system of equations and a quadratic equation, we will see that x = 2.

How to find the positive integers?

We know that x and y are positive integers, that x < y and:

x*y = 56

We also know that "seven times the reciprocal of the smaller integer plus 14 times the reciprocal of the larger integer equals 4"

Then we can write the equation:

7*(1/x) + 14*(1/y) = 4

So we have a system of equations:

x*y = 56

7*(1/x) + 14*(1/y) = 4

We can rewrite the first equation to get:

x = 56/y

And the second equation as:

14/y = 4 - 7/x

Then the system becomes:

56/y = x

14/y = (4 - 7/x)

Taking the quotient between these, we can remove the variable y:

(56/y)/(14/y) = x/(4 - 7/x)

56/14 = x/(4 - 7/x)

4*(4 - 7/x) = x

4*(4x - 7)/x = x

4*(4x - 7) = x^2

So now we have a quadratic equation:

x^2 - 16x + 28 = 0

Using the quadratic formula, we will get:

[tex]x = \frac{16 \pm \sqrt{(-16)^2 -4*1*28} }{2*1} \\\\x = \frac{16 \pm 12 }{2}[/tex]

So the solutions are:

x = (16 - 12)/2 = 2

x = (16 + 12)/2 = 14

But notice that if x = 14, then:

14 = 56/y

y = 56/14

y = 4

And y is larger than x, then x = 14 can be discarded.

The solution is x = 2.

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A right triangle is shown below.
ہو
60%
X
What is the sine of t?
1

Answers

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped. Answer is 8.212°.

What does sin t mean in math?

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped.

The ratio of the opposite side to the hypotenuse is called sin(), and the ratio of the adjacent side to the hypotenuse is called cos(), when viewed from a vertex with angle.

So, the Pythagorean identity-based formula for sin is sin²x = 1 - cos²x.

Hypotenuse²=base²+perp²

(8)²=(7)²+(perp)²

64=49+(perp)²

64/49=perp²

1.306=perp²

Now taking square root on both sides

Perp=√1.306

Perp=1.142

Sin C=opposite/hypotenuse

Sin =1.142/8

Sin C=0.14285

C=Sin^-1 0.14285

C=8.212°

Answer is 8.212°.

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Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over. How many bricks did each lay? ​

Answers

Ram and Shyam laid 80 and 170 bricks respectively.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over.

Let each of them initially laid x and y bricks,

Therefore, establishing the equations,

x + y = 250....(i)

According to later condition,

2x + x/2 = 200

4x + x = 400

5x = 400

x = 80

Put x = 80, in equation (i)

80 + y = 250

y = 170

Hence, Ram and Shyam laid 80 and 170 bricks respectively.

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if the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score e(x y)?

Answers

The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y).

e(x+y)

e = expected

x = points earned on part 1

y = points earned on part 2

So, the expected recorded score is the total of points earned on both parts: e(x+y).

The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y). This formula is useful for quickly calculating the total score of an assignment, allowing the grade book to be updated quickly and accurately.

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Which of the following is equivalent to 4x²+ 6x-2+6 - 4x² - 6x?
a. -4
b. 4
c. 6
d. -2​

Answers

Therefore , the solution of the quadratic equation comes out to be x value is 4.

How to solve a quadratic equation?

The quadratic solution x = ax2 + foo + c=0 is a regression model for one variable equations. According to the First Theorem of Algebra, this polynomial only has one solution because of its second order. Both straightforward and complex solutions are viable options. The term "quadratic formula" refers to a formula with four variables. According to this, there can only be a single squared word present. Mathematical variables or variables a, b, and c are often used to represent the unknown variable "X" in the formula "ax2 + bx + c = 0," which is frequently used to solve arithmetic problems.

Here,

Given :

=> 4x²+ 6x-2+6 - 4x² - 6x

=>  4x² - 4x² + 6x -6x -2 +6

=> 0 + 0 +4

=> 4

Therefore , the solution of the quadratic equation comes out to be x value is 4.

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rodney uses the following clues to try to guess a secret number: it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$. if rodney guesses a number that has each of these properties, what is the probability that rodney will guess the correct number? express your answer as a common fraction.

Answers

probability will be 1/2 for obtaining correct number that is ng clues to try to guess a secret number: it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$.

How do you calculate probability

Probability is the likelihood that something will happen. Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes

it is a two-digit integer. the tens digit is odd. the units digit is even. the number is greater than $65$.

the numbers are 67,69,83,.....etc

In order to simplify these types of expressions, first of all the external element is distributed into the bracket.

This property is called distributive property where the outer number is distributed into the bracket.

The distributive property is generally stated as:

So applying the property on given expression

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68 8236 17 rounded of to 100​

Answers

Answer:

68823600

Step-by-step explanation:

Complete the system of equations with a linear equation so that the graphs of the equations intersect at their x- and y-intercepts.
y=x^3+4x+3x+12
y=?

Answers

The required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Given equation,
y=x³+4x²+3x+12

To determine the x-intercept put equation y = 0

0 = x³+4x²+3x+12

Factorize the above equation

0=(x²+3)(x+4)

One of the factors from above is given as

x+4=0  

x = -4

The x-intercept is (-4,0)

For the y-intercepts, x=0 and solve.

y = 12

y = 12

The y-intercept is (0,12)

Now equation of the line passing these points is given as.

m = (y₂ - y₁) /  (x₂ - x₁)
m = 12/3
m = 3

C, we already have C=12

So the equation of the line is
y = mx + c
y=3x+12

Thus, the required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

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jeff lives 12 miles east of stan jeff lives 16 miles north of wei what is the shortest stan and wei can live from each other

Answers

Answer:

   20 miles

Step-by-step explanation:

first, draw a diagram. Then, use the pythagorean theorem to calculate.

Solve for X, Leave in simplest radical form

Answers

The value of x in the simplest radical form is 3.

What are trigonometric relations?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

Given: Let the triangle be ΔABC

The triangle ABC is a right-angled triangle and the angles inside the triangles are 45°, 45° and 90°

tan θ = x / 3

Now , θ = 45°

So, tan 45° = x / 3

The value of x is 3.

Hence, the value of x is 3.

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Bianca took out a $2,600 unsubsidized stafford loan. she will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. the loan has an interest rate of 6.2%, compounded monthly. how much will she have to pay monthly to avoid interest capitalization? a. $12.40 b. $19.29 c. $13.43 d. $17.36 please select the best answer from the choices provided a b c d

Answers

The total monthly payment would be $17.36.

Option (d) is correct.

What is the annuity payment?

An annuity payment is a fixed, regular payment made to an individual or organization over a specific period of time. It is typically used in the context of financial transactions, such as loans, investments, and insurance.

To calculate the monthly payment Bianca will have to make to avoid interest capitalization, we can use the formula for the annuity payment:

PMT = (Loan Amount * Interest Rate / (1 - (1 + Interest Rate)^(-n))) / (Interest Rate / 12)

Where:

PMT is the monthly payment

Loan Amount is the amount of the loan, in this case, $2,600

Interest Rate is the annual interest rate, in this case, 6.2%

n is the total number of payments, in this case, 5 years * 12 months/year = 60 months

Plugging in the values, we get:

PMT = (2600 * 0.062 / (1 - (1 + 0.062)^(-60))) / (0.062 / 12)

PMT = $17.36

Hence, the total monthly payment would be $17.36

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Answer: C

Step-by-step explanation:Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6.2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization?

a.

$12.40

b.

$19.29

c.

$13.43

d.

$17.36

Please select the best answer from the choices provided

I need the answer for this question

Answers

Answer:

[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Rate of change = [tex]\frac{Change in Y value}{Change in X value}[/tex]

                    Pick any two sets of 'X' and 'Y' value

I chose (-4, 6) as [tex](X_{1} ,Y_{1} )[/tex]and (12, -2) as [tex](X_{2} ,Y_{2} )[/tex] :

Rate of change = Slope / Gradient of graph = [tex]\frac{Y_{2} -Y_{1} }{X_{2} - X_{1} }[/tex]

                                                                         = [tex]\frac{-2 - (6)}{12 - (-4)}[/tex]

                                                                          = [tex]\frac{-2 - 6}{12 + 4}[/tex]

                                                                           = [tex]\frac{-8}{16}[/tex]

                                                                           =  [tex]\frac{- 1}{2}[/tex]

What is the difference between X1 and x1? O X1 is a random variable, and X1 is a specific numerical value. a. X1 is a random variable, and X1 is a specific numerical value. b. There is no difference. c. They are both random variables. d. There is no difference. e. They are both specific numerical values.

Answers

The main difference between X1 and x1 is that X1 is a random variable and x1 is a specific numerical value.

In mathematics, variables are often used to represent different values, and the difference between uppercase and lowercase letters is often used to distinguish between different types of variables. X1 is a random variable, which represents a value that can take on different values depending on the outcome of an experiment or a probability distribution. x1, on the other hand, is a specific numerical value, which represents a fixed value that is known or can be determined. In short, X1 refers to a variable whose value is uncertain and x1 refers to a specific value of that variable.

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How many polynomials are there having 4 and 2?

Answers

4 and 2 have only one polynomial, which is [tex]x^2-6x+8[/tex]

If a polynomial has two real zeros, then it will be a Quadratic polynomial. A quadratic polynomial is a polynomial that has a degree of two. Zeros of a Quadratic polynomial can be found by two methods, 1. Splitting the middle term 2. Quadratic formula. In this question, zeros are given for this we will use the reverse of splitting the middle term.

4 and 2 are two zeros of a polynomial. It can be represented as:

[tex]x=4\\x=2[/tex]

therefore,

[tex]x-4=0\\x-2=0[/tex]

The Above Linear polynomials are a simplified form of a quadratic polynomial. When multiplying both equations, we get:

[tex](x-4)(x-2)=0[/tex]

[tex]=x^2-2x-4x+8[/tex]

[tex]=x^2-6x+8[/tex]

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Y = x - 7
5y+3x= -13

Solve in equal value method
Step by step

Answers

Solve in equal value Method step by step solution is given below.

What is equal Value?

Equal value is a concept that states all people, regardless of race, gender, ethnicity, sexual orientation, or any other defining characteristic, are of equal worth and should be treated equally. This concept is fundamental to democracy and is enshrined in the Universal Declaration of Human Rights. Equal value is also a foundation of economic theory, as it states that everyone should be able to access and benefit from economic resources, whatever their background.


Step 1: Isolate the 5y term on one side:
5y = -13-3x

Step 2: Divide both sides by 5:
y = (-13-3x)/5

Step 3: Replace the y with its expression:
x - 7 = (-13-3x)/5

Step 4: Distribute the -7 over the denominator of the right side:
x - 7 = (-13-3x-35)/5

Step 5: Add 7 to both sides:
x = (-13-3x-35+35)/5

Step 6: Simplify the expression:
x = (-13-3x)/5

Step 7: Solve for x:
x = -26/8

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Which number produces an irrational number when multiplied to 0.5?

Answers

Answer: Root 16 = 4, 4*1/2= 2

1/3*1/2= 1/6 r

5/9*1/2= 5/18

Root 3 = 1.73205...*1/2= 0.866025...

Root 3 is the answer

the probability of randomly picking out a paperback book from a bookshelf is 2 over 5. what are the odds in favor of choosing a paperback book? a.) 3:2 b.) 2:7 c.) 2:3 d.) 2:5

Answers

Therefore , selecting a paperback book has an odd favor of 2:5, this probability problem's solution indicates that.

What does the process of probability mean?

Calculating the probability of an event happening or a declaration being true is the focus of the mathematical field of probability theory. A chance is just a number between 0 and 1, with 1 denoting certainty and 0 roughly indicating the likelihood of an event occurring. Probability is a mathematical expression of the likelihood or probability that because an event will take place. The percentage ranges of 0% to 100% as well as the numerals 0 and 1 can be used to describe probabilities. the percentage of times an event occurs in a perfect collection of equally likely alternatives, out of all possible outcomes.

Here,

Given The likelihood of selecting a paperback book at random from either a bookshelf is 2/5, as stated.

In order to determine whether picking a paperback book is more likely to be strange,

So, using the information provided, we observe it.

that the odd favor of picking a paperback book is 2:1.

Option D is the proper choice.

Since selecting a paperback book has an odd favor of 2:5, this probability problem's solution indicates that.

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Answer:

2:3

Step-by-step explanation:

A race is made up of 4 separate stages. Round each stage’s distance to the nearest thousand|:

Stage Name Distance Rounded Distance

Le Start 30,060 m m

The Uphill 21,111 m m

The Downhill 33,501 m m

Le Finish 49,840 m m

Answers

According to the round off rule, the resulting value of the total distance is  135,000

As we al know that if the rounded number increases then the given number is said to be rounded up on the other hand if the rounded number decreases then it is said to be rounded down.

Here we have given the details about the race is made up of 4 separate stages.

Now, we need to find the total distance, that can be calculated by adding all the given distance, then we get,

=> 30,060 + 21,111 + 33,501 + 49,840

=> 134512.

Now, we have to round off the value to the nearest thousandth term, then it can be written as,

Here we need rounded to the nearest thousands place. The 4 in the thousands place rounds up to 5 because the digit to the right in the hundreds place is 5.

=> 135,000

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what is the area of the shaded portion in the figure? If, it is a square and the lines are parts of a circle and the side of the square is 10 unit. Give answers in terms of pi.

Answers

A quarter-circle with a radius of 5 has the area: 25π/4, This is where the shaded area in the figure is located.

How do you calculate the size of a circle’s shaded sector?

The area of a circle’s sector is calculated as /360o (r²), where r is the radius of the circle and is the angle of the sector.

The little, subtle distinctions between words are distinguished by shades of meaning. The terms “happy” and “ecstatic,” for example, both express emotion, but one is more powerful than the other. When students study shades of meaning, they learn how to effectively articulate how they feel or think. Shade is any gloomy place where sunshine or other strong light is obstructed. A shadow is a dark form that develops on a surface when an item blocks sunlight or other light.

The shaded area in the illustration is a quarter-circle with a radius equal to 10/2, or 5 units, or half the length of the square's side.

The following formula can be used to determine a circle's area:

A = πr²

If pi is present and r is the radius (approximately equal to 3.14).

A quarter-circle with a radius of 5 has the following area:

A = (π × 5²) / 4 = (π × 25) / 4 = 25π / 4

This is where the shaded area in the figure is located.

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Reviewing the Sequence of Dots document below, determine the equation describing the pattern for the number of black dots, number of white dots, and the total number of dots.

Answers

The equation for the number of white dots is a(n) = 2n - 1 while the equation for the number of black dots is a(n) = (n - 1)²

The pattern for the number of black and white dots is depicted in the attached picture.

Refer to the the picture, the sequence of the white dots are:

n = 1  number of white dots = 1

n = 2  number of white dots = 3

n = 3  number of white dots = 5

n = 4  number of white dots = 7

Notice that the number of white dots form an arithmetic sequence, with:

first term = a = 1

common difference = d = 3 - 1 = 2

Hence, the equation for the nth term is:

a(n) = a + (n - 1) d

a(n) = 1 + (n - 1) x 2

a(n) = 2n - 1

Now look at the black dots.

n = 1  number of black dots = 0

n = 2  number of black dots = 1

n = 3  number of black dots = 4

n = 4  number of black dots = 9

Notice that the number of black dots is a quadratic sequence starting from 0.

We can write:

n = 1  number of black dots = 0 = (1 - 1)²

n = 2  number of black dots = 1  = (2 - 1)²

n = 3  number of black dots = 4 = (3 - 1)²

and so on. Hence, the equation of the nth term for the number of black dots is:

a(n) = (n - 1)²

The picture in your question was missing, but most likely it was like in the attached picture.

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