HELP !!!!
What are the first five terms in the recursive
sequence defined by the following?
a1=1
a2
=1
On
= An-2 + On-1
Answers
Answer: Choice C
{1, 1, 2, 3, 5}
===============================================
We have
[tex]a_1 = 1\\a_2 = 1[/tex]
Showing the first two terms are 1,1.
The answer is between choices B and C because of this.
To get the nth term [tex]a_n[/tex], we add up the two previous terms before it [tex]a_{n-1}[/tex] and [tex]a_{n-2}[/tex]
So to get the third term [tex]a_3[/tex], we'll add up the first two terms
[tex]a_n = a_{n-2} + a_{n-1}\\\\a_3 = a_{3-2} + a_{3-1}\\\\a_3 = a_1 + a_2\\\\a_3 = 1 + 1\\\\a_3 = 2[/tex]
The third term is therefore 2.
The sequence so far is {1,1,2} which matches with the first three terms of choice C.
Then we can say:
[tex]a_4 = a_2 + a_3\\\\a_4 = 1+2\\\\a_4 = 3[/tex]
Further confirming the answer. I'll let you check the next set of terms.
For more information, check out the Fibonacci numbers.
Related Questions
The inner and outer walls of a 30 cm long pipe have a diameter of 15 cm and 17 cm, respectively. Find the volume of the material used in the pipe (use π = 3.14).
Answers
Answer:
The volume of material used in the pipe is 1507.2 cm³.
Step-by-step explanation:
As per the provided information in the question, we have :
➛ Height of wall = 30 cm➛ Diameter of inner wall = 15 cm➛ Diameter of outer wall = 17 cm➛ Radius of inner wall = 15/2 = 7.5 cm➛ Radius of outer wall = 17/2 = 8.5 cmHere's the required formula to find the volume of material used in the pipe :
[tex]\quad{\longrightarrow{\pmb{\sf{ V = \pi h\Big(Outer}^{2} - {Inner}^{2}\Big)}}}[/tex]
↝ V = Volume ↝ π = 3.14 ↝ h = height ↝ Outer = Outer radius ↝ Inner = Inner radiusSubstituting all the given values in the formula to find the volume of material used in the pipe :
[tex]\quad{\twoheadrightarrow{\sf{ V =\pi h\Big({Outer}^{2} - {Inner}^{2}\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =3.14 \times 30\Big({(8.5)}^{2} - {(7.5)}^{2}\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big((8.5 \times 8.5) - (7.5 \times 7.5)\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big((72.25) - (56.25)\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big(72.25 - 56.25\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big( \: 16 \: \Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2 \times 16}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =1507.2}}}[/tex]
[tex]\quad\star{\underline{\boxed{\sf{\red{ V =1507.2 \: {cm}^{3}}}}}}[/tex]
Hence, the volume of material used in the pipe is 1507.2 cm³.
[tex]\rule{300}{2.5}[/tex]
The volume of the material used is 1507.2cm^3
Data;
height = 30cminner diameter = 15cm; radius = 7.5cmouter diameter = 17cm; radius = 8.5cm π = 3.14Volume of a CylinderThe formula of volume of a cylinder is given as
[tex]v = \pi r^2 h[/tex]
But in this case, we have to find the difference between the outer radius and the inner radius.
[tex]v = \pi h(r_2^2 - r_1^2)\\[/tex]
Let's substitute the values and solve.
[tex]V = 3.14 * 30 * (8.5^2 - 7.5^2)\\v = 94.2 * (16\\v = 94.2 * 16\\v = 1507.2cm^3[/tex]
The volume of the material used is 1507.2cm^3
Learn more on volume of a cylinder here;
https://brainly.com/question/2965150
If you answer I will give your brainliest just plz help me ok so which answer choice is correct?
Answers
Answer:
it would be A and C
Step-by-step explanation:
I used photo math and it used C as its answer, but answer A simplifies to answer C therefore meaning they are both your answers! I hope this helped!
For every 3 apples in a
bowl there is 1 banana. If
there are 18 apples, how
many bananas will there
be? First person gets a 5star review!!
Answers
Answer:
18 apples equals 6 bananas
Answer:
There will be 6 bananas in that bowl
Which expression is equivalent to –4. 5 – 6. 2y? –6. 2y – 4. 5 –6. 2y 4. 5 6. 2y – 4. 5 6. 2y 4. 5.
Answers
To find the expression that is equivalent to -4.5-6.2y we will rearrange all the given options to find the equivalent expression.
The expression that is equal to -4.5-6.2y is -6.2y-4.5.
Given options to us
–6.2y – 4.5–6.2y + 4.5 6.2y – 4.5 6.2y + 4.5Which expression is equivalent to –4.5 – 6.2y?We need to find an expression that is equal to -4.5-6.2y.
Therefore, we will arrange each of the equations and then compare it our equation,
A. –6.2y – 4.5
-4.5 -6.2y
Since after arranging the expression it matches our equation this is the expression that is equivalent to our equation.
B. –6.2y + 4.5
4.5 - 6.2 y
Since even after arranging the expression it does not match our equation this is the expression is not equivalent to our equation.
C. 6.2y – 4.5
-4.5 + 6.2 y
Since even after arranging the expression it does not match our equation this is the expression is not equivalent to our equation.
D. 6.2y + 4.5
4.5 + 6.2y
Since even after arranging the expression it does not match our equation this is the expression is not equivalent to our equation.
Hence, the expression that is equal to -4.5-6.2y is -6.2y-4.5.
Learn more about Expressions:
https://brainly.com/question/13947055
What is the solution to the system of equations? 3x - 6y = -12, x -2y =-8.
Answers
Answer:
Step-by-step explanation:
First, we need to write down the equations so we can have a vision of the equations.
3x - 6y = -12
x - 2y = -8
Now we find the simpler equation, and we make it to where one of the variables is on one side.
Let's use the bottom equation.
x = 2y - 8
Now we plug in the equation to the other equation.
3(2y - 8) - 6y = -12
6y - 24 - 6y = -12
-24 = -12
0 = 12
This is a false statement. 0 does not equal 12. That means that the equation has no solutions.
In her calculations, Rosita will be using the square root of 2 often. She wants to use as few digits as possible, but at the same time have sufficient precision. How should Rosita round the square root of 2 so that the approximation times 5 is greater than 7.05?
Answers
Testing the multiplication for each case, it is found that she should round the square root of 2 to three decimal digits.
What is the square root of 2?The square root of 2 is given by:
[tex]\sqrt{2} = 1.41421356237[/tex]
With one decimal digit, the result of the multiplication is:
[tex]5 \times \sqrt{2} = 5 \times 1.4 = 7 < 7.05[/tex]
With two decimal digits, the result of the multiplication is:
[tex]5 \times \sqrt{2} = 5 \times 1.41 = 7.05 = 7.05[/tex]
With three decimal digits, the result of the multiplication is:
[tex]5 \times \sqrt{2} = 5 \times 1.414 = 7.07 > 7.05[/tex]
Hence, she should round the square root of 2 to three decimal digits.
You can learn more about rounding at https://brainly.com/question/17248958
question#15
will give brainliest
Answers
Answer:
the answer should be c because the rise is 1.5 and the run is six
Answer:
The slope of the line is 1/4
Step-by-step explanation:
So the answer is c use rise over run
solve for x plssssssss
Answers
Answer:
x= 90-32
x= 58
Complete the statements based on the dotplots.
The highway MPG values vary _____
the city MPG values. Average highway MPG values tend to be ______
average city MPG.
Answers
Answer:
less than
higher than
Step-by-step explanation:
I got it correct on edg
Answer:
less than, higher than
Step-by-step explanation:
Does the line passing through the points (-3, -6) and (1, 2) intersect the line passing through the points (-4, -1) and (-2, 3)?
Answers
Answer:
no, because when we draw then in grpah the two lines don't intersect.
Answer:
Nope they don't intersect or bisect each other
hope it helps you :)
Susan borrowed $25,000 from a bank for one year at the rate of 10.5% per annum. Compute the amount she must pay to the bank to clear her loan amount; interest is compounded half-yearly.
Answers
Answer:
$29,761.90
Step-by-step explanation:
25,000 ÷ 10.5 = 2,380.95
2,380.95 X 2 = 4,761.90
4,761.90 + 25,000 = $29,761.90
Elsa got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 17 cents per yard. If after that purchase there was $19.05 left on the card, how many yards of ribbon did Elsa buy?
Answers
Answer:
The answer is 35 yards
Step-by-step explanation:
25-19.05 = 5.95
5.95/0.17 = 35 yards
You would like to buy a necklace as a graduation gift for your brother.
It costs $216. You have no savings yet, but you have a job. About how
much would you have to save each month to buy the necklace in
6 months?
Answers
Answer:
$36
Step-by-step explanation:
you would have to save $36 a month to have enough money in 6 months to buy the necklace.
a pizza has a diameter of 16 inches what is the area of the pizza leave answer in terms of pie
Answers
Answer:
201 square inches
Step-by-step explanation:
A scale model of a football stadium has a scale of 1 : 360.
a. The actual length of the football field including the end zones is
120 yards. How long in inches is the football field in the model?
b. How many times the length of the model is the length of the
actual stadium?
show work
Answers
The length of the model is 3 times that of the actual stadium
Scale model of an objectGiven the scale model of a football stadium to be 1:360
If the actual length is 120yards, the length of the football field will be expressed as:
L = 120/360
L = 1/3 yards
L = 1/3 * 36 = 12 inches
Length of the actual stadium = 40 yards
Length of the new stadium = 120 yards
Let x be the multiply
40x = 120
x = 3
Hence the length of the model is 3 times that of the actual stadium
Learn more on scale model here: https://brainly.com/question/261465
The policyholder is really tight on cash and wants to trim down their insurance premiums so they can devote more of their budget to paying off a large credit card debt. Which coverage makes the most sense to eliminate?
A.) Liability coverage, because it is the most expensive part of their bill
B.) Collision coverage, because their car is quite old and the deductible is relatively high
C.) Uninsured motor vehicle coverage, because they already have car insurance, so they won’t ever be uninsured
D.) They cannot eliminate any of this coverage -- it is all required by Federal law
Answers
Answer:
Considering the available options, the coverage that makes the most sense to eliminate is the "Collision coverage, because their car is quite old and the deductible is relatively high."
What is Insurance Premium?
The insurance premium is the money by an individual or company to insure some specific properties. Insurance premium usually covers healthcare, auto, home, and life insurance.
However, one of the ways to reduce the mount paid on insurance premiums is to reduce coverage on older cars.
It is believed that if the car is worth less than 10 times the premium, paying for the coverage is not cost-effective.
Hence, in this case, it is concluded that the correct answer is option A. "Collision coverage because their car is quite old and the deductible is relatively high."
Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.
Answers
Answer: First Option : Sₙ= n/2(a₁ + aₙ)
Step-by-step explanation:
The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.
It is calculated using the formula:
Sₙ= n/2(a₁ + aₙ)
Where :
a₁ = First term
aₙ = last term
n = number of terms
(brainiest) I just need help with the last question please!
In training for a swim meet, Logan swam 750 meters in of an hour. His swimming partner, Mila, swam of Logan's distance in of an hour.
Fill in the blanks to compare Mila's and Logan’s swimming speeds.
1. What is Logan's average swimming speed?
answer:
2.25 kilometers per hour
2. What is Mila's average swimming speed?
answer:
34.44 m/min
HELP ME WITH THIS QUESTION:
3. Compare Mila's and Logan’s swimming speeds.
Answers
3. Other ways to compare Mila's and Logan's swimming speed is to find out the difference of the distance of how long they swam.
Use Mila's average swimming speed and find out how much metres she would swim if she swam for 20 minutes.
33.33 metres x 20 minutes = 666.6 metres
1/5 (4x-2.5) = 5(0.4+10)+ 3 1/2
Answers
Answer:
x = 70
Step-by-step explanation:
To solve, we need to get x all by itself. The right side can be simplified by adding 0.4 and 10 first. Then multiply by 5, then add 3 1/2. See image. You get 277.5 on the right.
To get rid of the 1/5, i think its easier to multiply both sides by 5. (Another way is to distribute the 1/5, but i didn't do it that way)
Then add 2.5.
Then divide by 4.
see image.
Can someone help me with this geometry question I will mark brainliest.
Answers
Answer:
14.2
Step-by-step explanation:
6 + 6sin(30) + 6cos(30) = 14.2
Use the SOHCAHTOA, see below picture.
A cylinder has a radius of 3 cm. Sand is poured into the cylinder to form a layer 2 cm deep. What is the volume of sand in the cylinder?.
Answers
Answer:
Volume=56.54cm³
Step-by-step explanation:
[tex]Solution,\\\\Radius(r)=3cm\\\\Height(h)=2cm\\\\Now,\\\\Volume=\pi r^{2} h\\\\Volume=\pi *(3cm)^{2} *2cm\\\\Volume=18\pi cm^{3} =56.54cm^{3}[/tex]
Karissa paid $16 per hour , and she worked 38 hours each week.
1)How much does she receive each week?
2) if she was paid bi-weekly, how much would she receive every two weeks?
Answers
Answer:
The first one
she works 38 hours in a week and for each hour she gets $16 so 38×16= 608
she gets paid $608 each week
algebra 2 please help me
Answers
Answer:
D. 2 and 5
(Just so you know, I'm not 100% sure this is right but I'm pretty sure I've answered this exact problem before)
Step-by-step explanation:
You have to look at the intersection points between the two lines. The x values are going to be the solution, and in this case line g(x) intersects f(x) at (2,-1) and (5,-4) so you take the x values and have your solutions.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP
Answers
The first one false and the second one true so sorry if it's wrong-
Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.
Answers
Answer:
16 : 2 + 3 (remember pemdas)
Step-by-step explanation:
Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.
16 : 2 + 3 = 11
an outdoor swimming pool costs $9 per day to visit during the summer. there is also a $25 yearly registration fee. is the total proportional to the number of days visited? make a table then explain why or why not this proportional relationship
Answers
Answer:
No
Step-by-step explanation:
cost=25+8d
To be proportional you'd have to have no flat fee: cost=8d
1 day = $8
2 days = $16
5 days = $40
10 days = $80, etc.
I hope I helped.
Answer:
no
Step-by-step explanation:
Since there is a $25 yearly registration fee, the total price will never be directly proportional to the number of days visited because if the number of days visited is multiplied by 9, it will have a leftover yearly registration fee, which cannot be accounted for unless written with a function. See the attached image for a table.
The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velocity
Answers
Answer:
initial velocity = 64 m/s
Step-by-step explanation:
Differentiate H = 64t - 16t² to find an equation for velocity:
Velocity = [tex]\frac{dH}{dt}[/tex] = 64 - 32t
Initial velocity (u) is when t = 0:
u = 64 - 32(0)
⇒ u = 64 - 0
⇒ u = 64 m/s
Solve the math problem
Answers
Answer:
Below!
Explanation:
Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.
2¹ = 23⁵ = 3 x 3 x 3 x 3 x 3 = 2434³ = 4 x 4 x 4 = 646⁴ = 6 x 6 x 6 x 6 = 12567⁴ = 7 x 7 x 7 x 7 = 24011⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 18² = 8 x 8 = 642³ = 2 x 2 x 2 = 84⁴ = 4 x 4 x 4 x 4 = 25610³ = 10 x 10 x 10 = 100012² = 12 x 12 = 1445⁴ = 5 x 5 x 5 x 5 = 6256² = 6 x 6 = 363⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 7297³ = 7 x 7 x 7 = 3432⁴ = 2 x 2 x 2 x 2 = 1611⁰ = 14³ = 4 x 4 x 4 = 641¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1Hoped this helped!
ANYONE KNOW THIS? PLEASE HELP
Answers
Answer:
18
Step-by-step explanation:
The ratio of girls to boys is 9:8
9:8 = 18:16
what is the value of x??
Answers
Answer:
16
Step-by-step explanation:
The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.
