Which explicit formula is equivalent to a1= 1/3, an=an-1+1

Which Explicit Formula Is Equivalent To A1= 1/3, An=an-1+1

Answers

Answer 1

The explicit rule will be an = 1/3 + (n - 1)

An explicit formula for a sequence

Given the following information

a1 = 1/3an = an-1 + 1

a2 = a1 + 1

a2 = 4/3

For the third term

a3 = a2 + 1

a3 = 4/3 + 1

a3 = 7/3

The resulting seqence is 1/3, 4/3, 7/3

The sequence is an arithmetic sequence

a = 1/3

d = 1

The explicit rule will be an = 1/3 + (n - 1)

Learn more on explicit rule here: https://brainly.com/question/2059043


Related Questions

The width of a rectangular lot is 100 feet less than the length. If the perimeter is 1000 feet, what
are the dimensions of the lot?

Answers

Answer:

length = 300 feet , width = 200 feet

Step-by-step explanation:

Let the length of the lot be x feet

Then the width shall be ( x - 100 ) feet

perimeter of rectangle formula: 2 ( length + width )

                                              1000    : 2 ( x + x - 100 )

                                               1000 : 2 ( 2x - 100 )

                                               1000 : 4x - 200

                                               1000 + 200 : 4x

                                                x : 1200 / 4

                                                x : 300

Then the length is 300 feet

The width is ( x -100 ) = 300 - 100 = 200 feet

Answer:

W = 200 ft.L = 300 ft.

Step-by-step explanation:

We know that:

W = L - 100 P = 1000 feet

Solution:

P = 1000 feet=> L + W + L + W = 1000 ft.=> L + L - 100 + L + L - 100 = 1000 ft.=> 4L - 200 = 1000 ft.=> 4L = 1200 ft.=> L = 300 ft.=> W = L - 100 => W = 300 - 100=> W = 200 ft.

Hence, the length and the width of the rectangular lot is 300 ft. and 200 ft. respectively.

PLZ HELP ME WITH NUMBERS 5 AND 6
ITS DUE TOMORROW!!!!!!!!

Answers

Answer:

5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not

6. The line is gonna be y= 1/3 - 2

Step-by-step explanation:

For 5 just plug in the numbers for x and y.

Sebastian buys a gift which costs £18.20 He pays with a £20 note. (a) How much change does he receive?​

Answers

Answer:

1.80

Step-by-step explanation:

i think

QUESTION ON PIC‼️❓THX

Answers

Answer:

78.54 ft^2

Step-by-step explanation:

The area of a circle is pi*r^2

R is the radius, which is half the diameter, so 5.

5^2 is 25, and that times pi is about 78. 54. Because this is feet and area is squared, our unit is ft^2

Hope this helps!

88% of the fish in a pet store are freshwater fish. The pet store has 350 fish. How many of their fish are freshwater? You can use a ratio table to help solve.

Question 1 options:

47


262


308

Answers

Answer:

308

Step-by-step explanation:

i used my calculator and got 308

One minus the quotient of one and a number x.

Answers

Answer:

1 - 1/x

Step-by-step explanation:

1 - 1/x

Answer:

1 - 1/X

Step-by-step explanation:

Quotient of A and B can be expressed as

A/B

Hence, the expression is
1 - 1/X

What is the perimeter of a rectangle with length 8 and area=72 please show work

Answers

Answer:

Area = length x width. Solution : Area = 5 x 10. Area = 50 in². Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle.

Step-by-step explanation:

Helppppp!!!14) There is a proportional relationship between grapefruit and
their cost. If Ana bought x grapefruit for $4, then how
many
grapefruit can Tracy buy if she has $12?
F 12x
G 3
H 2x
J 3x

Answers

Answer:

The answer is J, 3x.

Step-by-step explanation:

Hi. I will help. Work is shown below.

x grapefruit = $4

y grapefruit = $12

How do we get from 4 to 12? We multiply by 3. Since we multiply by 3 on one side, we have to do the same to the other side, so 3 times x. That's 3x. Therefore, the answer is 3x.

Please mark brainliest if possible and i hope you get a good grade on your homework ;)

I just need someone to convert those numbers to percentages. Thank you!

Answers

Answer:

Middle school      High school

93%          36%

31%           54%

Step-by-step explanation:

this is over 100% btw

27 solid iron spheres,each of radius x cm are melted to form a sphere with radius y cm ,find the ratio of x:y

Answers

Radius of 1 solid iron sphere =r

→ Volume =34πr3

→ Volume of 27 solid iron

spheres =27x34πr3

→ 34πr'3=27x34πr3

r'3=2πr3

→r'=3r

(ii) Surface area =4+πr2

SA r'=4πr'2

=4π(3r)2=36πr2

S'S=36πr24πr2=91=1:9

IN A triangle has side lengths of (6v + 2) centimeters, (6v +5) centimeters, and (3w - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?​

Answers

Answer:

3 rd choice

Step-by-step explanation:

perimeter = sum of all sides

= 6v+2+6v+5+3w-2= 12v+3w+5

15 is 60% of what number?

please hurry !

Answers

Answer:

15 is 60% of 25

Step-by-step explanation:

Hope it helps and have a great day! =D

~sunshine~

the probability that Olivia will make a free throw is 0.6, what is the probabilty that olivia makes the first free throw and then misses the second free throw

Answers

I don’t not know the exact answer

Answer:

1.2/2

Step-by-step explanation:

If the probability is 0.6 to make one of 2 then you just add those together getting 1.2

Hannah walked 0.75 of a mile between 7:35 am and 7:47 am. At what speed, in miles per hour, did she walk during this time interval?

State one assumption that had to determine Hannah's speed.​

Answers

0.75 miles in 12 minutes

0.75 * 5 miles in one hour

15 / 4 miles in an hour

she walked at 3.75 mph

this assumes she walks at the same pace for the whole time

please give brainliest

Zacharias is using the quadratic formula to solve the equation 0 = –2x2 + 5x – 3. He begins by substituting as shown.

Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Substitution:
What error did Zacharias make?

The –5 should be 5.
The 52 should be –52.
The 2 in the numerator should be –2.
The 2 in the denominator should be –2.

Answers

Answer: C.

Step-by-step explanation:

The 2 in the numerator should be –2.

In the queston given, we have a quadratic equation which we are asked to solve only with quadratic formula. The solution of the equation are 1 and 3/2

Data;

a = -2b = 5c = -3

What is Quadratic formula?

Quadratic formula is used to solve quadratic equations and it is given as

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

Let's substitute the values and solve the quadratic equation.

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\x = \frac{-5 +- \sqrt{5^2 - 4*(-2)*(-3)} }{2*(-2)} \\x = \frac{-5+-\sqrt{25-24} }{-4} \\x = \frac{-5+- \sqrt{1} }{-4} \\x = \frac{-5+1}{-4} \\x= \frac{-4}{-4} = 1\\or\\x = \frac{-5-1}{-4} \\x = \frac{3}{2}[/tex]

From the calculations above, the solutions to this equation are 1 or 3/2

Learn more on quadratic formula here;

https://brainly.com/question/8649555

Find the value of the variable in the parallelogram.

Answers

Answer:

i have the answer

Step-by-step explanation:

Two angles are supplementary. The difference of the angle measures is 74​°. Find the measure of each angle.

Answers

Answer:

The angles are 53° and 127°.

Step-by-step explanation:

Supplementary angles add up to 180°. So now that we know that, we must now use algebra.

I will use x and x-74 in my equation.

So the equation:

x+x-74=180.

=2x-74=180

2x=180+74

2x=254

x=127​°

So the other angle is 127-74=53

The angles are 53 and 127.

Help math math math

Answers

3/8. 3/8 + 1 5/8 = 2
it’s 3/8 have a great night!

write -4(7+ (-1)) as an equivalent expression.

Answers

Answer:

4(-7+ (1))

Step-by-step explanation:

how do I solve
graph y=In(x)

Answers

Answer:

replace the value of x but x cannot be 0 or a negative number

Step-by-step explanation:

for example:

replace x with 1===> y will be =0 cuz ln(1) = 0

replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7

replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1

replace x with 4==> y will be =  1.4 cuz ln(4)= 1.4

but the graph of ln(x) is famous

check it on the web

To help their patients, psychologists seek to control them, that is, to make the
patient conform to behavioral standards set up by the psychologist.


true or false ?

Answers

Answer: true

Step-by-step explanation:

Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.

Answers

Let's solve

in ∆GNK

GN=130GJ=94GK=GJ/2=47

Apply pythagorean theorem

[tex]\\ \sf\longmapsto NK^2=GN^2-GK^2=130^2-47^2=16900-2209=14691[/tex]

[tex]\\ \sf\longmapsto NK=\sqrt{14691}[/tex]

[tex]\\ \sf\longmapsto NK=121(Approx)[/tex]

If you observe the traingle

GN=NJ=130

[tex]\\ \sf\longmapsto LJ^2=JN^2-LN^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=130^2-78^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=16900-6084[/tex]

[tex]\\ \sf\longmapsto LJ^2=10816[/tex]

[tex]\\ \sf\longmapsto LJ=\sqrt{10816}[/tex]

[tex]\\ \sf\longmapsto LJ=104[/tex]

LH=LJ =104

So

in ∆HNL

[tex]\\ \sf\longmapsto HN^2=104^2+78^2[/tex]

[tex]\\ \sf\longmapsto HN^2=10816+6084[/tex]

[tex]\\ \sf\longmapsto HN^2=16900[/tex]

[tex]\\ \sf\longmapsto HN=\sqrt{16900}[/tex]

[tex]\\ \sf\longmapsto HN=130[/tex]

Done .

PLZ HELP ILL MARK BRAINLEIST

Answers

Your third option! You’re very welcome!

How to graph this Inequality

Answers

Answer:

x ≤ 2

Step-by-step explanation:

3y - 2x = 9 slope intercept form

Answers

Answer:

[tex]y=\frac{2}{3}x+3[/tex]

Step-by-step explanation:

[tex]3y-2x=9\\\\3y=2x+9\\\\y=\frac{2}{3}x+3[/tex]

You are gifted a laptop upon your graduation that cost $3200. The laptop depreciates at a rate of 18% per year. After your second year of college you want to sell the laptop. How much can you reasonably sell it for?

Answers

Answer:

first off you were gifted a cruddy cheap  laptop that was "free"

yo can  sell it for around 900$ at a pawn shop and that high balling the price

Write an explicit function for the line that contains the points: (-7,5) and (6, -21).

Answers

[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-21}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-21}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-7)}}}\implies \cfrac{-26}{6+7}\implies \cfrac{-26}{13}\implies -2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-7)}) \\\\\\ y-5=-2(x+7)\implies y-5=-2x-14\implies y=-2x-9[/tex]

I think it’s B. But I’m not sure

If it’s not can someone explain why?

Answers

Answer:

C

Step-by-step explanation:

| x | > 10

Has solutions that go infinitely high to the right and infinitely low to the left on the number line.

That is x > 10 or x < - 10

This is indicated on Graph C

PLSSSSSSS HELPPPP SOMEBODYYYY

Answers

Answer:

64%

Step-by-step explanation:

there are 16 people aged 21 or under out of a total of 25

[tex]\frac{16}{25} (100)=64[/tex] %

Hope this helps

Help please!!!!!!!!!

Answers

Number two:two thirds equals eight twelfths

Number six:ten fifthteenths or two thirds
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