Part A

What is the explicit formula the sequence 8,10,12.5,15.625...?

Part AWhat Is The Explicit Formula The Sequence 8,10,12.5,15.625...?

Answers

Answer 1

Given:

The sequence is 8, 10, 12.5, 15.625,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

8, 10, 12.5, 15.625,...

Here, the first terms is 8.

[tex]\dfrac{10}{8}=1.25[/tex]

[tex]\dfrac{12.5}{10}=1.25[/tex]

[tex]\dfrac{15.625}{12.5}=1.25[/tex]

The common ratio is 1.25. So, the given sequence is a geometric sequence.

The explicit formula for a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The explicit formula for the given geometric sequence is:

[tex]a_n=8(1.25)^{n-1}[/tex]

Therefore, the correct option is A.


Related Questions

List six consecutive multiples of five that are decreasing

Answers

Answer:

30, 25, 20, 15, 10, 5

Hope this helps :)

what is the value of the expression when s=2 and t=1.5 -3|5-s3|+3t​

Answers

Answer:

-4.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

|Absolute Value| - makes any negative number positive

Step-by-step explanation:

Step 1: Define

-3|5 - s³| + 3t

s = 2

t = 1.5

Step 2: Evaluate

Substitute in variables:                                                                                     -3|5 - 2³| + 3(1.5)|Absolute Value| Exponents:                                                                            -3|5 - 8| + 3(1.5)|Absolute Value| Subtract:                                                                               -3|-3| + 3(1.5)Absolute Value:                                                                                                -3(3) + 3(1.5)Multiply:                                                                                                             -9 + 4.5Add:                                                                                                                   -4.5

What is the value of the expression
-8 + 14?

Answers

What the other person said

Lea,Paul and Tynos invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?​

Answers

Answer:

see explanation

Step-by-step explanation:

Sum the parts of the ratio, 2 + 3 + 5 = 10 parts

Divide the profit by 10 to find the value of one part of the ratio.

$450 000 ÷ 10 = $45 000 ← value of 1 part of the ratio, then

2 parts = 2 × $45 000 = $90 000 ← Lea's share

3 parts = 3 × $45 000 = $135 000 ← Paul's share

5 parts = 5 × $45 000 = $225 000 ← Tynos' share

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Please Help

Which of the following is a continuous random variable?

A. X= number of incoming flights at the local airport

B. T=winning time in the man's 100 meter dash at the 2016 Olympics

C. P=number of points scored by Stephen curry in a game

D.H=The number of hats sold on Tuesday

Answers

I assume it’s A because there will always be incoming flights at a local airport whereas the other options are limited and can’t be changed

Answer:

option A

Step-by-step explanation:

because it is not limited to anything while option b is limited to the men's hundred meter dash and 2016, and to the Olympics

C is limited to one game and stephen curry

D is limited to tuesday

since option a isn't confined to one day, person, or specific event there can be endless numbers assigned to the variable

you are evenly dividing up 57 apples among 5 friends

Answers

Answer:

11.4 have a great day :)

Step-by-step explanation:

Answer:

This cannot be true.

Step-by-step explanation:

You cannot divide 57 evenly among 5 because 57 is not a multiple of five therefore 57 can't be divided by 5.

Solve the system of equations -x+6y=2 and -3x+y=-11 by combining the equations.

Answers

X=4,,,,,,,,,,,,,,,,,,,,,,,,,,y=1,,,,,,,,,
Combine (5-i)+3i

Two glasses of milk and 3 snack bars have a total of 67 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a total of 47 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answers

Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Step-by-step explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

what is the equation of the trend line in the scatter plot ? HELP ME HURRY ILL MARK BRAINLIEST

Answers

Answer:

[tex] y = \frac{3}{7} x + 3 [/tex]

Step-by-step explanation:

Line is passing through the points (0, 3) and (7, 6)

So, y-intercept (b) = 3

Slope of the line (m) = (6 - 3)/(7 - 0) = 3/7

Equation of line in slope-intercept form is given as :

y = mx + b

Plugging the values of m and b in the above equation, we find:

[tex]y = \frac{3}{7} x + 3 \\ [/tex]

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Answers

Answer:

D

Step-by-step explanation:

If you figure out the median you'll see that for 8th grafe its 21 and 7th 25 therefore 4 points higher

Solve
a.2 (3x - 1) = 40
b.4(2x + 13) = 80

What is x​

Answers

the first answer is 40

then number B is 80 hope this helps

Which is an equation for the line shown?
A) y = 3
B) x = 3
C) y=-3
D) x = -3

Answers

Answer:

The equation for the line shown is

C) y=-3

please right answers only xoxo

Answers

Answer:

Look below.

Step-by-step explanation:

A. First you look along the x-axis and then the y-axis to find coordinate A, doing this we could see that point A is (-3,-2)

B. Do the same for this question. Go along the x-axis to 3 and then go up 4 spaces along the y-axis, and mark an x to inicate that its their.

Answer:point a is at (-3,-2)

Step-by-step explanation:

Please select the best answer from the choices provided ASAP

Answers

Answer:

c

Step-by-step explanation:

I think the correct answer is C

Find the output, ddd, when the input, ttt, is 111111. d =-20+11td=−20+11td, equals, minus, 20, plus, 11, t d=d=d, equals

Answers

Answer:

d=101

Step-by-step explanation:

If 11 is being multiplied by t, and t is 11, we multiply 11 by 11, we get 121.

After adding that to our equation, we get -20 + 121, which equals 101.

Therefore d=101

The value of d, when t = 11 is equal to 141.

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the following equation -

d = - 20 + 11t

We have -

d = - 20 + 11t

for t = 11, we get -

d = 20 + 11 x 11

d = 20 + 121

d = 141

Therefore, the value of d, when t = 11 is equal to 141.

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ5

What decimal is equivalent to 13/20?

Answers

Answer: 0.65

13/20 as a decimal is 0.65.

0.65 is equivalent to 13/20

it takes eight blocks with side links of a quarter m to fill a rectangle or prism the rectangular prism has a volume of what in Cubic meters

Answers

Answer:

1/8 m³

Step-by-step explanation:

Given that:

Side length of block, s = 1/4

Volume of block, V

V = s³

Volume of block = (1/4)³ = 1/4 * 1/4 * 1/4 = 1 /64

The rectangular prism takes 8 of this blocks :

Hence, the volume of the rectangular prism is :

Number of blocks * Volume per block

8 * 1 /64

8 /64

= 1/8 m³

Find the mean of the set of data.
6, 8, 6, 6, 8, 6, 3, 8, 3, 8.

Answers

Answer:

Hellothe mean of the data =

= 6+8+6+6+8+6+3+8++3+8

10

= 62

10

= 6.2

Step-by-step explanation:

thanks pls mark as brainliest

Find an equation for the nth term of the arithmetic sequence.

30 POINTS!!!
Find an equation for the nth term of the arithmetic sequence.
a19 = -92, a20 = 6

A an = -1856 + 98(n - 1)
B an = -1856 - 98(n - 1)
C an = -1856 - 98(n + 1)
D an = -1856 + 98(n + 1)

Answers

Answer:

I think it is C

Step-by-step explanation:

The answer to this question is C

A local boutique marks up all merchandise by 45%. If she purchases a dress wholesale for $28, what will be the sale price at her boutique? Help please

Answers

Answer:

45+28

Step-by-step explanation:

the

Derrick wants to calculate the interest he would earn from investing $400 into an account that earns 5.5% annual compound interest for 60 months. Which of the following formulas is set up correctly to help him do this?

Answers

Answer:

c

Step-by-step explanation:

The formula that should be set up correctly to help him do this should be considered as the [tex]400(1 + 5.5\%)^{60}[/tex]

Calculation of the formula:

Since

the invested amount is $400

The annual compound interest is 5.5%

And, the number of months should be 60

So here the formula that should be used should be [tex]400(1 + 5.5\%)^{60}[/tex]

Hence, The formula that should be set up correctly to help him do this should be considered as the [tex]400(1 + 5.5\%)^{60}[/tex]

Learn more about interest rate here: https://brainly.com/question/14191952

I need help with this question can someone help

Answers

Answer:

c = 72

a = 51

b = 57

x = 28

Step-by-step explanation:

2x+1 + 2x-5 = 108

4x -4 = 108

4x = 112

x = 28

(2(28)-5)= 51

(2(28)+1) = 57

The a question is attached below

Answers

Answer:

22.2m

Step-by-step explanation:

vol of a sphere = 4/3 x pi x r^3

vol of a hemisphere is 1/2 the vol of a sphere, so vol of a hemisphere= 2/3 x pi x r^3

2/3pi x r^3 = 257

Divide both sides by 2/3pi

r^3 = 122.708

Cube root both sides.

r = 11.077

Diameter is twice the radius, so diameter = 22.154m

To the nearest 10th of a meter this is 22.2m.

Hope I helped x

Determine if this table is a linear function. If so, what is the slope?

Answers

Answer:

No, it is not linear

Step-by-step explanation:

It does not steadily increase the same interval every time.

Hope this helps (:

please help, algebra two problem

Answers

Answer: -12

Step-by-step explanation:

Karla has spent $39 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation would help you find the cost of the cheese?

Let c = the amount spent on cheese

Click on the correct answer:

1)C+ 4c/5c=39

2)C+2c + 4c = 39

3)C+.5c + 4c = 39

4)C(.5c+ 4c) = 39

This is part of "Using Linear Equations to Solve Problems:Application" on Edmentum.​

Answers

Answer:

i think the answer is 3)C+.5c + 4c = 39

Step-by-step explanation:

question 9 working out plzzz

Answers

One central on a 1:50 000

Answer:

Here is the answer key!

https://2fv5d843v9w22sxtto1ibxtu-wpengine.netdna-ssl.com/wp-content/uploads/2015/12/Ratio-H-Speed-Distance-Time-Rates-of-Change-v2-SOLUTIONS.pdf

Step-by-step explanation:

CAN SOMEONE PLEASE FIND THE VOLUME AND SURFACE AREA OF THIS FIGURE.

and round to the nearest hundredth

Answers

Answer:

Volume = 1659.84Surface area = 1205.36

Step-by-step explanation:

Volume for triangular prism = 1/2 * b * l * h

we are given the length and the height but not the base.

since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2

13.3^2 + b^2 = 20.5^2

176.89 + b^2 = 420.25

b^2 = 243.36

b = [tex]\sqrt{243.36}[/tex] = 15.6

1/2 (15.6)(13.3)(16) = 1659.84

Front: 15.6 x 13.3 = 207.48

Back: 15.6 x 13.3 = 207.48

Left: 15.6 x 16 = 249.6

Right: 13.3 x 16 = 212.8

Bottom: 20.5 x 16 = 328

207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36

What is the factored form of x^2+4x-12=0

Answers

Answer:

if this is what you looking for

= 2

x = − 6

6Step-by-step explanation:

Subtract right answers please

Answers

Answer: 11 - (-12) = 23

              -22 - 49 = -71

Answer:

23

-71

Step-by-step explanation:

11 - (-12) = ?

-22 - 49 = ?

11 - ( -12) = 11 + 12 = 23

-22 - 49

subtracting a negative from a negative is like adding a positive to a positive it has the same affect just a different sign

-22 - 49 = -(22 + 49)

22 + 49 = 71

-(71) = -71

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