Question

The values in the table represent an exponential function.what is the common ratio of the associated geometric sequence

x y
1 8
2 32
3 128
4 512
5 2048


A.4 B.24 C.40 D.8

Answer 1

Hi!

The correct answer is A. 4.

Explanation:

To find the common ratio of an geometric sequence of set A = {a₁, a₂, a₃, ..., aₙ} you can use the formula:

`r=(a_(i+1))/(a_i)`

If you pick x = 4 to find the ratio, you have to replace in the formula:

`r=(a_(4+1))/(a_4) =(a_(5))/(a_4)` // replace the values

`r= (2048)/(512) = 4`

The common ratio of this geometric sequence is 4.

Answer 2

A. 4

Explanation:

Pick two terms with consecutive x-values and find their ratio. That is the common ratio.

for x = 2 and x = 1,

r = 32/8 = 4

The common ratio is 4.

_____

You can check other pairs of terms if you want to confirm.

r = 2048/512 = 4 . . . . for x=5 and 4.