Question

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

Answer 1

Answer:

Hi!

The correct answer is A. 4.

Step-by-step explanation:

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

$r=\frac{a_{i+1}}{a_i}$

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

$r=\frac{a_{4+1}}{a_4} =\frac{a_{5}}{a_4}$ // replace the values

$r= \frac{2048}{512} = 4$

The common ratio of this geometric sequence is 4.

Answer 2

Answer:

  A.  4

Step-by-step 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.