Question

What is the common ratio for the geometric sequence?

Answer 1

Answer: Common ratio is $\frac{3}{5}.$

Step-by-step explanation: Given sequence −15,−9,−275,−8125,...

The general terms of a geometric sequence are:

$a, ar, ar^2, ar^3, ar^4 ......$.

In common ratio is given by dividing next term from previous term

$\frac{ar}{a} = r$

Therefore, in order to find the common ratio for the given geometric sequence, we need to divide second term by first term or third term by second term.

Dividing second term by first term, we get

$\frac{-9}{-15}$

Dividing top and bottom by -3, we get

$\frac{3}{5}$.

Therefore, common ratio is $\frac{3}{5}.$