What is the common ratio of the geometric sequence below? 625, 125, 25, 5, 1, …

Solution:

Given, the geometric sequence is 625, 125, 25, 5, 1,....

We have to find the common ratio of the given geometric sequence.

In geometric sequence, a, b, c, d, … the common ratio r is given by

r = b/a = c/b = d/c.

So, r = 125/625 = 25/125 = 5/25 = 1/5;

r = 1/5

Therefore, the common ratio is r = 1/5.

What is the common ratio of the geometric sequence below? 625, 125, 25, 5, 1, …

Summary:

The common ratio of the geometric sequence 625, 125, 25, 5, 1, …is 1/5.