Question

find the common ratio of the following geometric sequence.

5/12, 1/3, 4/15, 16/75, 64/375

if necessary use the slash bar to enter a fraction. reduce fractions to their lowest terms

Answer 1

The common ratio is basically the ratio of a term to a previous term. So the common term of this one is:

(1/3)/(5/12)
= 4/5

Answer 2

You can prove this by checking the other terms:

(4/15)/(1/3)=(16/75)/(4/15)=(64/375)/(16/75)=4/5

so the common ratio is 4/5

Answer 3

Refer to the calculation attached using Mathematica.