Question

Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 1 0.1 0.01 0.001

Answer 1

The common ratio is 0.10

0.1 x 0.1 = 0.01
0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10
common ratio = 0.001/0.01 = 0.10

Answer 2

common ratio for the given sequence is 0.1

Explanation:

Common ratio(r) defined as the ratio of term to the previous term.

Given the sequence:

0.1, 0.01, 0.001, ...

`a_1 = 0.1`

`a_2 = 0.01`

`a_3 = 0.001` ......

by definition of common difference;

`r = (a_2)/(a_1)=(a_3)/(a_2).....`

Substitute the given values we have;

`r = (0.01)/(0.1)=(0.001)/(0.01).....`

Simplify:

`r = 0.1`

Therefore, the common ratio for the given sequence is 0.1