Respuesta :

meerkat18
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:

common ratio for the given sequence is 0.1

Step-by-step explanation:

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

Given the sequence:

0.1, 0.01, 0.001, ...

[tex]a_1 = 0.1[/tex]

[tex]a_2 = 0.01[/tex]

[tex]a_3 = 0.001[/tex] ......

by definition of common difference;

[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}.....[/tex]

Substitute the given values we have;

[tex]r = \frac{0.01}{0.1}=\frac{0.001}{0.01}.....[/tex]

Simplify:

[tex]r = 0.1[/tex]

Therefore, the common ratio for the given sequence is 0.1

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