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, ...
\(a_1 = 0.1\)
\(a_2 = 0.01\)
\(a_3 = 0.001\) ......
by definition of common difference;
\(r = \frac{a_2}{a_1}=\frac{a_3}{a_2}.....\)
Substitute the given values we have;
\(r = \frac{0.01}{0.1}=\frac{0.001}{0.01}.....\)
Simplify:
\(r = 0.1\)
Therefore, the common ratio for the given sequence is 0.1
