Find the indicated term of the geometric sequence.
-7th term of 0.2, 0.02, 0.002, . . .
A)0.0000002
B)0.00000002
C)0.000002
D)0

Question

Quizplus · Accepted Answer

The common ratio (r) of the sequence is 0.02 / 0.2 = 0.1. The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{(n-1)}$, where $a_1$ is the first term, $r$ is the common ratio, and $n$ is the term number. For the 7th term: $a_7 = 0.2 \cdot (0.1)^{7-1} = 0.2 \cdot (0.1)^6 = 0.2 \cdot 0.000001 = 0.0000002$.

Find the Indicated Term of the Geometric Sequence