Find a formula for the nth term of the sequence. $$\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \ldots$$
A) $a _ { n } = \frac { 1 } { 5 n }$
B) $a _ { n } = \frac { 1 } { 5 ^ { n } }$
C) $a _ { n } = 5 ^ { \frac { 1 } { n } }$
D) $a _ { n } = \frac { 1 } { n ^ { 5 } }$

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence where each term is obtained by multiplying the previous term by $1/5$. Therefore, the nth term is given by $a_n = \frac{1}{5^n}$.

Find a Formula for the Nth Term of the Sequence 15,125,1125,1625,…\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \ldots51​,251​,1251​,6251​,…

Find a Formula for the Nth Term of the Sequence $\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \ldots$