Find a general term an for the geometric sequence.
-$$\mathrm { a } _ { 1 } = \frac { 1 } { 8 } , \mathrm { r } = 5$$
A) $a _ { n } = \left( \frac { 1 } { 8 } \right) ^ { 11 - 1 } - \frac { 1 } { 10 }$
B) $a _ { n } = \frac { 1 } { 8 } - \frac { 1 } { 10 } ( n - 1 )$
C) $a _ { n } = \frac { 1 } { 8 } \cdot 5 ^ { n - 1 }$
D) $a _ { n } = \frac { 1 } { 8 } + \frac { 1 } { 5 } ( n - 1 )$

Question

Quizplus · Accepted Answer

The general term of a geometric sequence is given by $a_n = a_1 \cdot r^{n-1}$, where $a_1$ is the first term and $r$ is the common ratio. For this sequence, $a_1 = \frac{1}{8}$ and $r = 5$, so the general term is $a_n = \frac{1}{8} \cdot 5^{n-1}$.

Find a General Term an for the Geometric Sequence a1=18,r=5\mathrm { a } _ { 1 } = \frac { 1 } { 8 } , \mathrm { r } = 5a1​=81​,r=5

Find a General Term an for the Geometric Sequence $\mathrm { a } _ { 1 } = \frac { 1 } { 8 } , \mathrm { r } = 5$