Select the first five terms of the sequence.(Assume that n begins with 1.) $a _ { n } = \left( \frac { 1 } { 5 } \right) ^ { n }$
A) $\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 15 } , \frac { 1 } { 125 } , \frac { 1 } { 25 }$
B) $\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 125 } , \frac { 1 } { 20 } , \frac { 1 } { 3125 }$
C) $\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 }$
D) $\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 15 } , \frac { 1 } { 20 } , \frac { 1 } { 25 }$
E) $1 , \frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 }$

Question

Select the first five terms of the sequence.(Assume that n begins with 1.)  $a _ { n } = \left( \frac { 1 } { 5 } \right) ^ { n }$  
A) $\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 15 } , \frac { 1 } { 125 } , \frac { 1 } { 25 }$
B) $\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 125 } , \frac { 1 } { 20 } , \frac { 1 } { 3125 }$
C) $\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 }$
D) $\frac { 1 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 15 } , \frac { 1 } { 20 } , \frac { 1 } { 25 }$
E) $1 , \frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 }$

Quizplus · Accepted Answer

The sequence is generated by raising $\frac{1}{5}$ to the power of $n$, where $n$ starts at 1. The first five terms are $\frac{1}{5}^1, \frac{1}{5}^2, \frac{1}{5}^3, \frac{1}{5}^4, \frac{1}{5}^5$, which simplifies to $\frac{1}{5}, \frac{1}{25}, \frac{1}{125}, \frac{1}{625}, \frac{1}{3125}$.

Select the First Five Terms of the Sequence an=(15)na _ { n } = \left( \frac { 1 } { 5 } \right) ^ { n }an​=(51​)n

Select the First Five Terms of the Sequence $a _ { n } = \left( \frac { 1 } { 5 } \right) ^ { n }$