Write the first four terms of the sequence whose general term is given.
-$$a _ { n } = \left( - \frac { 1 } { 5 } \right) ^ { n }$$
A) $- \frac { 1 } { 5 } , \frac { 1 } { 25 } , - \frac { 1 } { 125 } , \frac { 1 } { 625 }$
B) $- \frac { 1 } { 5 } , - \frac { 1 } { 25 } , - \frac { 1 } { 125 } , - \frac { 1 } { 625 }$
C) $- \frac { 1 } { 5 } , \frac { 1 } { 10 } , - \frac { 1 } { 15 } , - \frac { 1 } { 20 }$
D) $\frac { 1 } { 5 } , - \frac { 1 } { 10 } , \frac { 1 } { 15 } , - \frac { 1 } { 20 }$

Question

Quizplus · Accepted Answer

The sequence is generated by raising $-\frac{1}{5}$ to the power of $n$, which alternates between negative and positive values, and the denominator increases as $5^n$.

Write the First Four Terms of the Sequence Whose General an=(−15)na _ { n } = \left( - \frac { 1 } { 5 } \right) ^ { n }an​=(−51​)n

Write the First Four Terms of the Sequence Whose General $a _ { n } = \left( - \frac { 1 } { 5 } \right) ^ { n }$