Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that n begins with 1.) $a _ { n } = - 8 \left( \frac { 1 } { 5 } \right) ^ { n }$
A)-8
B)5
C) $\frac { 1 } { 5 }$
D)8
E)not arithmetic

Question

Quizplus · Accepted Answer

The given sequence is not arithmetic because the difference between consecutive terms is not constant. Instead, each term is obtained by multiplying the previous term by a constant factor ($\frac{1}{5}$), which indicates that the sequence is geometric, not arithmetic.

Determine Whether the Sequence Is Arithmetic an=−8(15)na _ { n } = - 8 \left( \frac { 1 } { 5 } \right) ^ { n }an​=−8(51​)n

Determine Whether the Sequence Is Arithmetic $a _ { n } = - 8 \left( \frac { 1 } { 5 } \right) ^ { n }$