Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither.
$$\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots$$
A) neither
B) geometric
C) arithmetic

Question

Quizplus · Accepted Answer

The sequence is geometric because each term is obtained by multiplying the previous term by a constant ratio, which is $\frac{1}{5}$.

Determine Whether the Sequence Is an Arithmetic Sequence, a Geometric 15,125,1125,1625,13125…\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots51​,251​,1251​,6251​,31251​…

Determine Whether the Sequence Is an Arithmetic Sequence, a Geometric $\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots$