The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.
-$$a _ { n } = 5 ^ { n }$$
A) geometric, $r = 5$
B) arithmetic, $\mathrm { d } = 5$
C) geometric, $r = 6$
D) neither

Question

Quizplus · Accepted Answer

The sequence is geometric because each term is obtained by multiplying the previous term by a constant value, which is 5 in this case. Hence, the common ratio $r$ is 5.

The General Term of a Sequence Is Given an=5na _ { n } = 5 ^ { n }an​=5n

The General Term of a Sequence Is Given $a _ { n } = 5 ^ { n }$