Chapter 7.9, Problem 38HP

To determine

To write: A sequence that is both geometric and arithmetic.

Answer to Problem 38HP

Sequence $2,2,2,2$ is both geometric and arithmetic.

Explanation of Solution

Consider a sequence $2,2,2,2$ .

For arithmetic the common differences are equal between each term.

As,

2 − 2=0

2 − 2=0

Therefore sequence $2,2,2,2$ is an arithmetic sequence.

For Geometric Sequence, common ratios are equal.

As 2/2=1, 2/2=1

Therefore the sequence is both arithmetic and geometric.