Is 3, 6, 9, 12 ,15, 18 a geometric sequence?

1 Answer
Dec 16, 2015

No, it's an arithmetic sequence with initial term 3 and common difference 3.

Explanation:

A geometric sequence has a common ratio between terms.

An arithmetic sequence has a common difference between terms.

If a sequence of Real numbers is both a geometric sequence and an arithmetic sequence then it is constant.

Note I say Real numbers. The sequence 1, -1,1,-1,... is both an arithmetic and geometric sequence in modulo 4 arithmetic, with common difference 2 and common ratio -1.