How to tell what is a geometric sequence?

Question

Mathematics

Avah Torres

27 April, 03:01

How to tell what is a geometric sequence?

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Barbara Frey · Answer 1

Geometric Sequence is a sequence in which each term is founded by multiplying the previous term by by a constant.

If a1 is a first term in a sequence and a2 is the second term, than: a2 = a1 * r. Also: a3 = a2 * r = a1*r². Therefore An = a1 * r^ (n-1). For example: sequence: 3, 9, 27, 81, ... is a Geometric Sequence, where a1 = 3 and r = 3.