GEOMETRIC PROGRESSION

Introduction of Geometric Sequence

Each term is found by multiplying the previous term by a constant.

Sequence is a set of things (usually numbers) that are in order.

In General we write a Geometric Sequence like this:

{a, ar, ar², ar³, ... }

where:

·         a is the first term, and

·         r is the factor between the terms (called the "common ratio")

But be careful, r should not be 0:

·         When r=0, we get the sequence {a,0,0,...} which is not geometric

The Rule

We can also calculate any term using the Rule:

A Geometric Sequence can also have smaller and smaller values:

Why Geometric Sequence?

Because it is like increasing the dimensions in geometry:

Geometric Sequences are sometimes called Geometric Progressions (G.P.’s)