Geometric Progressions

A geometric progression (GP) is a sequence in which each term after the first is obtained by multiplying the previous term by a fixed number.

Definition

General Term

Example: Finding nth Term

Sum of First n Terms

Example: Finding Sum

Infinite GP (Convergent)

Example: Infinite GP

Properties of GP

Geometric Mean

Practice Problems

1. Find the 8th term of the GP:
2. Find the sum of first 10 terms of the GP:
3. Find the sum of
4. Insert 3 GP between 2 and 162.