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