Arithmetic Progressions

An arithmetic progression (AP) is a sequence in which the difference between consecutive terms is constant.

Definition

General Term

Example: Finding nth Term

Sum of First n Terms

Example: Finding Sum

Properties of AP

Inserting Arithmetic Means

Example: Inserting Means

Practice Problems

1. Find the 15th term of the AP:
2. Find the sum of first 30 terms of the AP:
3. Find if , , and .
4. Insert 5 APs between 2 and 22.