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