- An arithmetic progression (A.P) is a list of numbers in which difference between two consecutive numbers (except the first term) is called the Common Difference (d) and is always equal. A sequence a1, a2, a3,… is said to be an Arithmetic Progression
- The General form of an A. P. is a, a + d, a + 2 d, a + 3 d, …
- In an A. P. with first term a and common difference d, the nth term otherwise called as ‘General Term’ is given by
- If ‘l’ is the last term of an A. P., a is the first term and ‘d’ the common difference, then the number of terms n = .
- The sum of the first
- n terms of an AP given by S n =
- Also if l is the last term of a finite AP (or) the nth term, then the sum of all terms of an AP is given by:Sn =
A few properties of an AP
(i) If a constant quantity is added to or subtracted from each term of a given AP, we get another AP.
(ii) If each term of a given AP is multiplied or divided by a non-zero constant, another AP is formed.
Section 1General Term
Lecture 1Part 1
Lecture 2Part 2
Section 2Sum of n-terms
Lecture 3Part 1
Lecture 4Part 2