Sequence and Series
 The Concept of Arithmetic Progression
 An arithmetic progression is a list of numbers in which the difference between any two consecutive terms is equal.
 In an AP, each term, except the first term, is obtained by adding a fixed number called common difference to the preceding term.
 The common difference of an AP can be positive, negative or zero.
Example 1:

 1. is an AP whose first term and common difference are 3 and 3 respectively.
 2. is an AP whose first term and common difference are 7 and –2 respectively.
 3. is an AP whose first term and common difference are –7 and 0 respectively.

 The general form of an AP can be written as a, a + d, a + 2d, a + 3d …, where a is the first term and d is the common difference.
 A given list of numbers i.e., a_{1}, a_{2}, a_{3} … forms an AP if a_{k}_{+1} – a_{k} is the same for all values of k.
Example 2:
Which of the following lists of numbers forms an AP? If it forms an AP, then write its next three terms.
(a) –4, 0, 4, 8, …
(b) 2, 4, 8, 16, …
Solution:
(a) –4, 0, 4,…
To view the complete topic, please