NCERT Book Class 10 Maths Arithmetic Progressions Questions

(A) Main Concepts and Results

• An arithmetic progression (AP) is a list of numbers in which each term is obtained by adding a fixed number d to the preceding term, except the first term a. The fixed number d is called its common difference. The general form of an AP is a, a + d, a + 2d, a + 3d,...

• In the list of numbers a1, a2, a3,... if the differences a2 – a1, a3 – a2, a4 – a3,... give the same value, i.e., if ak + 1 – ak is the same for different values of k, then the given list of numbers is an AP.

• The nth term an (or the general term) of an AP is an = a + (n – 1) d, where a is the first term and d is the common difference. Note that a1 a.

• The sum S_n of the first n terms of an AP is given by S_n = n/2 [2a + (n – 1) d] If l is the last term of an AP of n terms, then the sum of all the terms can also be  given by

Sn =n/ 2 [a + l] Sometimes S_n is also denoted by S.

Please refer to attached file for NCERT Class 10 Maths Arithmetic Progressions Questions