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NCERT Class 10 Mathematics Chapter 5 Arithmetic Progressions PDF
(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 Sn of the first n terms of an AP is given by Sn = 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 Sn is also denoted by S.
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Chapter 5 Arithmetic Progressions Digital Textbook & Resources for Class 10 Mathematics
Official NCERT E-Textbook: Chapter 5 Arithmetic Progressions (NCERT)
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