CBSE Class 10 Maths Chapter 5 – Arithmetic Progressions – Free PDF Download
Free PDF download of Class 10 Maths Chapter 5 – Arithmetic Progressions Revision Notes & Short Key-notes prepared by expert Mathematics teachers from latest edition of CBSE(NCERT) books.
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CBSE Class 10 Maths Revision Notes Chapter 5 Arithmetic Progressions
- Arithmetic Progressions
- nth Term of an AP
- Sum of First n Terms of an AP
- Miscellaneous Questions
- Sequence: A set of numbers arranged in some definite order and formed according to some rules is called a sequence.
- Progression: The sequence that follows a certain pattern is called progression.
- Arithmetic Progression: A sequence in which the difference obtained by subtracting any term from its preceding term is constant throughout, is called an arithmetic sequence or arithmetic progression (A.P.).
The general form of an A.P. is a, a+d, a + 2d, ….. (a : first term, d = common difference).
The terms of A.P. is denoted by 
.
- General Term: If ‘a’ is the first term and ‘d’ is common difference in an A.P., then term (general term) is given by .
Sum of n Terms of an A.P. : If ‘a’ is the first term and ‘d’ is the common difference of an A.P., then sum of first n terms is given by
If ‘’ is the last term of a finite A.P. then the sum is given by
(i) If is given, then common difference
(ii) If is given, then term is given by
(iii) If a, b, c are in A.P., then 2b = a + c.
(iv) If a sequence has n terms, its term from the end term from the beginning.