# Arithmetic Progressions class 10 Notes Mathematics

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## 10 Mathematics notes Chapter 5 Arithmetic Progressions

Download CBSE class 10th revision notes for Chapter 5 Arithmetic Progressions in PDF format for free. Download revision notes for Arithmetic Progressions class 10 Notes and score high in exams. These are the Arithmetic Progressions class 10 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the the best tips recommended by teachers during exam days.

CBSE Class 10 Mathematics
NCERT Revision Notes
CHAPTER 05
ARITHMETIC PROGRESSIONS

1. Arithmetic Progressions
2. nth Term of an AP
3. Sum of First n Terms of an AP
4. Miscellaneous Questions

5. Sequence: A set of numbers arranged in some definite order and formed according to some rules is called a sequence.
6. Progression: The sequence that follows a certain pattern is called progression.
7. 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 $a,{a_2},{a_3},........,{a_n}$.

1. General Term: If ‘a’ is the first term and ‘d’ is common difference in an A.P., then ${n^{th}}$ term (general term) is given by ${a_n} = a + \left( {n - 1} \right)d$.

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
${S_n} = \frac{n}{2}\{ 2a + (n - 1)\;d\}$
If ‘$l$’ is the last term of a finite A.P. then the sum is given by ${S_n} = \frac{n}{2}\{ a + l\}$
(i) If ${a_n}$ is given, then common difference $d = {a_n} - {a_{n - 1.}}$
(ii) If ${S_n}$ is given, then ${n^{th}}$ term is given by ${a_n} = {s_n} - {s_{n - 1}}$
(iii) If a, b, c are in A.P., then 2b = a + c.
(iv) If a sequence has n terms, its ${r^{th}}$ term from the end $= {(n - r + 1)^{th}}$ term from the beginning.

## Arithmetic Progressions class 10 Notes

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## CBSE Class-10 Revision Notes and Key Points

Arithmetic Progressions class 10 Notes. CBSE quick revision note for Class-10 Mathematics, Chemistry, Maths, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.

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