﻿ NCERT Solutions for Class 10 Maths Arithmetic Progressions | NCERT Arithmetic Progressions

1. Introduction
2. Arithmetic Progressions
3. nth Term of an AP
4. Sum of First n Terms of an AP
5. Summary

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Chapter5- Arithmetic Progression

Course for understanding and practice!

An arithmetic progression or arithmetic sequence is a series of numbers in which the specific relation between the consecutive terms is constant, for example 2, 4, 6,8,10. The general form is a, a+d, a+2d……a+ (n-1) d and here ‘a’ refers to the first term and ‘d’ refers to a common difference. Each digit in the series is called a term.

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The course covers each topic given in the chapter including the NCERT solutions for class 10 maths arithmetic progressions.

1.      How to find the sum of first nth terms?

S is the sum of first nth term and the formula is Sn=n/2{2a+9(n-1) d.

2.      What is derivation?

To conclude a given formula, there is a derivation which holds immense importance in the maths subject. There is more than one method to derive a formula.

3.      How to find the nth term of an AP?

In AP, ‘a’ means the first term and ‘d’ means difference. For example, a1= a + 0d = a + (1-1) d. thus, the Nth term of an AP can be found by the method an = a + (n-1) d.

4.      How to check a given series is AP or not?

For checking the series, one has to check the difference between the terms. If it is same, the series is AP.

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1. Q.No 1 - 22, 42, 64, 88, ?

114

112

116

110

1/10
2. Q.No 2 - Look carefully for the pattern, and then choose which pair of numbers comes next 9, 16, 23, 30, 37, 44, 51

59,66

58,65

54, 61

56,62

None

2/10
3. Q.No 3 - Find the wrong number in the following series. 1250, 1322 , 1452, 1674, 2024 , 2544

1250

1674

2544

2024

None

3/10
4. Q.No 4 - 2442 , 1222 , 614 , 312 ,163 , 90 , 55.75 Look at series carefully and find the wrong number

1222

312

90

614

None of the above

4/10
5. Q.No 5 - 1, 2, 3, 5, 8, ?

11

13

15

9

None of the above

5/10
6. Q.No 6 - A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

650

690

698

700

None of the above

6/10
7. Q.No 7 - Find the wrong number in the following series. 3252 , 3080 , 2958 , 2876 , 2826

3080

2876

2826

3252

None

7/10
8. Q.No 8 - In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

6.25

6.5

6.75

7

None

8/10
9. Q.No 9 - 5, 50, 45, 450, 445, ?, 4445

4450

4600

4550

4500

None of the above

9/10
10. Q.No 10 - The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

0

1

10

19

None of the above

10/10