﻿ 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

# Rs. 590

* Inclusive of all taxes

• ### Enroll Now & Experience SCOREX

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.

Our experienced and well-educated staffs at ScoreX™ offer the course in a unique and effective way including the NCERT arithmetic progressions.

What comprises the course?

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.

Want to be perfect in this chapter? Get our full course now!

1. Q.No 1 - 5, 50, 45, 450, 445, ?, 4445

4450

4600

4550

4500

None of the above

1/10
2. Q.No 2 - Find the wrong number in the following series. 3252 , 3080 , 2958 , 2876 , 2826

3080

2876

2826

3252

None

2/10
3. Q.No 3 - Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

7

10

12

13

None

3/10
4. Q.No 4 - 17, 14, 14, 11, 11, 8, 8 What comes next?

8,5

5,2

7,7

5,5

None

4/10
5. Q.No 5 - Find the wrong number in the following series. 1250, 1322 , 1452, 1674, 2024 , 2544

1250

1674

2544

2024

None

5/10
6. Q.No 6 - During World War I Germany was defeated in the Battle of Verdun on the western front and Romania declared war on the eastern front in the year

None

6/10
7. Q.No 7 - 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

7/10
8. Q.No 8 - 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

8/10
9. Q.No 9 - 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

9/10
10. Q.No 10 - Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

1/3

1/8

2/8

1/16

None

10/10