# CBSE Class 10 Maths Arithmetic Progressions

Read and download CBSE Class 10 Maths Arithmetic Progressions in NCERT book for Class 10 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 10 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 10 Mathematics to understand the answers of the exercise questions given at the end of this chapter

## NCERT Book for Class 10 Mathematics Chapter 5 Arithmetic Progressions

Class 10 Mathematics students should refer to the following NCERT Book Chapter 5 Arithmetic Progressions in Class 10. This NCERT Book for Class 10 Mathematics will be very useful for exams and help you to score good marks

### Chapter 5 Arithmetic Progressions NCERT Book Class 10

Chapter 5

Arithmetic Progressions

Arithmetic Progression

Let us consider the following set of members :

1, 5, 9, 13, 17………….

9, 12, 15, 18, 21……..

-5, 0, 5, 10, 15………

1.3, 1.6, 1.9, 2.2……..…

All these sets follow certain rules. In first set 5 - 1 = 9 - 5 = 13 - 9 = 17 - 13 = 4

In second set 12 - 9 = 15 - 12 = 18 - 15 = 21 - 18 = 3

and so on. In first set the number after 17 in 17 + 4 = 21 and in second set number after

21 is 21 + 3 = 24. In this way we find that in first set second number is 1+ 4 = 5, third

number is 5 + 4 = 9 = 1 + 2 x 4 and son on.

On the basis of above discussion we can consider the following series

a, a + d, a + 2d, a + 3d, .........................

Here a = 1, d = 4

a + d = 1 + 4 = 5

a + 2d = 1 + 2 x 4 = 9

and so on

Thus we can say that

a = First term

a + d = Second term

a + 2d = Third term

a + 3d = Fourth term and son on

nth term = a + (n - 1)d

Here First term = t1 = a

Second term = t2 = a + d

and hence, tn = a + (n - 1)d

d is called common difference and the series is called arithmultic progression

Let s = 1 + 2 + 3 + 4 + 5 + 6 + 7 + + 8 + 9 + 10 and writting in reversed order

S = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

Adding these two we get 2s = 11 + 11 + 11 + 11 + 11 + 11 + 11 = 11 + 11 + 11

= 10 X 11

s = (10 X 11)/2 = 55

Exercise - 8

Find the common difference of the A.P. and write the next two terms:

1. 1/2, 5/2, 9/2, 13/2, ---------

3. 3.5, 4, 4.5, 5, -------------

2. 6, 10, 14, 18,---------

4. 0, 1/3, 2/3, 1, -------

5. Find 15th term of -10, -5, 0, 5, ------

7. a, b, c are in A.P. show that 2b = a + c

6. Find 11th term of 1/2, 3/4, 1, 5/4, ------

Find the nth term of the following:

8. 2, 5, 8, 11, ------------

9. 1, 2.5, 4, 5.5, -----------

Find tnof the following term

10. t1 = 1, t6 = 11

Please refer to attached file for  CBSE Class 10 Maths Arithmetic Progressions

 NCERT Class 10 Maths Real Numbers NCERT Class 10 Maths Real Numbers Questions
 NCERT Class 10 Maths Polynomials NCERT Class 10 Maths Polynomials Questions
 CBSE Class 10 Maths Linear Equations NCERT Class 10 Maths Pair Of Linear Equations NCERT Class 10 Maths Pair Of Linear Equations Questions
 NCERT Class 10 Maths Quadratic Equations NCERT Class 10 Maths Quadratic Equations Questions
 NCERT Class 10 Maths Introduction To Trigonometry NCERT Class 10 Maths Introduction To Trigonometry Questions
 NCERT Class 10 Maths Some Applications Of Trigonometry
 NCERT Class 10 Maths Circles NCERT Class 10 Maths Circles Questions
 NCERT Class 10 Maths Constructions NCERT Class 10 Maths Constructions Questions
 NCERT Class 10 Maths Areas Related To Circles NCERT Class 10 Maths Areas Related To Circles Questions
 NCERT Class 10 Maths Surface Areas And Volumes NCERT Class 10 Maths Surface Areas And Volumes Questions
 NCERT Class 10 Maths Statistics NCERT Class 10 Maths Statistics Questions
 CBSE Class 10 Maths Probability NCERT Class 10 Maths Probability
 NCERT Class 10 Maths Answers and Solutions
 NCERT Class 10 Maths Proofs In Mathematics
 NCERT Class 10 Maths Mathematical Modelling

### Mathematics NCERT Book Class 10 Chapter 5 Arithmetic Progressions

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### NCERT Book Class 10 Mathematics Chapter 5 Arithmetic Progressions

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