NCERT solution Class 10 arithmetic progressions

NCERT Solutions

Class 10 Maths

Arithmetic Progressions

NCERT Questions

Ex. 5.1 Q.1
Ex. 5.1 Q.2
Ex. 5.1 Q.3
Ex. 5.1 Q.4
Ex. 5.2 Q.1
Ex. 5.2 Q.2
Ex. 5.2 Q.3
Ex. 5.2 Q.4
Ex. 5.2 Q.5
Ex. 5.2 Q.6
Ex. 5.2 Q.7
Ex. 5.2 Q.8
Ex. 5.2 Q.9
Ex. 5.2 Q.10
Ex. 5.2 Q.11
Ex. 5.2 Q.12
Ex. 5.2 Q.13
Ex. 5.2 Q.14
Ex. 5.2 Q.15
Ex. 5.2 Q.16
Ex. 5.2 Q.17
Ex. 5.2 Q.18
Ex. 5.2 Q.19
Ex. 5.2 Q.20
Ex. 5.3 Q.1
Ex. 5.3 Q.2
Ex. 5.3 Q.3
Ex. 5.3 Q.4
Ex. 5.3 Q.5
Ex. 5.3 Q.6
Ex. 5.3 Q.7
Ex. 5.3 Q.8
Ex. 5.2 Q.9
Ex. 5.3 Q.10
Ex. 5.3 Q.11
Ex. 5.2 Q.12
Ex. 5.3 Q.13
Ex. 5.3 Q.14
Ex. 5.3 Q.15
Ex. 5.3 Q.16
Ex. 5.3 Q.17
Ex. 5.3 Q.18
Ex. 5.3 Q.19
Ex. 5.3 Q.20
Ex. 5.4 Q.1
Ex. 5.4 Q.2
Ex. 5.4 Q.3
Ex. 5.4 Q.4
Ex. 5.4 Q.5

Ex. 5.3 Q.1

Find the sum of the following APs:

(i) 2, 7, 12, . . ., to 10 terms. (ii) -37, -33, -29, . . ., to 12 terms.

(iii) 0.6, 1.7, 2.8, . . ., to 100 terms. (iv) 1/15,1/12,1/10,.....,to 11 terms.

Sum of n terms of Arithmetic progression (AP) is Sum = (n/2)*{2a + (n - 1)*d} where n = Number of terms in AP

a = First term of AP d = Common difference of AP

Given Arithmetic Series is:

2,7,10,.....,to 10 terms

Here a =2, n = 10, d = 7-2 = 5

Sum = (10/2)*{2*2 + (10-1)*5}

= 5*(4 + 9*5)

= 5*(4 + 45)

= 5*49

= 245

=> Sum = 245

Given Arithmetic Series is:

-37,-33,-29,.....,to 12 terms

Here a =-37, n = 12, d = -33-(-37) = -33 + 37 = 4

Sum = (12/2)*{2*(-37) + (12-1)*4}

= 6*(-74 + 11*4)

= 6*(-74 + 44)

= 6*(-30)

= - 180

=> Sum = - 180

Given Arithmetic Series is:

0.6,1.7,2.8,.....,to 100 terms

Here a =0.6, n = 100, d = 1.7 - 0.6 = 1.1

Sum = (100/2)*{2*0.6 + (100-1)*1.1}

= 50*(1.2 + 99*1.1)

= 50*(1.2 + 108.9)

= 50*110.1

= 5505.0

=> Sum = 5505.0

Given Arithmetic Series is:

1/15,1/12,1/10,.....,to 11 terms

Here a =1/15, n = 11, d = 1/12 - 1/15 = 1/60

Sum = (11/2)*{2*(1/15) + (11-1)*(1/60)}

= (11/2)*(2/15 + 10/60)

= (11/2)*(18/60)

= (11*18)/(2*60)

= (11*3)/(2*10) (when 18 and 60 is divided by 6) = 33/20

=> Sum = 33/20

Video solution:

Arithmetic Progressions Class 10 Maths NCERT Chapter 5 NCERT Solutions

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NCERT solutions of Arithmetic Progressions Class 10 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 10 Maths Arithmetic Progressions NCERT solutions.