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. 5.1 Q.2

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

(i) a = 10, d = 10 (ii) a = –2, d = 0 (iii) a = 4, d = – 3 (iv) a = – 1, d = 1/2 (v) a = – 1.25, d = – 0.25

a = 10, d = 10

Let the series be a₁, a₂, a₃, a₄, a₅, …………. a₁ = a = 10 a₂ = a₁ + d = 10 + 10 = 20 a₃ = a₂ + d = 20 + 10 = 30 a₄ = a₃ + d = 30 + 10 = 40

a₅ = a₄ + d = 40 + 10 = 50

Therefore, the series will be 10, 20, 30, 40 50, …………

First four terms of this AP will be 10, 20, 30 and 40.

a = –2, d = 0

Let the series be a₁, a₂, a₃, a₄, a₅, ………….

a₁ = a = -2 a₂ = a₁ + d = -2 + 0 = -2 a₃ = a₂ + d = -2 + 0 = -2 a₄ = a₃ + d = -2 + 0 = -2

Therefore, the series will be -2, -2, -2, -2, -2 …………

First four terms of this AP will be -2, -2, -2 and -2.

a = 4, d = – 3

Let the series be a₁, a₂, a₃, a₄, a₅, ………….

a₁ = a = 4

a₂ = a₁ + d = 4 - 3 = 1

a₃ = a₂ + d = 1 - 3 = -2

a₄ = a₃ + d = -2 - 3 = -5

Therefore, the series will be 4, 1, -2, -5, …………

First four terms of this AP will be 4, 1, -2 and -5.

a = – 1, d = 1/2

Let the series be a₁, a₂, a₃, a₄, a₅, …………. a₁ = a = -1 a₂ = a₁ + d = -1 + 1/2 = -1/2

a₃ = a₂ + d = -1/2 + 1/2 = 0 a₄ = a₃ + d = 0 + 1/2 = 1/2

Therefore, the series will be -1, -1/2, 0, 1/2, …………

First four terms of this AP will be -1, -1/2, 0 and 1/2.

a = – 1.25, d = – 0.25

Let the series be a₁, a₂, a₃, a₄, a₅, …………. a₁ = a = -1.25 a₂ = a₁ + d = -1.25 – 0.25 = -1.50 a₃ = a₂ + d = -1.50 – 0.25 = -1.75 a₄ = a₃ + d = -1.75 – 0.25 = -2.00

Therefore, the series will be -1.25, -1.50, -1.75, -2.00, ………… First four terms of this AP will be -1.25, -1.50, -1.75 and -2.00.

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.