NCERT Solutions for class 10 Mathematics Chapter 5: Arithmetic Progressions

NCERT Solutions for Class 10 Mathematics Chapter 5 Arithmetic Progressions are provided in this article. Some of the important topics of Arithmetic Progressions chapter includes:

Expected no of questions: 2 to 3 questions of total 5 marks

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NCERT Solutions for Class 10 Mathematics Chapter 5

NCERT Solutions for Class 10 Mathematics Chapter 5 Arithmetic Progressions is given below.

Class 10 Mathematics Chapter 5 Arithmetic Progression – Important Topics

Arithmetic Progression[AP] is a mathematical series in which the difference between any two subsequent numbers is a fixed value.

For example, the natural number sequence 1, 2, 3, 4, 5, 6,... is an AP because the difference between two consecutive terms (say 1 and 2) is equal to one (2 -1). Even when dealing with odd and even numbers, the common difference between two consecutive words will be equal to 2.

In simpler words, an arithmetic progression is a collection of integers where each term is resulted by adding a fixed number to the preceding term apart from the first term.

For eg:- 4,6,8,10,12,14,16

The general series for AP is given by,

m, m+d, m+2d, m+3d, ... m+(n-1)d

Formula for finding nth term of an AP series is given by,

an = a + (n-1)d

Formula for sum of n terms is given by,

S = n/2[2a + (n − 1) × d]

NCERT Solutions for Class 10 Chapter 5 Exercises

NCERT Solutions for Class 10 Chapter 5 Arithmetic Progressions Exercises are given below.

Maths Related Articles:

Fundamental Theorem of Arithmetic	Euclid Division Lemma	Root 2 is an irrational number
Complex numbers	Real Numbers Formula	Degree of Polynomial
Factorisation of Polynomials	Roots of Polynomials	Nature of roots

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NCERT Solutions for Class 10 Mathematics	Important Maths Formulas	Maths Study material
Difference between in Maths	Algebra	Arithmetics
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CBSE X Related Questions

1.
The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :
- 0
- 1
- 3
- 2
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2.
If the pair of linear equations : $ a_1x + b_1y + c_1 = 0 $ and $ a_2x + b_2y + c_2 = 0 $ is consistent and dependent, then
- $ \frac{a_1}{a_2} \neq \frac{b_1}{b_2} $
- $ \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} $
- $ \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} $
- $ \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} $
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3.
The natural number 1 is :
- a prime number.
- a composite number.
- prime as well as composite.
- neither prime nor composite.
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4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
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5.
The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :
- $q - 9p$
- $p - 9q$
- $p + 9q$
- $2p + 9q$
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6.
If the quadratic equation $9x^2 + 8kx + 16 = 0$ has real and equal roots, then the value of k is
- 3
- –3
- –4
- $\pm 3$
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