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
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CBSE X Related Questions

1.
A kite is flying at a height of $60 \text{ m}$ above the ground level. Ravi, standing at the roof of the house is holding the string straight and observes the angle of elevation of kite as $30^{\circ}$. From the bottom of the same building, the angle of elevation of kite is $45^{\circ}$. Find the length of the string and height of roof from the ground. (Use $\sqrt{3} = 1.73$)
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2.
$ABCD$ is a parallelogram such that $AF = 7 \text{ cm}$, $FB = 3 \text{ cm}$ and $EF = 4 \text{ cm}$, length $FD$ equals
- $\frac{21}{4} \text{ cm}$
- $\frac{28}{3} \text{ cm}$
- $\frac{12}{7} \text{ cm}$
- $5.5 \text{ cm}$
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3.
If $\alpha, \beta$ are the zeroes of the polynomial $p(x) = x^2 - 3x - 1$, then find the value of $\frac{1}{\alpha} + \frac{1}{\beta}$.
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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.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals
- $x^2 + 5x - 4$
- $(x + 3) (-x + 8)$
- $a(x^2 + 5x - 24)$
- $x^2 - 24$
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6.
The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :
- 0
- 1
- 3
- 2
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