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.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.
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2.
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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3.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
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4.
In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.
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5.
The natural number 1 is :
- a prime number.
- a composite number.
- prime as well as composite.
- neither prime nor composite.
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6.
Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
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