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:

  1. Arithmetic Progressions
  2. Arithmetic Progressions Revision Notes
  3. Arithmetic Progressions Formula

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

Download PDF: NCERT Solutions for Class 10 Mathematics Chapter 5 pdf


NCERT Solutions for Class 10 Mathematics Chapter 5

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

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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.

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CBSE X Related Questions

  • 1.
    A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


      • 2.
        The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

          • 0
          • 1
          • 3
          • 2

        • 3.
          Prove that :
          \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


            • 4.
              Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
              Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

                • 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.

              • 5.
                Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


                  • 6.
                    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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