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.
    Three coins are tossed together. The probability of getting exactly two tails is

      • \(\frac{2}{8}\)
      • \(\frac{1}{2}\)
      • \(\frac{3}{8}\)
      • 1

    • 2.
      Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :


        • 3.
          Prove that : \(\sqrt{\frac{1 - \cos A}{1 + \cos A}} = \frac{\tan A}{\sec A + 1}\).


            • 4.
              PQ is tangent to the circle with centre O such that OP = 2OQ. m\(\angle\)OPQ is

                • 15\(^\circ\)
                • 60\(^\circ\)
                • 45\(^\circ\)
                • 30\(^\circ\)

              • 5.
                There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylindrical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions:

                36(i) What is the total height of a mushroom ?


                  • 6.
                    \(17 \times 11 \times 13 + 11\) is

                      • a prime number.
                      • multiple of 17.
                      • a composite number.
                      • an odd number.

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