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CBSE Class 10 Mathematics Question 40 of 48

Arithmetic Progressions — Question Ex 5.3 Q11

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Ex 5.3 Q11
Question

If the sum of the first n terms of an AP is 4n – n2, what is the first term (that is S1)? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms.

Answer

Arithmetic Progression Class 10 NCERT Solutions Pdf Ex 5.3 Q11

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CBSE Class 10 Arithmetic Progressions — Complete Guide

AP is a high-scoring chapter carrying 5-6 marks. The nth term and sum formulae appear in every board exam.

Quick Revision: Key Concepts

  • AP: a, a+d, a+2d, ... (constant common difference)
  • nth term: an = a + (n−1)d
  • Sum: Sn = n/2[2a + (n−1)d] = n/2(a + l)
  • Key relation: an = Sn − Sn−1

Most Important Questions

  1. Find specific terms (nth term, last term)
  2. Find sum of first n terms
  3. Find number of terms when sum is given
  4. Application problems (salary, savings, stacking)

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