CBSE Class 10 Mathematics Question 44 of 48

Arithmetic Progressions — Question Ex 5.4 Q2

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Ex 5.4 Q2
Question

The sum of the third term and the seventh term of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP?

Answer

Ex 5.4 Class 10 Maths NCERT Solutions Arithmetic Progression Q2
Ex 5.4 Class 10 Maths NCERT Solutions Arithmetic Progression Q2.1

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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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