CBSE Class 10 Mathematics Question 39 of 48

Arithmetic Progressions — Question Ex 5.3 Q8

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Ex 5.3 Q8
Question

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Answer

Exercise 5.3 Class 10 Maths NCERT Solutions Arithmetic Progression Q8

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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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