CBSE Class 10 Mathematics Question 28 of 48

Arithmetic Progressions — Question Ex 5.3 Q10

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Ex 5.3 Q10
Question

Show that a1, a2, ……. an,…… form an AP where an is defined as below:
(i) an = 3 + 4n
(ii) an = 9 – 5n
Also find the sum of the first 15 terms in each case.

Answer

Arithmetic Progression Class 10 NCERT Solutions Pdf Ex 5.3 Q10

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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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