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CBSE Class 10 Mathematics Question 33 of 48

Arithmetic Progressions — Question Ex 5.3 Q19

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Ex 5.3 Q19
Question

200 logs are stacked in the following manner 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on (see Figure). In how many rows are the 200 logs placed and how many logs are in the top row?
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.3 Q2

Answer

Ch 5 Maths Class 10 NCERT Solutions Arithmetic Progression Ex 5.3 Q19

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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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