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CBSE Class 10 Mathematics Question 46 of 48

Arithmetic Progressions — Question Ex 5.4 Q3

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Ex 5.4 Q3
Question

A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 at the top. If the top and the bottom rungs are \({ 2 }\frac { 1 }{ 2 } m\) apart, what is the length of the wood required for the rungs?
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.4 Q1

Answer

Exercise 5.4 Class 10 Maths NCERT Solutions Arithmetic Progression Q3

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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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