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CBSE Class 10 Mathematics Question 48 of 48

Arithmetic Progressions — Question Ex 5.4 Q5

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Ex 5.4 Q5
Question

A small terrace at a football ground comprises of 15 steps each of which is 50  m long and built of solid concrete. Each step has a rise of \(\frac { 1 }{ 2 } m\) and a tread of \(\frac { 1 }{ 2 } m\). Calculate the total volume of concrete required to build the terrace.
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.4 Q2

Answer

Arithmetic Progressions - CBSE Class 10 | CBSE Class 10 Maths | Bright Tutorials
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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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