NCERT Solutions for Class 10 Maths Chapter 5
Important NCERT Questions
Arithmetic Progression
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 5.3
Page No:113
Questions No:14
Find the sum of the odd numbers between 0 and 50.
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The odd numbers between 0 and 50: 1, 3, 5, …, 49.
Here, a = 1, d = 3 – 1 = 2 and n = 25.
The sum of n terms of an Ap is given by
S_n = n/2[2a + (n -1)d]
ā Sāā = 25/2[2(1) + (25 – 1)(2)]
= 25/2[2 + 48]
= 25/2(50) = 625
Hence, the sum of the odd number between 0 and 50 is 625.
first step – find the odd numbers between 1 to 50
1 , 3, 5, 7, 9,11,13,15,17,19,21,23,25,27,28,31,35,37,39,41,43,45,47,49
second step – add all of them
= 625 and it is not 626 cause 0 is not an odd number as 0 can be divided easily ( if you divide 0 to any number the answer is 0 ) hope this helps š