7.Without adding, find the sum.
(i) 1 + 3 + 5 + 7 + 9

(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23


Answer :

We know that the sum of n odd numbers =\( n^2\).So, we have:

(i) 1 + 3 + 5 + 7 + 9 = \((5)^2\) = 25 [∵ n = 5]

(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = (10)2 = 100 [∵ n = 10]

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 = \((12)^2\) = 144 [∵ n = 12]

NCERT solutions of related questions for Squares and Square Roots

NCERT solutions of related chapters class 8 maths

NCERT solutions of related chapters class 8 science