Question

(i) Express 49 as the sum of 7 odd numbers.

(ii) Express 121 as the sum of 11 odd numbers.

Answer 1

We know that the sum of first n odd natural numbers is n².

(i) 49 = 7² Therefore, 49 is the sum of first 7 odd natural numbers. 49 = 1 + 3 + 5 + 7 + 9 + 11 + 13

(ii) 121 = 11² Therefore, 121 is the sum of first 11 odd natural numbers. 121 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21