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Question:

(i) Express 49 as a sum of 7 odd numbers (ii) Express 121 as a sum of 11 odd numbers.

Solution:

(i) 49 = 7²
So 49 can be expressed as the sum of the first 7 consecutive odd numbers
49 = 1 + 3 + 5 + 7 + 9 + 11 + 13
(ii) 121 = 11²
So 121 can be expressed as the sum of the first 11 consecutive odd numbers
121 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21