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



Given: 

(i) 49

(ii) 121

To do:

We have to express 49 as the sum of 7 odd numbers and 121 as the sum of 11 odd numbers.

Solution:

$49=7^2$

This implies,

$1 + 3 + 5 + 7 + 9 + 11 + 13 = 49

$121=11^2$

This implies,

$1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 = 121$ 

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