Question

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

Answer 1

$\left(i\right)$ $49=7^2$

So $49$ can be expressed as sum of first $7$ consecutive odd numbers

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

$\left(ii\right)$ $121={11}^2$

So $121$ can be expressed as sum of first $11$ consecutive odd numbers

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