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 '$n^2$'.

(i)

$49=7^2$

Therefore, $49$ is the sum of first $7$ odd natural numbers.

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

(ii)

$121={11}^2$

Therefore,$121$ is the sum of first $11$ odd natural numbers.

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