Question

Express 144 as the sum of first odd number

Answer 1

We know that the sum of the first n odd natural numbers is equal to n

2

, for every natural number n.

Therefore, the sum of first 12 odd natural numbers is equal to 12

2

=144.

Now, the first 12 odd numbers are 1,3,5,7,9,11,13,15,17,19,21,23 and their sum is determined as follows:

1+3+5+7+9+11+13+15+17+19+21+23=12

2

=144

Hence 1+3+5+7+9+11+13+15+17+19+21+23=144