Question

The sum of first n odd natural numbers is ______.

Answer 1

The sum of first n odd natural numbers is n².

Explanation:

The first n odd numbers are 1, 3, 5, ..., 2n – 1. 

Their sum `S = n/2 xx ("first" + "last")` 

= `n/2 xx (1 + (2n - 1))` 

= `n/2 xx 2n`

= n²