An observation on odd numbers

Let us start by presenting the sequence of odd numbers.

1,3,5,7,9,11,13,15….

Now let’s sum the first two terms of the sequence.

1+3=4

We now want to sum the first three terms of the sequence.

1+3+5=9

As you can see if we continue summing more and more terms of the sequence we get larger and larger perfect squares. This assertion may be formalized as 1+3+5+7…n =x^2 here n represents the nth odd number. The proof of this assertion is left to the avid reader of this blog.

Thank you,

Nunghead