Squares and odd numbers

The series of first n odd square numbers are 1, 9, 25, 49, 81, 121……

When we add, odd numbers we get square numbers.

1.    First odd number is 1, and square of 1 is

                          (1 x 1 = 1)

2.   Next odd number is 3, total of 1 and 3 is

         1 + 3 = 4, and 4 is square of 2.

                         (2 x 2 = 4)

3.   Next odd number is 5, total of 1, 3 and 5 is

         1 + 3 + 5 = 9, and 9 is square of 3.

                         (3 x 3 = 9)

4.   Next odd number is 7, total of 1, 3, 5, and 7 is

         1 + 3 + 5 +7 = 16, and 16 is square of 4.

                         (4 x 4 = 16)

5.   Next odd number is 9, total of 1, 3, 5, 7, and 9 is

         1 + 3 + 5 +7+ 9 = 25, and 25 is square of 5.

                         (5 x 5 = 25) …. etc.

Odd numbers	Total	Square
1	1	1 = 1 x 1
3	1+3=4	4 = 2 x 2
5	1+3+5=9	9 = 3 x 3
7	1+3+5+7=16	16 = 4 x 4
9	1+3+5+7+9=25	25 = 5 x 5
11	1+3+5+7+9+11=36	36 = 6 x 6

……… etc.