Sum of odd numbers
Proof of $$1+3+5+\cdots = n^{2}$$
Count the number of balls in the L shaped regions.Notice that they are odd numbers.
Furthermore,count the number of balls considering the length or the breadth(they will turn out to be the same).
Sum of all balls = (number of balls on the length)$^{2}$.
Count the number of balls in the L shaped regions.Notice that they are odd numbers.
Furthermore,count the number of balls considering the length or the breadth(they will turn out to be the same).
Sum of all balls = (number of balls on the length)$^{2}$.
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