Maths - Why Is the Sum of Odd Numbers Equal to n2?

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 1. List the first 10 odd numbers
1 3 5 7 9 11 13 15 17 19 ...

2. Calculate the sum for each odd number from 1 to n


1 = 1
1+3 = 4
1+3+5 = 9
1+3+5+7 = 25


1    2    3   4      5

1    4    9   16     25


Why do the answers are equal to n^2?

Here is the geometrical proof
https://drive.google.com/file/d/1UalkCsZV6LZM4Vppw20KjTXx6D4Bw5Nu/view?usp=drive_link




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