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What is 1 + 3 + 5 + 7 + ... 99 = ?

Updated: Aug 4, 2023

There are several different ways to solve this problem, but here we would like to present to you a geometrical approach.


Let's start with the first two terms, i.e "1 + 3": 1 + 3 = 4 which is square of 2.


When we add 5 to that we get 1 + 3 + 5 = 9 and this is square of 3.


And, after adding one more term to the sum, we have 1 + 3 + 5 + 7 = 16 which is square of 4. This keeps going on like that.

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