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It is quite simple when you note that the sum of the first n odd numbers is n2.

That is

1 = 1 = 12

1 + 3 = 4 = 22

1 + 3 + 5 = 9 = 32

It can be proven that this is always true (but not now).

So if you go to 100, you are adding to the 50th odd number.

And, therefore, the sum is 502 = 2500

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12y ago
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Q: How do you find the sum of all the odd numbers from 1-100?
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