What is the sum of the first 5000 odd numbers?

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lfryerda | High School Teacher | (Level 2) Educator

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The sum of the first n odd numbers is `n^2` .

We can easily validate this using the first few values of n.

When n=1, so they are the same.

When n=2, `1+3=4=2^2`

When n=3, `1+3+5=9=3^2`

So the sum of the first 5000 odd numbers is 

`1+3+5+cdots+10001=5000^2=25000000`

The sum of the first 5000 odd numbers is 25,000,000.

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