# What is the sum of the first 5000 odd numbers?

*print*Print*list*Cite

### 1 Answer

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.**