Anyways, one day in Mrs. Deaf's math class before making Gauss deaf she assigned them a pop quiz with which she told them to find the sum of the first (insert number here) odd numbers, and all the questions were like this with the amount of odd numbers going above 100 for each one. However, Gauss finished it with ease handing it to Mrs. Deaf 3 minutes in. She told him to do it again because she knew it was all wrong and she didn't see any work of him adding the odd numbers. He told her "No, they are all right. If not, you can make me deaf."

"Deal" says the teacher thinking that she would win.

However, the paper was all right: Here's how it looked:

Find the sum for the first __ odd numbers:

112: 12544 350: 122500

222: 49284 500: 250000

123: 15129

Furious at him, she broke her side of the deal and screamed at him, lying about how the paper was all wrong. The now deaf Gauss got up and as calmly as he came he went to his desk, waiting for Mrs. Deaf to make a look of sorry but she didn't.And the rest of the story doesn't really matter because the puzzle is already shown in front of us. The question is, how did Gauss sum up the odd numbers so quickly.