thematic summation

Sums are usually of arbitrary numbers, but sometimes a sum has a theme. A good example of this concerns the odd numbers, namely, the sum of the first n odd numbers. This thematic summation is of interest because of its gem of an answer: ‘n squared’. For example, the first 3 odd numbers are 1, 3, and 5, and their sum is 9, which is 3 squared.



[Number Theory]