Question

What is the sum of the odd positive integers

Answer 1

So we can do the following: Sum of odd consecutive integers from 1 to 100 = (Sum of all consecutive integers from 1 to 100) - (Sum of even consecutive integers from 1 to 100). Sum of odds = (100 x 101/2) - [2 x (50 x 51/2)] = 5050 - 2550 = 2500.

Answer 2

So we can do the following: Sum of odd consecutive integers from 1 to 100 = (Sum of all consecutive integers from 1 to 100) - (Sum of even consecutive integers from 1 to 100). Sum of odds = (100 x 101/2) - [2 x (50 x 51/2)] = 5050 - 2550 = 2500.