Question

sum of even natural numbers between 1to1000 and sum of odd numbers between 1 to 1000 and their difference using sn formula ​

Answer 1

Answer:

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. Now, the set {3,5,7,9.

Explanation:

The number series 1, 3, 5, 7, 9, . . . . , 1999. Therefore, 1000000 is the sum of first 1000 odd numbers.