Question

Find the sum of odd natural numbers from 1 to 101.​

Answer 1

Answer:

• To find the sum of odd numbers between 1 and 101, there are 51 odd numbers in it. Therefore, the sum of each even integers between 1 and 100 is 2550

Explanation:

• 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

Answer:

To find the sum of odd numbers between 1 and 101, there are 51 odd numbers in it. Therefore, the sum of each even integers between 1 and 100 is 2550.

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