Question

A student wanted to find the sum of all the even numbers from 1 to 100. He said: The sum of all the even numbers from 1 to 100 is twice the sum of all the odd numbers from 1 to 100. The sum of all the odd numbers from 1 to 100 is 1002. Explain why each of these statements is incorrect.

Answer 1

bcz 1002 is an even number.

Answer 2

Answer:

The sum has been calculated wrong.

Step-by-step explanation:

(i) The sum of all the even numbers from 1 to 100 is twice the sum of all the odd numbers from 1 to 100.

This statement is FALSE,

because sum of 1-100 even numbers is 2550.

and sum of first 1-100 odd numbers is  2500.

(ii)  The sum of all the odd numbers from 1 to 100 is 1002.

This statement is FALSE, because sum of odd numbers from 1-100 is 2500.