Question

Prove that the sum of five consecutive natural numbers is even

Answer 1

Answer:

Let's take five natural numbers. For example: 2,3,4,5,6.

We cannot take the first 5 or any other natural numbers(1,2,3,4,5) as the first and last number which in this case are 1 and 5 respectively. If we take odd numbers as the first and last number then we can't get an even number as the sum.

So,

$2 + 3 + 4 + 5 + 6 \\ \\ so \: 2 + 3 + 4 + 5 + 6\: is \: 20$

→Hence, the sum of 5 natural numbers is even.

Hope this helped you!