# Sum of even numbers formula explained

Learn and know the formula for finding the sum of even numbers. If there are limited or finite number of even numbers let’s say 10 even numbers. Finding the sum of these 10 even numbers is very easy; just we add all the even numbers to get the sum.

If you want to find sum of 150 even numbers then it becomes very difficult to find sum. We can find the sum by adding all the even numbers but the problem is it is a time taking process. So in order to find sum of even numbers that may be 50 or 100 or 150 or 300 even numbers we need to know the formula.

## Formula for finding sum of “n” even numbers:

Let 2, 4, 6, 8, 10, 12, 14, 16, ………………,n be the even numbers, then the sum of all these even numbers i.e. 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + …………………..+ n is given by n ( n + 1 ).

Example:

Let us take some even numbers 2, 4, 6, 8, 10, 12, 14, 16. Here we have 8 even numbers. The sum of all these 8 even numbers is given by 8 (8 + 1) = 8 (9) = 72.

Hope that the formula is useful in finding the sum of any number of even numbers.