Question

Find the sum of series
$2 + 4 + 6 + ....... + 200$
​

Answer 1

Hello dear!

Here is your answer,

We know that 2 to 100, there are 50 even numbers.

So, from 2 to 200, there are 100 even numbers.

So, n = 100

Now, we also know that the sum of even numbers starting from 2 to 'n' terms is given by n ( n + 1 ).

Substitute the values we get,

n ( n + 1 )

=> 100 ( 100 + 1 )

=> 100 × 101

=> 10100

Answer : 10100