Question

Find the sum of the even number between 0 and 60​

Answer 1

Given,

All the even numbers between 0 and 60.

To find,

The sum of the given numbers.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The sum of the first "n" natural numbers is calculated as follows:

Sn = n(n+1)/2

{Statement-1}

Now, according to the question;

All the even numbers lying between 0 and 60 are 2, 4,-------,58,60.

So, the sum of all these numbers

= {2+4+---------+58+60}

= 2{1+2+-----------+29+30}

= 2 × n(n+1)/2 {where n = number of terms added = 30}

= 30(30-1)

= 30×31 = 930

Hence, the sum of all the even numbers between 0 and 60 is equal to 930.