Applying the formula for the sum of the first n integers? a-Evaluate 2+4+6++500

Explanation:

Given

Required

Evaluate the sequence

The sequence shows an arithmetic progression and will be solved using the sum of n terms of an Arithmetic Sequence as follows:

But first, we need to determine the value of n as follows:

Where

So:

Open bracket

Collect Like Terms

Divide through by 2

So:

becomes

Hence, the sum of the sequence is 62750