Question

Find the sum of the series: 2 + 4 + 6 + 8 + ... + 100.

a) 2550
b) 2552
c) 2500
d) 2502

Answer 1

The sum of the series 2 + 4 + 6 + 8 + ... + 100 is 2550.

Step-by-step explanation:

The sum of an arithmetic series can be found using the formula:

Sum = (first term + last term) * number of terms / 2

In this case, the first term is 2, the last term is 100, and the number of terms is 50 (since every other term is being considered).

So the sum of the series is (2 + 100) * 50 / 2 = 102 * 25 = 2550.

Therefore, the answer is a) 2550.