Explanation

This is an arithmetic sequence with first term a = 2, last term l = 100, and common difference d = 2.

Step 1: Find the number of terms (n)

The nth term of an arithmetic sequence is given by: l = a + (n - 1)d

100 = 2 + (n - 1)2

100 = 2 + 2n - 2

100 = 2n

n = 50

Step 2: Calculate the sum of the sequence

Sum = n/2 * (a + l)

= 50/2 * (2 + 100)

= 25 * 102

= 2550