Find the sum of the first 100 terms of the arithmetic sequence with the first term 2 and the common difference 5.

Answer: 24950

Step-by-step explanation:

We use the formula

sn=n2 (2a + (n-1) d)

To find the sum of the first n terms of an arithmetic series with common difference d (5) and first term a (2).

Sn=100/2 (2*2 + (100-1) 5)

Solving for a we obtain:

Sn=50 (4+495)

Sn=50 (499) = 24950