What is the sum of the first 12 numbers of the series: 2 , 6, 10, 14, …. ?

(A) 260
(B) 268
(C) 280
(D) 288

Answer: (D) 288

Solution:
This is an arithmetic sequence with common difference of 4. The first element is 2, and total elements are 12. So, a1 = 1, d = 3 and n = 12. So, by using the formula of nth term of an arithmetic sequence, first we will find the 12th term.

Now, by using the formula for the sum of n elements of an arithmetic sequence, we have