The first term in a sequence is \(a,\) and each term thereafter is \(k/11\) greater than the term before it. If \(a\) and \(k\) are both positive integers but only one of them is a prime number, what is the sum of the first \(100\) terms in the sequence?

1) \(2a + 11k = 46\)

2) \(3k = 14 - (2/3)*a\)

The OA is D