Sequences And Series

Let the first three terms 2, p and q, with \(q \neq 2\), of a G.P. be respectively the \(7^{\text {th }}, 8^{\text {th }}\) and \(13^{\text {th }}\) terms of an A.P. If the \(5^{\text {th }}\) term of the G.P. is the \(n^{\text {th }}\) term of the A.P., then $n$ is equal to: