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