Let the first three terms \(2, p\) and \(q\), with \(q\neq 2\), of a G.P. be respectively the \({7}^{\text{th }},{8}^{\t…

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 :

[JEE Main 2024, 4 Apr (Shift 1)]