Let the first three terms 2, p and q, with q ≠ 2, of a G.P. be respectively the 7^th, 8^th and 13^th terms of an A.P. If the 5^th term of the G.P. is…

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