If the $5$-th term of the G.P is its middle term and its value is 2,then find the product of all terms of this GP?
Since $a_5$ is the middle term, so the GP contains 9 terms.
$$P_9 = a\cdot ar\cdot ar^2 \cdot ar^3 \cdot 2\cdot ar^5 \cdots ar^8$$
which leaves us $P_9 = 2\cdot (ar^4)^8$ ... I am not getting how to proceed further? Is this approach even correct?