Product of first n terms of GP for JEE

Formula

\(a\cdot ar\cdot ar^2\cdots ar^{n-1}=a^n r^{\frac{n(n-1)}{2}}\)

Variables: \(a\): first term, \(r\): common ratio, \(n\): number of terms.

Conditions: For a geometric progression.

Product-type GP problems.