n geometric means between two numbers for JEE

Formula

\(r=\left(\frac{b}{a}\right)^{\!\frac{1}{n+1}}\)

Variables: \(a,b\): given numbers, \(n\): number of geometric means, \(r\): common ratio of resulting GP.

Conditions: When \(a, G_1, G_2,\dots,G_n,b\) are in GP; ratio defined in the real domain.

Insertion of geometric means.