Insertion of Geometric Mean

Let A₁, G₂, G₃, G₄……G_n be N geometric Means between two given numbers A and B . Then A, G₁, G₂ ….. G_n, B will be in Geometric Progression .

So B = (N+2)^th term of the Geometric progression.

Then Here R is the common ratio
B = A*R^N+1
R^N+1 = B/A
R = (B/A)^1/(N+1)

Now we have the value of R
And also we have the value of the first term A
G₁ = AR¹ = A * (B/A)^1/(N+1)
G₂ = AR² = A * (B/A)^2/(N+1)
G₃ = AR³ = A * (B/A)^3/(N+1)