Sum Of The Series  

If a, b, c, … are in G.P., and a^1/x = b^1/y = c^1/z = …, then x, y, z, … are in

Let a, b, c > 0 and a, b, c be in A.P. If a², b², c² are in G.P., then

If the sum to n terms of an A.P. is 3n² +5n, while T_m = 164, then value ofm is

If G₁ and G­₂ are two geometric means and A is the arithmetic mean inserted between two positive numbers a and b then the value of 

Suppose for each n ∈ N.

then a_n equals

Let A₁, A₂ be two arithmetic means, G_1, G₂ be two geometric means, andH₁, H₂ be two harmonic means between two positive numbers a and b. The value of