Let x be the arithmetic mean and y, z be the two geometric means between any two positive numbers.
Let two positive numbers be a and b. Then x = (a + b)/2.
Also, a, y, z, b are in G.P. If r is the common ratio of this G.P.,
If the sum to n terms of an A.P. is 3n2 +5n, while Tm = 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 an equals
Let A1, A2 be two arithmetic means, G1, G2 be two geometric means, andH1, H2 be two harmonic means between two positive numbers a and b. The value of
Sum of the series