Question

 

Let x be the arithmetic mean and y, z be the two geometric means between any two positive numbers.

Solution

Correct option is

2

 

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., 

We have

          

SIMILAR QUESTIONS

Q1
Q2

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

Q3

If Gand 2 are two geometric means and A is the arithmetic mean inserted between two positive numbers and b then the value of 

Q4

Suppose for each n ∈ N.

then aequals

Q5

 

Let A1, A2 be two arithmetic means, G1, G2 be two geometric means, andH1H2 be two harmonic means between two positive numbers a and b. The value of

                                              

Q6

Sum of the series

 

Q10