If the geometric mean between two positive numbers x and y is 2, then find the product of 10 geometric means between x and y.

Insert 4 geometric means between 6 and 192.

The geometric mean between -9 and -16 is

Insert 10 arithmetic means between 2 and 57.

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of p is

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of q is

If the harmonic mean between two positive numbers is to their geometric mean as 12: 13. then the numbers are in the ratio

If G is the geometric mean between two distinct positive numbers a and b, then show that 1/(G-a)+1/(G-b)=1/G .

If the arithmetic means of two positive number a and b (a gt b ) is twice their geometric mean, then find the ratio a: b

Find two positive numbers x and y such that their sum is 35 and the product x^2y^5 is a maximum.