If A is the arithmetic mean and `G_(1), G_(2)` be two geometric mean between any two numbers, then prove that `2A = (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))`

If A is the arithmatic mean and G_(1) and G_(2) be two geometric means between any two numbers then prove that, (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))=2A

If m is the AM of two distinct real numbers l and n (l,ngt1) and G_(1),G_(2)" and "G_(3) are three geometric means between l and n, then G_(1)^(4)+2G_(2)^(4)+G_(3)^(4) equals

If A be one A.M and p, q be two G.M.'s between two numbers then 2A is equal to…..

A_1 and A_2 are arithmetic mean between a and b also G_1 and G_2 are geometric mean then (G_(1).G_(2))/(A_(1)+A_2) = ............ .

If A, G and H are the arithmetic mean, geometric mean and harmonic mean between unequal positive integers. Then, the equation Ax^2 -|G|x- H=0 has

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are A pm sqrt((A+G )(A−G )) .

Discuss the rate of the reaction 2N_(2)O_(5(g)) rarr 4NO_(2(g))+O_(2(g))

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Product of geometric means is 3^(35) and sum of arithmetic means is 14025. The value of n is

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Product of geometric means is 3^(35) and sum of arithmetic means is 14025. The value of m is