Let A,G,H be the arithmetic, geometric and harmonic means of two positive no. a and b then `AgeGgeH`

If A_(1),A_(2),A_(3);G_(1),G_(2),G_(3); and H_(1),H_(2),H_(3) are the three arithmetic,geometric and harmonic means between two positive numbers a and b(a>b), then which of the following is (are) true?

Let A;G;H be the arithmetic; geometric and harmonic means between three given no.a;b;c then the equation having a;b;c as its root is x^(3)-3Ax^(2)+3(G^(3))/(H)x-G^(3)=0

If A_(1) , A_(2) , A_(3) , G_(1) , G_(2) , G_(3) , and H_(1) , H_(2) , H_(3) are the three arithmetic, geometric and harmonic means between two positive numbers a and b(a gt b) , then which of the following is/are true ?

If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?

If the arithmetic geometric and harmonic menas between two positive real numbers be A, G and H, then

Let A_(1),G_(1),H_(1) denote the arithmetic, geometric and harmonic means respectively,of two distinct positive numbers.For n>2, let A_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_(n),G_(N),H_(N), respectively.

Let n in N,n>25. Let A,G,H deonote te arithmetic mean,geometric man,and harmonic mean of 25 and n. The least value of n for which A,G,H in{25,26,...n} is a.49 b.81 c.l69d.225