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 A_(1),G_(1),H_(1) denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For nge2 , 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. Which of the following statement is correct?

Let A_(1),G_(1),H_(1) denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For nge2 , 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. Which of the following statement is correct?

Let A_(1),G_(1),H_(1) denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For nge2 , 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. Which of the following statement is correct?

Let A_(1),G_(1),H_(1) denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For nge2 , 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. Which of the following statement is correct? a. H_(1)gtH_(2)gtH_(3)gt"......." b. H_(1)ltH_(2)ltH_(3)lt"......." c. H_(1)gtH_(3)gtH_(5)gt"......." " and " H_(2)ltH_(4)ltH_(6)lt"......." d. H_(1)ltH_(3)ltH_(5)lt"......."" and " H_(2)gtH_(4)gtH_(6)gt"......."