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The-sixth-term-of-an-AP-is-2-and-its-common-difference-is-greater-than-one-The-value-of-the-common-difference-of-the-progression-so-that-the-product-of-the-first-fourth-and-fifth-terms-is-greatest-




Question Number 16451 by myaoo last updated on 22/Jun/17
The sixth term of an AP is 2, and its  common difference is greater than one.  The value of the common difference of  the progression so that the product of the  first, fourth and fifth terms is greatest is
$$\mathrm{The}\:\mathrm{sixth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{is}\:\mathrm{2},\:\mathrm{and}\:\mathrm{its} \\ $$$$\mathrm{common}\:\mathrm{difference}\:\mathrm{is}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{one}. \\ $$$$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{progression}\:\mathrm{so}\:\mathrm{that}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{first},\:\mathrm{fourth}\:\mathrm{and}\:\mathrm{fifth}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{greatest}\:\mathrm{is} \\ $$

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