What is the common difference of the AP so that the product of the first fourth and fifth term is the greatest

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

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

What is the common difference of four terms in an A.P. such that the ratio of the product of the first and fourth terms to that of the second and third is 2:3 and the sum of all four terms is 20 ?

Find the common difference of the A.P whose first term is 12 and fifth term is 0.

Find the common difference of the A.P whose first term is 12 and fifth term is 0.

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :

The sum of the first three terms of an Arithmeic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.

If (a)/(2) is the first term and d is the common difference of an AP, then the sum of n terms of the AP is _______.