Find five numbers in `G.P.` such that their product is `32` and the product of fourth and fifth number is `108.`

Find five numbers in G.P. such that their product is 32 and the product of fourth and the products of fourth and fifth numbers is 108.

Find three numbers in G.P. such that their sum is 42 and their product is 1728.

Find three numbers in G.P such that their product is 216 and the sum of first and third number is 20.

Find three numbers in G.P such that their sum is 28 and their product is 512.

Find three numbers in a G.P. such that their sum is 31 and their product is 125.

Find three numbers in G.P. Such that their sum is 35 and their product is 1000.

Find five numbers in a G.P. such that their product is 1, and the sum of the middle three is 13/3.