Question

If the continued product of three numbers in G.P. is 27 and the sum of their products in
pairs is 39 the numbers are
(a) 1, 3, 9
(b) 9,3,1
(c) both
(d) None​

Answer 1

Answer:

this mite help u

Step-by-step explanation:

    First step :-

                 in GP there are the following terms in GP  

     a/r , a , ar

     here the a/r is first term and r is common ratio

    second step :-

                  product is 27 , means a/r×a×ar = 27

     hence a^{3} = 27        ,          a=3

     by going heat and trial method

     by choose 1st option

     taking pair

           (1,3) = 1×3 = 3

           (3,9) = 3×9 = 27

           (1,9) = 1×9 = 9

    add all the result

                           we get

         3+27+9 =27        second condition come true .

                hence we get the common ratio is 3

             

hence term are 1 , 3 , 9 .

Answer 2

Answer:

Step-by-step explanation: