Question

5th term of G.P = x 8th term of G.P = y 11th term of G.P = z prove that y square = xz

Answer 1

Answer:

nth term of a geometric sequence is given as: an = arn-1

we are given that:

a5 = x an

= x..(1) ar 4

as y ar8-1 ar = y.(2) =

a1l = z ar 11-1 ar 10 = = z...(3) art x ar 10 a'r4 = (ar") az = xZ aT

let us now multiply equations (1) and (3) we find:

= y? (:: year")

hence proved:

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