The 7th term of a g.p. is 8 times of the 4th term. find the series if its 5th term is 48.

Answer 1

its 5th term is 48 --- ar^4 = 48
The 7th term of a g.p. is 8 times of the 4th term
---> ar^6 = 8ar^3
ar^6 - 8ar^3 = 0
ar^3( r^3 - 8) = 0
ar^3 = 0 ---> not very likely or all terms are 0
r^3 = 8
r = 2

in ar^4 = 48
a(16) = 48
a = 3

state your conclusion