The seventh term of a G.P. is 8 times the fourth term and 5th term is 48. Find the G.P.
Tn = arn-1
In the GP, the 7th term is 8 times the 4th term. So
ar6 = 8ar3, or
r3 = 8 or r = 2.
ar4 = 48,
a.16 = 48
a = 3
The first term is 3 and r = 2
∴ GP = 3, 6, 12, …