Question

How do I find the 6th term of the geometric sequence for which `t_3 = 444` and `t_7 = 7104`?

Answer 1

`t_6=3552`

First you have to calculate `r`. To do so you can use the formula

`t_7=t_3*r^4`, so `r= root(4)((t_7)/(t_4))=2`. Now you can calculate `t_6=t_7/r=7104/2=3552`