Question

Suppose the first term of a geometric sequence is 3 and the fourth term is 192. What is the common ratio of the sequence? Write an equation that can be used to find the nth term of the sequence. What is the sixth term of the sequence?

Answer 1

An=A1 r ^(n-1)
192= 3 r ^(4-1)
192 = 3 r^3
64 = r^3
r = 4

equation:
An=3 (4)^(n-1)

6th term:
An= 3 (4)^(6-1)
An= 3072

I think this is right :)