Question

Find the common ratio r for the geometric sequence, and use r to find the next 3 terms n 1, 2, 3, 4, 5, 6, 7 f(n) 1,4,16,64

Answer 1

Divide the given terms:

4/1 = 4

16/4 = 4

64/16 = 4

R = 4

The next term is the previous term multiplied by 4.

64 x 4 = 256

256 x 4 = 1024

1024 x 4 = 4096

The next three terms are: 256, 1024, 4096