Question

describe the relationship between the terms in the geometric sequence 4,16,64,256,...​

Answer 1

Solution:

The geometric progression can be determined by their common ratio.

The common ratio,

r = T2/T1 = 16/4 = 4

r = T3/T2 = 64/16 = 4

r = T4/T3 = 256/64 = 4

Or each term is found by multiplying the previous term by a constant.

T1 = 4 * 4
T2 = 16 * 4
T3 = 64 * 4
T4 = 256 * 4
T5 = ....

Hope this will be helpful to you