Question

2,8, 32, 128
Arithmetic, Geometric, or neither?
Explicit: _ Geometric
Recursive:

Answer 1

the sequense between them are times4

Answer 2

Geometric

Explanation:

`(8)/(2) = 4 \\ \\ (32)/(8) = 4 \\ \\ (128)/(32) = 4 \\ \\`

Here, common ratio (r = 4) is same, therefore given sequence is a geometric progression.

Recursive formula is given as:

`t_n= ar^(n-1)\\\\</p><p>\therefore t_n= 2* 4^(n-1)\\\\</p><p>\therefore t_n= 2* 2 ^(2(n-1))\\\\</p><p>\therefore t_n= 2* 2 ^(2n-2)\\\\</p><p>\therefore t_n= 2 ^(2n-2+1)\\\\</p><p>\therefore t_n= 2 ^(2n-1)`