Match the sequence (term) with the correct type of sequence (definition). match term definition 128, 32, 8, 2, … a. geometric, common ratio is 3 1, 3, 9, 27, … b. arithmetic, common difference is 5 5, 10, 15, 20, … c. geometric, common ratio is 0.25 20, 17, 14, 11, … d. arithmetic, common difference is −3

Note that we can get 32 from 128 by mult. 32 by (32/128), or (1/4).  Mult. 32 by (1/4) produces the 3rd term, 8, as expected.  Thus, the common ratio, r, is 1/4.

Illustrations:

128(1/4) = 32
32(1/4) = 8
8(1/4) =2
2(1/4) = 1/2
and so on.

This is a geometric series with first term 128 and common ratio 1/4.

None of the 4 possible answers you've shared matches this outcome.  Check to ensure that you've copied them down accurately.  But most importantly, decide whther or not you agree that the common ratio of the given sequence is 1/4 and that the first term is 128.