Which formula can be used to describe the sequence?

-2/3, - 4, - 24, - 144,

A) f (x) = 6 (-2/3) ^x-1

B) f (x) = - 6 (2/3) ^x-1

C) f (x) = 2/3 (6) ^x-1

D) f (x) = 2/3 (-6) ^x-1

D

Step-by-step explanation:

just did on edge

Remark

The closest answer is D, but the answer has to be rewritten: f (x) = - 2/3 (6) ^ (x - 1) where x is 1,2,3,4,5,6 ... to plus infinity. If that is not what you are given, there is no answer.

Discussion

The minus sign is misplaced. There are 2 reasons.

1. When x is odd, then the minus sign is not there and every other term will be plus.

2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be - 2/3. (-6) ^0 power is 1 not - 1

Answer: There is no answer, but you could try C if D does not work.