Which formula can be used to describe the sequence? - 2/3, - 4, - 24, - 144, ... f (x) = 6 (negative two-thirds) Superscript x minus 1 f (x) = - 6 (Two-thirds) Superscript x minus 1 f (x) = Negative two-thirds (6) x - 1 f (x) = Two-thirds (-6) x - 1

The third option f (x) = - 2/3 (6) ^ (x - 1)

Step-by-step explanation:

-2/3 (6) ^ (x - 1)

When x = 1 the term = - 2/3 * 6^ (1-1) = - 2/3 * 6^0 = - 2/3

x = 2 the term = - 2/3 * (6) 1 = - 12/3 = - 4.

x = 3 the term = - 2/3 (6) ^2 = - 72/3 = - 24

x = 4 the term = - 2/3 * (6) ^3 = - 2*216 / 3 = - 144.