Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(1) = 4, f(n + 1) = f(n) – 2 for n ≥ 1 C. f(1) = 4, f(n) = 12f(n + 1) for n > 1 D. f(1) = 4, f(n) = –12f(n – 1) for n > 1

D.

Step-by-step explanation:

The given sequence:  

Here, first term:

Second term:

Third term :

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio:

So,  [as in G.P. nth term= ]

Hence, correct option is D.

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24