Question

What is the 5th term of the sequence f(1)=2f(n)=−3f(n−1)​

A. 54
B. -162
C. 162
D. -54

Answer 1

We can use the recursive formula to find each term in the sequence.

From the given formula, we start with:

f(1) = 2

Next, we use the formula to find f(2):

f(2) = -3f(1) = -32 = -6

Using the formula again, we find f(3):

f(3) = -3f(2) = -3(-6) = 18

Now, we find f(4):

f(4) = -3f(3) = -318 = -54

Finally, we can find f(5):

f(5) = -3f(4) = -3(-54) = 162

Therefore, the 5th term in the sequence is 162, or answer (C).