Question

Which of the following fits with the recursive rule for the dots above?

Group of answer choices

A) f (x) = f ( x - 1 ) x 4 ; f (1) = 4

B) f (t) = 4t + 1

C) f (x) = f ( x - 1 ) + 4 ; f (1) = 4

D) f (x) = 1 x 4(2)

Answer 1

Answer: A

Explanation:

Answer 2

A

Explanation:

The recursive rule lets us find a term in the sequence from the previous term.

The sequence of dots is

4 , 16, 64

Thus multiplying the previous term by 4 gives the required term, thus

f(x) = f(x - 1) × 4 : f(1) = 4

so

f(2) = f(1) × 4 = 4 × 4 = 16 ← true

f(3) = f(2) × 4 = 16 × 4 = 64 ← true

A is the correct choice