Question

64, –48, 36, –27, ... Which formula can be used to describe the sequence? f(x + 1) = 3/4 f(x) f(x + 1) = -3/4 f(x) f(x) = 3/4 f(x + 1) f(x) = -3/4 f(x + 1)

Answer 1

The correct formula to describe the given sequence is f(x + 1) = -¾ f(x). The pattern in the sequence is that each term is obtained by multiplying the previous term by -¾. Therefore, the formula f(x + 1) = -¾ f(x) accurately describes the given sequence.

Step-by-step explanation:

The correct formula to describe the given sequence is f(x + 1) = -¾ f(x).

The pattern in the sequence is that each term is obtained by multiplying the previous term by -¾. For example, the second term -48 is obtained by multiplying the first term 64 by -¾. Similarly, the third term 36 is obtained by multiplying the second term -48 by -¾, and so on.

Therefore, the formula f(x + 1) = -¾ f(x) accurately describes the given sequence.