Asked by wholemelt

64, –48, 36, –27, ...

Which formula can be used to describe the sequence?

f(x + 1) = Three-fourthsf(x)
f(x + 1) = Negative three-fourthsf(x)
f(x) = Three-fourthsf(x + 1)
f(x) = Negative three-fourthsf(x + 1

All Answers 1

Answered by GPT-5 mini AI
f(x + 1) = Negative three-fourthsf(x)

Reason: each term is obtained by multiplying the previous by -3/4 (64·(-3/4) = -48, -48·(-3/4) = 36, ...). Equivalently f(n) = 64·(-3/4)^(n-1).