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 only formula that can be used to describe the sequence is definitely the third one $f(x + 1) = -3/4 f(x)$. So count like that$64* -\frac{3}{4} = -48 48* -\frac{3}{4} = 36$ and so on. You can check others by yourself to check if I'm right or not.

Answer 2

The formula that can be used to describe the sequence is; f(x + 1) = -3/4 f(x).

Which formula can be used to describe the sequence?

According to the task content; it follows that the formula which describes the sequence is required.

By observation; the common ratio of successive terms in the sequence is; -48/64 = 36/-48 = -3/4.

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