Question

Time remaining 01:56:51 Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-thirds, ellipsis. Which formula can be used to describe the sequence?

a. f(x1)=−2f(x)
b. f(x1)=− 1/2 f(x)
c. f(x1 )= 1/2 f(x)
d. f(x1 )=2f(x)

Answer 1

The formula that can be used to describe the sequence is f(x1) = -2f(x).

Step-by-step explanation:

The formula that can be used to describe the given sequence is f(x1) = -2f(x) (option a).

The sequence starts with -2 and two-thirds, and each subsequent term is obtained by multiplying the previous term by -2. For example, -2 and two-thirds multiplied by -2 gives negative 5 and one-third, and so on.

Therefore, option a, f(x1) = -2f(x), accurately represents the pattern in the given sequence.