Question

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? f(x + 1) = –2f(x) f(x + 1) = Negative one-halff(x) f(x + 1) = One-halff(x) f(x + 1) = 2f(x)

Answer 1

Answer:

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

Step-by-step explanation:

The sequence is:

$-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}$

Now,

$-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2$

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.

Therefore for term f(x), the next term f(x+1) is:

f(x+1)=2f(x)

Answer 2

Answer: its D my friend

Step-by-step explanation: