Respuesta :
Answer:
(D) f(x+1)=2f(x)
Step-by-step explanation:
The sequence is:
[tex]-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}[/tex]
Now,
[tex]-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2[/tex]
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)