MaritC520184 MaritC520184

25-10-2022
Mathematics

contestada

f(1)=-12 and f(n)=2f(n-1) then find the value of f(6).

Respuesta :

MakaleF506693 MakaleF506693

25-10-2022

Notice that from the definition of f(n):

[tex]f(6)=2f(5)=2(2f(4))=2(2(2f(3)))=2(2(2(2f(2))))=2(2(2(2(2f(1)))))\text{.}[/tex]

Therefore:

[tex]f(6)=2^5f(1)=2^5(-12)=32(-12)=-384.[/tex]

Answer:

[tex]f(6)=-384.[/tex]

Answer Link

Otras preguntas

As a command economy develops, which of the following outcomes is most likely?

what countries represent the largest global business opportunities for the next decade? what factors determine the size of the opportunity?

How was the principle of the Roosevelt Corollary different from that of the Monroe Doctrine?

What was the long-term legacy of the Congress of Vienna?

Which word in the sentence is an adverb? A drop of pond water under a microscope usually reveals many tiny creatures in it.

Would a nonindustrialized or an industrialized nation more likely be an empire builder? Why?

3^1/2 × a^2/3 × b^3/4 write as a single radical

In which sentence is the word fighting used as a gerund? A) The crew members are fighting the fore B) A fighting spirit permeated the fire station. C) Fighting

The quadrilateral with these following vertices is a parallelogram. (-4, -3), (2, -3), (4, -6), (-4, -6) True or False?

The first government dealt with the Native American problem by __________________. a. getting an army together and running them off b. not letting any more sett