koalarules6
koalarules6 koalarules6
  • 22-12-2016
  • Mathematics
contestada

If f(1)=10 and f(n)=āˆ’3f(nāˆ’1) then find the value of f(6).

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 22-12-2016
basically, recursive thingummy

f(1)=10
f(2)=-3f(2-1)=-3f(1)=-3(10)=-30
f(3)=-3f(3-1)=-3f(2)=-3(-30)=90
f(4)=-3f(4-1)=-3f(3)=-3(90)=-270
f(5)=-3f(5-1)=-3f(4)=-3(-270)=810
f(6)=-3f(6-1)=-3f(5)=-3(810)=-2430

we can actually define this as
[tex]a_n=10(-3)^{n-1}[/tex]
so 6th term is
[tex]a_6=10(-3)^{6-1}=10(-3)^{5}=10(-243)=-2430[/tex]
6th term is -2430
Answer Link

Otras preguntas

what is 3/8 as a decimal an show work
what is two thirds times 70%
What was an effect of the Black Plague on families?
Th he action and reaction forces in any situation will always be what
Which of the following men was NOT a famous economist? A. John Maynard Keynes B. Sigmund Freud C. Adam Smith D. Karl Marx
Which is correct pronoun Each of the airplanes had begun (its, their ) descent from the sky. The mayor did (their, his) best to solve the traffic problem.
Two main types of nonfiction prose are exposition and description. True False
What is 20/100 equivalent fraction
Why did many Americans object to the Alien and Sedition Acts? A. The acts violated a basic civil right that was guaranteed by the First Amendment to the U.S.
explain how to find the input given a function rule and output