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

You connect three 0.5 volt lights in series. Each light has a resistance of 25ohms. Answer the following.
Which two substances bind using a lock-and-key mechanism?
when analyzing a story what is the best characteristic to examine
How do the speakers references to the "soul" and "ideal grace" in lines 3 and 4 of sonnet 43 by elizabeth barrett browning affect the way readers view the love
4 1 __ / ( - __ ) 5 15
which type(s) of people did not belong to any of the three estate in medieval English society
I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out
What three tactics did colonists use to protest British taxes?
The reconstruction amendments were passed to:
Why do you think Christian persecution rose as the Pax Romana crumbled?