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

If f(1)=10 and f(n)=−3f(n−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

Which type of research reference do you use when rephrasing the original text without condensing it? (5 points) Citation Summary Paraphrase Direct quote
Fill in the blank with the correct form of gustar. Nos _____ mirar la tele. gusta gustan
Which function is the inverse of f(x) = –5x – 4? The answer is C. f(X)=-1/5x-4/5 Hope this helps !!
How do deficiency of nutrients affect the growth of the plant
The coordinates of points A and L are -4 and 12, respectively. What is the coordinate of the midpoint between them? A. 4 B. 8 C. 6 D. 2
Thoreau's most famous work is:
What is the value of X?
The intersection of the prism and the plane is a _______ cross section. Trapezoid Rectangle Square
7. If Elizabeth can make 3 pies or bake 6 cakes per hour and Benjamin can make 2 pies or bake 8 cakes per hour, _____. Benjamin should specialize in making p
Could someone please help me with this answer thank you!