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

Describe what happened as the ice melted. Where do you think the energy goes when it is not raising the temperature?
jeff uses 3 fifth - size strip to modek 3/5. he wants to use tenth-size strip to model an equivalent fraction. how many tenth-size strip will he need?
which of the following is a physical change? -Burning -Rusting -Freezing -Oxidation
write an equation that shows an estimate of each answer, 495+ 812
What leads to the development of the theory?
if you add 5 to me and then divide by 9, you get 3. what number am I?
From his home, glenn travels 3 miles east, 4 miles north, 6 miles east, and then 8 miles north before finally reaching his destination. Assuming his entire trip
the school chorus has 52 students, which represents 26% of the seventh graders. How many students are in the seventh grade
A factory packages 4250 boxes of cereal. The number of oat cereal boxes is 715 more than the number of wheat cereal boxes. The number of fruit cereal boxes is 5
Is 0.47 equivalent to 0.5