SOLUTION: if f(1)=5 and f(n)=-2f(n-1)+2 then what is the value of f(3)

Algebra ->  Equations -> SOLUTION: if f(1)=5 and f(n)=-2f(n-1)+2 then what is the value of f(3)      Log On


   



Question 1198246: if f(1)=5 and f(n)=-2f(n-1)+2 then what is the value of f(3)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if f%281%29=5 and f%28n%29=-2f%28n-1%29%2B2 then what is the value of f%283%29


f%283%29=-2f%283-1%29%2B2
f%283%29=-2f%282%29%2B2
find f%282%29
f%282%29=-2f%282-1%29%2B2
f%282%29=-2f%281%29%2B2
f%282%29=-2%285%29%2B2
f%282%29=-8
then
f%283%29=-2%28-8%29%2B2
f%283%29=18