if f(2)=2/3 f(x)=(3f(x-1)+1)/3 find f(99)

[edonag]

if f(2)=2/3 f(x)=(3f(x-1)+1)/3 find f(99)

 

[Deleted member 4993]

[h=2]if f(2)=2/3 f(x)=(3f(x-1)+1)/3 find f(99)[/h]
okay so the answer is 33
i have tried to solve it with the gauss formula but it wont work!
f(2)=2/3
f(3)=3/3
f(4)=4/3
...
f(99)= ???

You don't see a pattern??!!

f(2)=2/3
f(3)=3/3
f(4)=4/3

f(n) = n/3

f(99) = 99/3 = ???