Question

Please Help



Find f(5) for this sequence:

f(1) = 2 and f(2) = 3, f(n) = f(1) + f(2) + f(n - 1), for n > 2.

f(5)______

Answer 1

Altho' there may be more sophisticated ways of solving this problem, I'd just write out the first five terms of this sequence:

f(1)=2
f(2)=3
f(3)=f(1)+f(2) + f(3-1) = 2 + 3 + 3 = 8
f(4)=f(1)+f(2) + f(4-1)=?

and so on.

Answer 2

Thank you so much for help @mathmale!

Answer 3

is it 18? I found 18