Question

Free medal and Fan

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

first step is to find f(3)

if f(n) = f(1) + f(2) + f(n-1)
what is f(3)?

Answer 2

5

Answer 3

not quite, please try again

f(3) = f(1)+f(2)+f(2)

Answer 4

4

Answer 5

one more time...

f(1) = 2
f(2) = 3

f(3) = f(1) + f(2) + f(2) = ?

Answer 6

@Vocaloid Im sorry i really dont know

Answer 7

fill in the blank

Answer 8

8 @Vocaloid

Answer 9

right, f(3) = 8
now we need to find f(4)

f(1) = 2
f(2) = 3
f(3) = 8

f(4) = f(1) + f(2) + f(3) = __?

Answer 10

13

Answer 11

great! we're almost done

f(1) = 2
f(2) = 3
f(4) = 13

f(5) = f(1) + f(2) + f(4) = ?

Answer 12

18

Answer 13

great, we're done

Answer 14

Thanks for the help @Vocaloid