Question

Find f(5) for this sequence:

f(1) = 2 and f(2) = 5, f(n) = f(1) + f(2) + f(n - 1), for n > 2.

f(5) = ______
Medal?

Answer 1

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

F(4) is twice f(2) so I say it is 10

f(5 ) = 2 + 5+ 10
= 17

Answer 2

Thank you.
can you help me with one more?

Answer 3

sure

Answer 4

Generate the first 5 terms of this sequence:

f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.

0, -1, 1, 0, 2

0, 1, 1, 2, 3

0, 1, 2, 2, 3

0, 1, 1, 2, 2

Answer 5

let me go back to the first one f(4) = 25

so f(5) = 2 + 5 + 25 = 32

Answer 6

So its 32?

Answer 7

0 1 1 2 3

Answer 8

f(1 ) = 0 given
f(2) = 1 given
f(3) = f(2) + f(1) = 1 + 0 = 1 where n = 3, just substitute n and solve
f(4) = f(3) + f(2) = 1 + 1 = 2 , where n = 4
f(5) = f(4) + f(3) = 2 + 1 = 3 , where n = 5

Answer 9

thank you

Answer 10

you are welcome