Question

Generate the first 5 terms of this sequence:
Please help!! t-t
f(1) = 2 and f(2) = 3, f(n) = f(n - 1) + f(n - 2), for n > 2.

Answer 1

2, 3, 5, 7, 9

2, 3, 4, 7, 11

2, 3, 5, 9, 11

2, 3, 5, 8, 13

Answer 2

if n =3, then f(n) is f(3) right?
n-1 =? and f(n-1) = f(?)
n-2 =? and f(n-2) =f(?)

Answer 3

n - 1 = 2? so f(n-1) = f(2)?

Answer 4

I don't understand what this means could you elaborate?

Answer 5

@OOOPS

Answer 6

answer each of them
n =3, n-1=??

Answer 7

if n = 3 then it would be 2
but what do I need to do after this to get the other unknown terms

Answer 8

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

Answer 9

yup, 3-1=2, right?
and 3-2 =1, right?
so it becomes f(3) = f(2) +f(1) , you have f(1) , f(2) already, just plug in

Answer 10

got what I meant??

Answer 11

f(3-1) =f(2) right??

Answer 12

yeah

Answer 13

so, f(3)=??

Answer 14

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

Answer 15

and given f(2) = 3 and f(1)=2
so, just plug the values in
\[f(3) = f(3-1)+f(3-2)\\f(3) = f~~(2) ~~~~+~f(1)\\f(3) = ~~~~~3~~~~~~+~~~2 ~~=~~5\]

Got what I meant??

Answer 16

Yeah I think I understand
f(3) = 5