Question

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

2, 3, 5, 7, 9
2, 3, 4, 7, 11
2, 3, 5, 9, 11
2, 3, 5, 8, 13

Answer 1

f(3)=f(2)+f(1)=2+3=5

f(4)=f(3)+f(2)=5+3=8

f(5)=f(4)+f(3)=8+5=13

can you go on ?

Answer 2

i dont even know how you got that

Answer 3

it is easier to say : every number in this sequence = sum of two term before

Answer 4

oh ok. thank you

Answer 5

so the last one?

Answer 6

let's do it again :
put n=3 in relation

f(3)=f(3-1)+f(3-2) --->f(3)=f(2)+f(1)
now put f(2) ,f(1)

Answer 7

oh ok. makes more sense now

Answer 8

now , can you tell me the next number is ?