Question

Generate the first 5 terms of this sequence: (1 point)
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

please help

Answer 2

n = next term(term that u have to find )
so replace n by 3
4
and then 5 \[\huge\rm f(\color{red}{n})=f(\color{red}{n}-1)+(\color{red}{n}-2)\]

Answer 3

to find 3rd term replace n by 3 :)

Answer 4

now what do i do?

Answer 5

yep now solve parentheses

Answer 6

how do i do that?

Answer 7

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

Answer 8

(3-1)= 2
(3-2)= 1

Answer 9

what do i do with this though

Answer 10

that's right so we can write

\[\huge\rm f(\color{red}{3})=f(\color{red}{2})+f(\color{red}{1})\]
right
so f(2) = ?? what in the question
f(1) = ??

Answer 11

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

Answer 12

yep right so you can replace f(2) by 3
and f(1) by 2
and then add

Answer 13

did you understand ?

Answer 14

what do you mean by add?

Answer 15

add f(2) + f(1)

Answer 16

sorry im clueless. would the answer be f(3) then???

Answer 17

f(2) = 3
and f(1) = 2
so f(3) = 3 +2 :-)

Answer 18

f(2) = 3
so you can replace f(2) by 3
right ?