Question

HELP PLEASE? WILL MEDAL! (:

Generate the first five terms of this sequence:

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

A) 1, 2, 3, 4, 5
B) 1, 2, 3, 5, 7
C) 1, 2, 3, 5, 8
D) 1, 3, 5, 7, 9

Answer 1

f(3)=f(2)+f(1)=2+1=3
you can find other terms like this.

Answer 2

Okay so,
f(1) = f(2) and f(n-1) + f(n-2)?

Answer 3

I don't even know if i'm making any sense rn, but i'm gonna try to understand haha!

Answer 4

n= term that you hve to find
so to find 3rd term you should replace n with 3

Answer 5

\[\huge\rm f(\color{Red}{n}-1) = f(\color{ReD}{3}-1)\]
solve the parentheses 3-1 =2 that's how he got f(2)

Answer 6

\[\huge\rm f(\color{Red}{3}) = f(\color{ReD}{3}-1)+f(\color{Red}{3}-2)\]
solve the parentheses 3-1 =2 that's how he got f(2)
3-1 is one so
f(3) = f(2)+f(1)
now replace f(2) and f(1) with their values

Answer 7

given f(1)= 1
f(2) = 2
so substitute f(1) for 1 f(2) for 2

Answer 8

So where do those 1, and 2 go? I don't see f(2) or f(1) in the equation that you put above which is the f(3) = f(3-1) + f(3-2)

Answer 9

@Nnesha

Answer 10

yes replace f(1) and f(2)
given is : f(1) = 1 f(2) =2 so plug them in \[\huge\rm f(\color{Red}{3}) = f(\color{ReD}{3}-1)+f(\color{Red}{3}-2)\]
f(1) = 1 f(2) =2 so plug them in \[\huge\rm f(\color{Red}{3}) = \color{ReD}1+\color{Red}{2}\]
1+2 = 3
so f(3) = 3
now replace n with 4 to find 4th term