Question

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 1

@Alchemista @jim_thompson5910 last one its just really hard

Answer 2

@lizz123

Answer 3

f(1) = 0 <---- -- 1st term is 0
f(2) = 1 <------ 2nd term is 1

f(n) = f(n - 1) + f(n - 2)
^
nth term, any term that is, is
whatever 1 term before was \(f_{n-1}\)
plus whatever 2 terms before it was \(f_{n-2}\)

Answer 4

0, -1, 1, 0, 2
0, 1, 1, 2, 3
0, 1, 2, 2, 3
0, 1, 1, 2, 2
soooo its D?

Answer 5

well... what did you get for the 3rd term?

Answer 6

\(\large {
\begin{array}{llll}
term&value
\\\hline\\
1&f(1)\implies 0\\
2&f(2)\implies 1
\\ \quad \\ \quad \\
{\color{brown}{ n}}&f({\color{brown}{ n}})\implies f_{{\color{brown}{ n}}-1}+f_{{\color{brown}{ n}}-2}&{\color{brown}{ n}}>2
\\ \quad \\ \quad \\

3&f(3)\implies f_2+f_1\implies 1+0\implies 1\\
4&f(4)\implies f_3+f_2\implies ?\\
5&f(5)\implies f_4+f_3\implies ?
\end{array}
}\)

Answer 7

wait wait I'm so confused ;( @jdoe0001

Answer 8

@texaschic101 help please

Answer 9

@jim_thompson5910