Write an algorithm to return the fibonacci number. Show the trace of you algorithm for fib(6)....
Write an algorithm to return the fibonacci number. Show the trace of you algorithm for fib(6).
- when n <= 2 fib(n) = 1
- when n > 2 fib(n) = fib(n-1) + fib(n-2)
Homework Answers
algorithm:
step1: set f1=1
setp2: set f2=1
step3: for i=1 to n-2
set temp=f1+f2
set f1=f2
set f2=temp
step4:display f2 for nth fibonacci number
fib(6)::::
---->f1=1,f2=1
(1)---> temp=1+1=2
f1=1,f2=2
(2)-->temp=1+2=3 f1=2 f2=3
(3)-->temp=3+2=5 f1=3 f2=5
(4)--->temp=5+3=8 f1=5 f2=8
display f2 means "8"
fibonacii series
1 1 2 3 5 8 13 21 34 ----------
index;1 2 3 4 5 6 7 8
therefore 6th fibonacii is 8
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