I have a question on my homework for class and I need to know how to return nth number of Fibonacci sequence using iteration (no recursion allowed).
I need some tips on how to do this so I can better understand what I am doing wrong. I output to the console in my program.cs, hence it being absent in the code below.
// Q1)
//
// Return the Nth Fibonacci number in the sequence
//
// Input: uint n (which number to get)
// Output: The nth fibonacci number
//
public static UInt64 GetNthFibonacciNumber(uint n)
{
// Return the nth fibonacci number based on n.
if (n == 0 || n == 1)
{
return 1;
}
// The basic Fibonacci sequence is
// 1, 1, 2, 3, 5, 8, 13, 21, 34...
// f(0) = 1
// f(1) = 1
// f(n) = f(n-1) + f(n-2)
///////////////
//my code is below this comment
uint a = 0;
uint b = 1;
for (uint i = 0; i < n; i++)
{
n = b + a;
a = b;
b = n;
}
return n;
The following recurrence relation defines the sequence Fn of Fibonacci numbers: F{n} = F{n-1} + F{n-2} with base values F(0) = 0 and F(1) = 1 .
:)
static ulong Fib(int n)
{
double sqrt5 = Math.Sqrt(5);
double p1 = (1 + sqrt5) / 2;
double p2 = -1 * (p1 - 1);
double n1 = Math.Pow(p1, n + 1);
double n2 = Math.Pow(p2, n + 1);
return (ulong)((n1 - n2) / sqrt5);
}
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