GFact | Finding nth Fibonacci Number using Golden Ratio
We have discussed different methods to find nth Fibonacci Number
Following is another mathematically correct way to find the same.
nth Fibonacci Number :
Here φ is golden ratio
with value as
The above formula seems to be good for finding nth Fibonacci Number in O(Logn) time as integer power of a number can be calculated in O(Logn) time
. But this solution doesn’t work practically because φ is stored as a floating point number and when we calculate powers of φ, important bits may be lost in the process and we may get incorrect answer.
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