Fibonacci numbers and their ratios

Harold Thimbleby
Swansea University

A table of the first Fibonacci numbers, showing the ratios of consecutive Fibonacci numbers and how the ratios approach φ, the Golden Ratio.

nfib(n)fib(n+1) / fib(n)

The ratio of consecutive Fibonacci numbers gets closer and closer to the Golden Ratio, φ = .

The error on the last ratio is about .