golden ratio converges quickly! https://en.wikipedia.org/wiki/Golden_ratio https://www.youtube.com/watch?v=dTWKKvlZB08

gr.rb

def show(x, y)
  puts "#{y} #{y.to_f / x.to_f}"
end

a, b = ARGV.map(&:to_i)
c = a + b
puts a
show a, b
show b, c
50.times do
  a = b
  b = c
  c = a + b
  show b, c
end