This is an investigation into how the Fibonacci sequence gives rise to the Golden Ratio. The supporting spreadsheet allows the initial values of the sequence to be changed and an interactive graph shows that the ratio of successive terms always tends to a limit that is the Golden Ratio.
A definition of the sequence is given in terms of n. This is then used to calculate the Golden ratio. The mathematics involved includes fractions, indices and surds.
Show health and safety information
Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.