Why do this problem?
is specially designed for the highest-attaining pupils that you ever come across. So it is seen as an opportunity for pupils to generate a large set of numbers, explore the many patterns and relationships that may be found and to make some generalisations.
As it is for the most able simply presenting the pupil with the activity as written may work well. Some learners may like to use materials to help to produce the sets of steps required.
If you and/or the pupil(s) are not used to working on investigations in this way, it may be helpful to read these articles
and possibly discuss them with the Maths Subject Leader in your school.
Tell me about the things you have found.
What ideas have you had to explore further?
These would have come come from the pupil(s), relating to things that have occurred during their investigation.
Use of a spreadsheet may be appropriate.