students perhaps ought to experience an iterative sequence (or more)
with a calculator and using the 'ans' key to take forward an answer
they put in any number (a 'seed' value)
and then apply a rule repeatedly - with the outcome becoming the new input etc.
until they have a good reason to stop
what happens for these four iterative rules?
does it matter what the seed value is?
another sequence has the same result
what (constant) value needs to be added?
why do these all have the same result?