5.8 Problems involving Recurrence Relations

And finally, we look at the sorts of questions which will turn up in an assessment.

Example 5.8a
Each evening, the school caretaker and his team manage to pick up 60% of the litter in the playground, but the next day the little recalcitrants deposit another 3 tonnes of litter. On Monday after school there are 10 tonnes of litter in the playground.

(a) How much litter is there on
  (i) Wednesday afternoon immediately after school
  (ii)

Friday afternoon immediately after school?

 

(b) How much litter is likely to be in the playground long term (before and after clean-up)?