Write an expression for the penalty charge on the nth day of non completion

If a contract has a penalty charge for delay of completion beyond a certain date as follows:

£200 for the first day, £250 for the second day, £300 for the third day etc. (i.e. an arithmetic series)

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  1. Write an expression for the penalty charge on the nth day of non completion
  2. Write an expression for the total penalty charge after n days of non completion.
  3. If the project is late by 30days what is the total penalty charge?

If instead the penalty charges follow a geometric progression where the charges on the 10th and 11th days were £300 and £360 respectively.

  • Write an expression for the penalty charge on the nth day
  • What would be the total penalty charge after 30 days of non completion?

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