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:

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

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 10^th and 11^th 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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