- Adina is saving money to buy a new computer. She saves \(\pounds 5\) in week \(1 , \pounds 5.25\) in week 2 , \(\pounds 5.50\) in week 3 and so on until she has enough money, in total, to buy the computer.
She decides to model her savings using either an arithmetic series or a geometric series.
Using the information given,
- state with a reason whether an arithmetic series or a geometric series should be used,
- write down an expression, in terms of \(n\), for the amount, in pounds ( \(\pounds\) ), saved in week \(n\).
Given that the computer Adina wants to buy costs \(\pounds 350\)
- find the number of weeks it will take for Adina to save enough money to buy the computer.
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