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Test whether a student knows the ratio test of a series, and how to use it. Series include those that the ratio test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

Couting application where repitition is allowed and order does not matter.

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This question tests to see if students can recognise an alternating series and based on the alternating series test and the divergence test determine if it is convergent or divergent.

At the moment there is no example included with $b_n\rightarrow 0$ which isn't eventually monotonically convergent. 

This question tests to see if students can recognise a geometric series and based on its common ratio determine if it is convergent or divergent.

This question tests to see if students can recognise a geometric series and based on its common ratio determine if it is convergent or divergent.

This question tests to see if students can recognise a $p$-series and based on its $p$-value determine if it is convergent or divergent.

Test whether a student knows the divergence test of a series, and how to use it. Series include those that the diverence test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

Questions about writing simple ratios from raw amounts.