Candidates should be able to:
- use the standard results for \(\sum r\), \(\sum r^2\), \(\sum r^3\) to find related sums;
- use the method of differences to obtain the sum of a finite series, e.g. by expressing the general term in partial fractions;
- recognise, by direct consideration of a sum to n terms, when a series is convergent, and find the sum to infinity in such cases.
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