Summation of series – Further Pure Maths 1

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 (Use of partial fractions to express a general term in a suitable form may be required.)
  • 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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