Geometric Sequences and Series


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In this lesson, learners will be able to:
  • Understand and work with geometric sequences and series including the formulae for the nth term and the sum of a finite geometric series; the sum to infinity of a convergent geometric series, including the use of |r | < 1; modulus notation
  • Work with sequences including those given by a formula for the nth term and those generated by a simple relation of the form xn+1 = f(xn); increasing sequences; decreasing sequences; periodic sequences
  • Understand and use sigma notation for sums of series
  • Use sequences and series in modelling


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