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These are the statements describing what students need to learn:

- understand and use the binomial expansion of (a + bx)
^{n}for positive integer n; the notations n! and^{n}C_{r}link to binomial probabilities. Extend to any rational n, including its use for approximation - work with sequences including those given by a formula for the n
^{th}term and those generated by a simple relation of the form x_{n+1}= f(x_{n}); increasing sequences; decreasing sequences; periodic sequences - understand and use sigma notation for sums of series
- understand and work with arithmetic sequences and series, including the formulae for n
^{th}term and the sum to n terms - understand and work with geometric sequences and series, including the formulae for the n
^{th}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 - use sequences and series in modelling

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