Use 'Patterns in Pascal's triangle' as a starter - give each individual/pair one of the diagrams and ask them to describe the pattern of shading and to say what links the shaded cells. Then expand (1-x)^-2 as a class and simplify first six terms. Pupils then independently investigate the expansion for three different values of x.
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Used the worksheet - good introduction to the Binomial expansion and the values of x for which it is valid. However the last value of x = 0.9 doesn't start to converge until higher powers than those on the sheet are used.
Interesting activity - worksheet a nice intro to binomial series, and Pascal triangle activity could generate good discussion.
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