Consider the binomial expansion of where is a positive integer.

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Consider the binomial expansion of (a+b)n(a+b)^n where nn is a positive integer. (i) State the expression for the general term of the expansion, clearly identifying the index used. (ii) Using your answer from part (i), write an expression (in terms of nn) for the 5th term in the expansion of (x−3)n(x-3)^n.

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