Binomial Theorem

Binomial Theorem

6 marks

The fifth term in teh expansion of the binomial \( (a + b)^n\) is given by \( \binom{10}{4} p^6 (2q)^4\).

  1. Write down the value of \(n\).[1]
  2. Write down \(a\) and \(b\), in terms of \(p\) and/or \(q\).[2]
  3. Write down an expression for the sixth term in the expansion.[3]

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Answer:(a) \(n=10\) (b) \(a=p\), \(b=2q\) (c) \(8064p^5q^5\)

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