2024 IGCSE Additional Mathematics May/June 0606/22 Q11

2024 IGCSE Additional Mathematics May/June 0606/22 Q11

8 marks

In the binomial expansion of \(\left(2+\dfrac x2\right)^n\), the first three terms in increasing powers of \(x\) are \(b+abx+\dfrac98abx^2\). Find the values of the constants \(n\), \(a\) and \(b\).[8]

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Answer:\(n=10,\quad a=\dfrac52,\quad b=1024\).

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