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0606 P12 - Nov 2018 - Q5 - 6 marks
8495

The 7th term in the expansion of \((a+bx)^{12}\) in ascending powers of \(x\) is \(924x^6\). It is given that \(a\) and \(b\) are positive constants.

(i) Show that \(b=\dfrac1a\).

The 6th term in the expansion of \((a+bx)^{12}\) in ascending powers of \(x\) is \(198x^5\).

(ii) Find the value of \(a\) and of \(b\).

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