| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2016 |
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| Session | October |
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| Topic | Binomial Theorem (positive integer n) |
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| Type | Ratio of coefficients condition |
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5. (a) Find the first 4 terms, in ascending powers of \(x\), of the binomial expansion of
$$\left( 3 - \frac { a x } { 2 } \right) ^ { 5 }$$
where \(a\) is a positive constant. Give each term in its simplest form.
Given that, in the expansion, the coefficient of \(x\) is equal to the coefficient of \(x ^ { 3 }\),
(b) find the exact value of \(a\) in its simplest form.