The first three terms in the expansion of $(1+ax)^n$ are $1-3x+\frac{33}{8}x^2$, where \(a\

Question

The first three terms in the expansion of $(1+ax)^n$ are $1-3x+\frac{33}{8}x^2$, where $a$ and $n$ are constants. Find the value of $a$ and of $n$.[5]

Accepted Answer

$a=-\frac14,\quad n=12$

2025 NASS PRELIMS P1 Q4

2025 NASS PRELIMS P1 Q4

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