[JEE Advanced 1982] The coefficient of $x^{99}$ in $(x-1)(x-2)\cdots(x-100)$ is ____
The coefficient of $x^{99}$ in $(x-1)(x-2)\cdots(x-100)$ is ____
1 Answer
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· 1mo ago
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Answer: $-5050$.
The $x^{99}$ coefficient is $-(1+2+\cdots+100)=-\frac{100\cdot101}2=-5050$.
JEE Advanced 1982 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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