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If the coefficient of `x^((n^(2)+n-18)/2)` in `(x-1)(x^(2)-2)(x^(3)-3)(x^(4)-4)….(x^(n)-n)`, where `(nge8)` is `k`, then `k` is equal to ___________ |
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Answer» Highest power of `x=(n(n+1))/2=m` (let) have to find coefficient of `x^(m-9)` `=9+(-8xx-1)+(-7xx-2)+(-6xx-3)+(-5xx-4)+(-6xx-2xx-1)+(-5xx-3xx-1)+(-4xx-3xx-2)=0` |
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