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Coefficient of x^98 in (x-1)(x-2)(x-3).........(x-100) answer with clear explanation |
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Answer» 174225 Step-by-step explanation:The coefficient of x^98 in (x-1)(x-2)(x-3)(x-4)..................(x-100) will be 1*2+2*3+3*4+4*5+.................+ n(n+1) sum[n(n+1)] where n=1 to n=100 sum(n^2+n) = sum n^2 +sum n = n(n+1)(2n+1)/6 + n(n+1)/2 now PUT n=100 then u will GET 174225 so the final answer will be 174225 |
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