Question

How to calculate the coefficient of x^99)?

Answer 1

Answer:

Hey guys

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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