Question

coefficient of x^98 in (x-1)(x-2)(x-3).........(x-100)
answer with clear explanation​

Answer 1

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