Question

x分之2+x(x-2)分之2+(x-2)(x-4)分之2+…+(x-98)(x-100)分之2

Answer 1

x分之2+x(x-2)分之2+(x-2)(x-4)分之2+…+(x-98)(x-100)分之2

=2/x+1/x-1/(x-2)+1/(x-2)-1/(x-4)+…+1/(x-98)-1/(x-100)

=2/x-1/(x-100)

=(x-200)/[x(x-100)]