1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/241/(2x)-1/{2(x+2)) + 1/{2(x+2)}-1/{2(x+4)} +……+1/{2(x+8)} - 1/{2(x+10)} = 5/241/(2x)-1/{2(x+10)} = 5/241/x-1/(x+10) = 5/1210/{x(x+10)} = 5/122/{x(x+10)} =...