答：题目应该缺少了大量的括号吧?1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+...+1/(1+2+3+...+100)第n项的分母是自然数之和(n+1)*n/2所以：1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+...+1/(1+2+3+...+100)=1+2/(2*3)+2/(3*4)+2/(4*5...