简便算法<1998/(1*2)>+<1998/(2*3)>+<1998/(3*4)>+<1998/(4*5)>+<1998/(5*6)>
參考答案:标准答案 谢谢采纳
解:
1998/(1×2)+1998/(2×3)+1998/(3×4)+1998/(4×5)+1998/(5×6)
=1998{1/(1×2)+1/(2×3)+1/(3×4)+1/(4×5)+1/(5×6)}
=1998(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6)
=1998×5/6
=1665