(1+1/1x3)x(1+1/2x4)x(1+1/3x5)x~x(1+1/97X99)X(1+1/98X100)=?
问题描述：
(1+1/1x3)x(1+1/2x4)x(1+1/3x5)x~x(1+1/97X99)X(1+1/98X100)=?
答
﹙2×2／1﹚×﹙2×3／2﹚.×﹙2×99／98﹚
=99×2∧98算理总结：每个括号内=1＋﹙n＋2﹚／n =2×﹙n＋1﹚／n原式=2∧98×﹙2×3×4.....×99﹚／﹙1×2×3×....×98﹚=99×2∧98