如果填后面的数:1/2 1/6 1/12 1/20 1/30 1/42 1/56 1/72
如果求第n个数:第n个为 1/n(n+1)或1/n-1/(n+1)
如果求和:1/2+ 1/6+ 1/12+ 1/20+ 1/30+1/42
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
应该是1/56吧。
1/2 1/6 1/12 1/20 1/30 1/42
=1/1×2+1/2×3+1/3×4+1/4×5+1/5×6+1/6×7
=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7