简算题:（1/8+1/24+1/48+1/80+1/120+1/168+1/224+1/288）×128

数学题解答：把括号中每个加数，提取1/4，

得到：(1/2+1/6+1/12+1/20+……+1/72)×1/4×128

括号里面的你会算吗？1/2=1 – 1/2，1/6=1/2 – 1/3，1/12= 1/3 – /1/4，……

原式＝(1/2+1/6+1/12+1/20+……+1/72) × 1/4 × 128

＝(1 – 1/2 + 1/2 – 1/3 +1/3 – ……- 1/8 + 1/8- 1/9) × 1/4 × 128

＝8/9 × 32

＝256/9

推荐阅读：
The PUSHD/POPD Implementation in Pure Windows Batch　 Three ways to Reverse a List/Array/Tuple in Python　 How to Compute the Interval List Intersections using Two Pointer　 How to Summary Ranges using O(N) Two Pointer Algorithm?　 Microbit Programming: How to Make a Catching-Apple Game by Using　 The enumerate method in Magik Programming　 Add Two Numbers by Two Linked List (most significant digit comes　 The enumerate function in Javascript　 How to Check If Word Is Valid After Substitutions using Stack or　 5 Best Instagram Marketing Strategies for Blogs