read the problem again, it is 55 that devides all the sums

Arithmetic sequence (等差数列）are:
1, 2, 3, ...
2, 4, 6, ...
.....
m, 2m, 3m,....
.....

the sume of the first term is

m + 2m + .... + 10m = 55m, where m is any integer

so all the sums are devisible by 55 and its factors (1,5,10,11, 55) and 55 is the greated numbers that can devide all the sums.

所有跟帖： 

• 写得什么呀，自己都看不懂了 -布衣之才- ♂ (339 bytes) () 12/06/2008 postreply 18:34:13

• 回复：read the problem again, it is 55 that devides all the sums -爱苹果- ♀ (48 bytes) () 12/06/2008 postreply 18:34:18

• 等差数列 又叫 算术数列；等比数列 又叫 几何数列 -布衣之才- ♂ (66 bytes) () 12/06/2008 postreply 18:40:04

• 回复：read the problem again, it is 55 that devides all the sums -爱苹果- ♀ (138 bytes) () 12/06/2008 postreply 19:02:17

• 你比我严格 -布衣之才- ♂ (196 bytes) () 12/06/2008 postreply 19:21:44

• 又错了，脑袋糊涂了 -布衣之才- ♂ (66 bytes) () 12/06/2008 postreply 19:25:39