Arithmetic sequences (等差数列）are:
1, 2, 3, ...
2, 4, 6, ...
.....
m, 2m, 3m,....
.....
the sume of the first ten terms 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). 55 is the greated number that can devide all the sums.
1, 2, 3, ...
2, 4, 6, ...
.....
m, 2m, 3m,....
.....
the sume of the first ten terms 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). 55 is the greated number that can devide all the sums.
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