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Mathematics 15 Online
OpenStudy (anonymous):

Provide an example of an arithmetic series which totals zero.

OpenStudy (kc_kennylau):

first term=0, common difference=0

OpenStudy (kc_kennylau):

Or this: -8, -6, -4, -2, 0, 2, 4, 6, 8

OpenStudy (kc_kennylau):

Or this: -7, -5, -3, -1, 1, 3, 5, 7

OpenStudy (kc_kennylau):

Or simply, 0

OpenStudy (kc_kennylau):

so many examples, why don't you think one yourself

OpenStudy (anonymous):

Arithmetic series has the summation as : \[S_n = \frac{ n }{ 2 } (a_1 + a_n)\], in which n is number of terms, so n > 0. If Sn = 0 --> \[a_n = -a_1\]. Therefore you have many choice of series. like @kc_kennylau mentioned above

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