arithmetic progressions

Mathematics
Tutor: None Selected Time limit: 1 Day

If the sum of the reciprocals of a set diverges, is it true that the set must have arbitrarily long arithmetic progresions?

Apr 21st, 2015

Yes. This is true,

the sequences must have a long arithmetic progression since the set diverges

Apr 21st, 2015


Can you prove with rigours? I cannot believe on faith.

Apr 21st, 2015

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Apr 21st, 2015
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Apr 21st, 2015
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