Difference between revisions of "1988 OIM Problems/Problem 6"
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Prove that in one of those sets, the sum of the inverse of its elements is maximum. | Prove that in one of those sets, the sum of the inverse of its elements is maximum. | ||
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| + | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
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| + | == See also == | ||
| + | https://www.oma.org.ar/enunciados/ibe3.htm | ||
Latest revision as of 12:29, 13 December 2023
Problem
Consider the sets of 
natural numbers different than zero out of which there are not three elements in arithmetic progression.
Prove that in one of those sets, the sum of the inverse of its elements is maximum.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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