perplexus.info :: Just Math : Harmonic Sequence Settlement

Harmonic Sequence Settlement (Posted on 2014-05-22)

Determine the total number of ways in which 363 can be written as a sum of three distinct positive integers which are in harmonic sequence.

Prove that there are no others.

No Solution Yet Submitted by K Sengupta

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solution with no explanation

| Comment 1 of 3

the 4 triples are
(13,25,325)
(55,88,220)
(66,99,198)
(108,120,135)

If you remove the word 'distinct' there is also
(121,121,121)

Posted by Jer on 2014-05-22 16:25:10

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