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Add 1, Get Harmonic (Posted on 2013-01-25) Difficulty: 3 of 5
Determine all possible triplets (x,y,z) of positive integers with x < y < z < 100 such that: x, y and z (in this order) are in arithmetic sequence and x, y and z+1 are in harmonic sequence.

Bonus Question:

Amending the restriction to x < y < z, prove that there are an infinity of positive integer triplets satisfying the given conditions.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtscomputer explorationCharlie2013-01-25 12:34:46
SolutionSuggested general treatmentbroll2013-01-25 10:18:50
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