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Geometric, Arithmetic and Harmonic Harness (Posted on 2014-10-19) Difficulty: 3 of 5
Each of A, B, C and D is a positive integer with A < B < C < D
having gcd(A, B, C, D) = 1 such that:

(i) A, B and C are in geometric sequence, and:
(ii) B, C and D are in arithmetic sequence, and:
(iii) A, B and D are in harmonic sequence.

Does there exist an infinite number of quadruplets satisfying the given conditions? Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Analytical solution .. I beg to differ)Steve Herman2014-10-19 12:24:08
Hints/Tipsre: Analytical solution .. I beg to differ)Ady TZIDON2014-10-19 10:56:36
SolutionAnalytical solution (spoiler)Steve Herman2014-10-19 09:36:51
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