perplexus.info :: Just Math : Add 1, Get Geometric

Add 1, Get Geometric (Posted on 2013-11-23)

Prove that there exist infinitely many triplets (x,y,z) of distinct positive integers such that: x, y and z are in arithmetic sequence and x, y and z + 1 are in geometric sequence.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The series is d², d*( d+1), and ( d+1)²
For an explanation, refer to the solution submitted by Ady TZIDON in this location.

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	Subject	Author	Date
	SOLUTION	Ady TZIDON	2013-11-23 11:57:28

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