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Repeated addition (Posted on 2004-02-20) Difficulty: 4 of 5
+
+=
++=
+=
++++=
+===+=
++++++=
+=
++=
+=+===+=+=
++++++++++=
+===+=

Explain the pattern and find the next five rows.

Hint: the symbols I chose have nothing to do with the pattern.

  Submitted by Tristan    
Rating: 4.3333 (3 votes)
Solution: (Hide)
++++++++++++=
+=+=+===+=+=+=
++=+==++==+=++=
+=
++++++++++++++++=

In this sequence, each row is the shortest repeating segment in a patterned grid that could continue infinitely.

If you gave each place in the grid a coordinate (xth row, yth column), then the symbol would be "=" if x:y can be reduced to a smaller ratio of integers. Otherwise, it is a "+".

There are actually many ways of explaining this same pattern. You may find other ways of explaining it in the comments.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionYes!Math Man2011-01-19 18:13:36
Some Thoughtseasier solutionDanny2004-05-16 17:25:32
Solutionno algorithmDanny2004-05-16 17:13:20
re: SolutionThalamus2004-02-24 13:01:53
re: SolutionTristan2004-02-23 18:55:12
SolutionSolutionBrian Smith2004-02-23 13:06:27
Hints/TipsencouragementTristan2004-02-22 15:00:49
Hints/Tipsre(2): Some thoughts HOW TO DELETEAdy TZIDON2004-02-21 02:08:44
SolutionSOLUTION??? MAY BEAdy TZIDON2004-02-21 02:05:27
The algotithm again...es_rever2004-02-20 22:23:58
SolutionNo Subjectes_rever2004-02-20 22:16:32
re: Some thoughtsPenny2004-02-20 17:05:12
re: Some thoughtsBrian Wainscott2004-02-20 15:11:27
Some thoughtsBrian Smith2004-02-20 14:31:35
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