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+
+=
++=
+=
++++=
+===+=
++++++=
+=
++=
+=+===+=+=
++++++++++=
+===+=

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.

 Subject Author Date Yes! Math Man 2011-01-19 18:13:36 easier solution Danny 2004-05-16 17:25:32 no algorithm Danny 2004-05-16 17:13:20 re: Solution Thalamus 2004-02-24 13:01:53 re: Solution Tristan 2004-02-23 18:55:12 Solution Brian Smith 2004-02-23 13:06:27 encouragement Tristan 2004-02-22 15:00:49 re(2): Some thoughts HOW TO DELETE Ady TZIDON 2004-02-21 02:08:44 SOLUTION??? MAY BE Ady TZIDON 2004-02-21 02:05:27 The algotithm again... es_rever 2004-02-20 22:23:58 No Subject es_rever 2004-02-20 22:16:32 re: Some thoughts Penny 2004-02-20 17:05:12 re: Some thoughts Brian Wainscott 2004-02-20 15:11:27 Some thoughts Brian Smith 2004-02-20 14:31:35

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