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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.

See The Solution Submitted by Tristan    
Rating: 4.3333 (3 votes)

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Some Thoughts easier solution | Comment 13 of 14 |
(In reply to no algorithm by GOM)

think of fractions. pick a number for the denominator. let's say 10. for all the numbers from 1 to 10 that can be the numerator a + will represent fractions that cannot be reduced and ='s for fractions that can. for ex.

1/10   2/10   3/10   4/10   5/10   6/10   7/10   8/10   9/10  10/10

no+   1/5=   no+   2/5=   1/2=   3/5=   no+   4/5=    no+    1 = 

that explains 1. because 1/1 cannot be reduced so it gets a =. And it explains why for primes they're all +'s except for the last one. for ex. for 17 only 17/17 can be reduced.


  Posted by Danny on 2004-05-16 17:25:32
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