Exploring Mathematics Universe

Exploring Mathematics Universe - ExploringMathematics...

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    1 Exploring Mathematics  Universe The Main Explorer: Dr. Josip Derado  Kennesaw State University
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2 The High-School Mathematics  Universe Open any of the doors in the hall and…
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3 And You will find yet another  Mathematics Universe
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4  Leibnitz sequences 1      4      9      16      25      36      49      64     3      5      7        9       11      13      15         2      2       2       2         2       2  1      8       27      64       125       216      343     7      19      37       61         91       127        12      18      24        30         36                     6  6                  6          6          
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5 Moessner’s Magic 1  2  3  4  5  6  7  8  9  10  11  12  13  14 Circle  every  2n   number Form the  cumulative  totals 1     4      9     16     25      36        49 From 2n to n !  
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6 Moessner’s Magic Circle  every  3n   number Form the  cumulative  totals Repeat  the  process 1  2  3  4  5  6  7  8  9  10  11  12  13  14 1  3      7 12   19 27     37  48        61  75 1         8        27          64            125 From 3n to n !  
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7 Moessner’s Magic Circle  every  4n   number Form the  cumulative  totals Repeat  the  process 1  2  3  4  5  6  7  8  9  10  11  12  13  14 1  3  6    11 17 24   33  43  54       67  81        1  4        15 32       65 108           175    256        1            16           81                   256       From 4n to n !  
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8 Moessner’s Magic 1  2  3  4  5  6  7  8  9  10  11  12  13  14  15 Circle  every  triangle  number Form the  cumulative  totals Repeat  the  process  by circling 
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This note was uploaded on 11/11/2011 for the course MATH 110 taught by Professor Staff during the Winter '08 term at BYU.

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Exploring Mathematics Universe - ExploringMathematics...

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