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As Easy As ... (Posted on 2006-03-08) Difficulty: 3 of 5
What are the next three numbers in this sequence:
7-9-7-12-15-78-9-56-19-34

See The Solution Submitted by Vernon Lewis    
Rating: 4.0000 (2 votes)

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Solution Solution | Comment 6 of 11 |

31, 52, 94

"As easy as pi(e)" and "As easy as 1 2 3"

   Pi = 3.   1   4   1   5   9   2   6   5    3   5    8    9    7    9...
    e = 2.   7   1   8   2   8   1   8   2    8   4    5    9    0    4...

    n = 1    2   3   4   5   6   7   8   9  10  11  12  13  14   15...   

multiplying each digit of pi by the corresponding digit of e yields the sequence:

          6    7   4   8  10  72  2  48 10  24  20  40  81  0  36...

adding the corresponding counting number, n, to this sequence yields Vernon's sequence:

         7   9   7   12  15  78  9  56  19  34  31 52  94  14 51...

      


  Posted by Mindrod on 2006-03-11 15:05:20
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