Fix my Odometer...

Number patterns are shown below:

715213 7 1 5 2 1 3

929333 9 2 9 3 3 3

133453 1 3 3 4 5 3

\ldots

The pattern changes every second. After how many seconds will the pattern back to the first pattern?

11 9 10 12 8

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1 solution

Shandy Rianto
Feb 20, 2015

The first pattern: 715213 7 1 5 2 1 3

  1. After 1 second: 929333 9 2 9 3 3 3

  2. After 2 seconds: 133453 1 3 3 4 5 3

  3. After 3 seconds: 347573 3 4 7 5 7 3

  4. 551693 5 5 1 6 9 3

  5. 765713 7 6 5 7 1 3

  6. 979833 9 7 9 8 3 3

  7. 183953 1 8 3 9 5 3

  8. 397073 3 9 7 0 7 3

  9. 501193 5 0 1 1 9 3

  10. After 10 seconds:

    715213 \boxed{7 1 5 2 1 3}

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