Six Sequences to Continue

Continue these sequences. Explain how each one works.

a.  0 1 3 6 7 9 12 13 ___ ___ ___
b.  1 2 3 4 9 8 27 16 ___ ___ ___
c.  0 4 8 4 8 12 6 10 ___ ___ ___
d.  1 2 3 3 6 9 9 ___ ___ ___ ___
e.  1 1 2 3 5 8 13 21 ___ ___ ___
f.  0 1 1 2 4 7 13 24 ___ ___ ___


Show/Hide Solution

Here are some possible solutions. You may well find others that work.

a.  0 1 3 6 7 9 12 13 15 18 19  
  Successive differences are 1,2,3 repeated.
b.  1 2 3 4 9 8 27 16 81 32 243  
  Terms are successive powers of 2 and 3.
c.  0 4 8 4 8 12 6 10 14 8 12  
  Starting with 4, successive even numbers are added to 0,4,8.
d.  1 2 3 3 6 9 9 18 27 27 54  
  The terms 1,2,3 are multipled by successive powers of 3.
e.  1 1 2 3 5 8 13 21 34 55 89  
  Regular ol’ Fibonacci sequence.
f.  0 1 1 2 4 7 13 24 44 81 149  
  Starting with the fourth term, each term is the sum of the preceding three terms. Super-Fibonacci, anyone?

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