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BEBRAS 2023 Grade 7-8 Round 2 Ext Question 8

BEBRAS · BEBRAS 2023 Grade 7-8 Round 2 Ext

Question 8

Alex makes strings from striped and plain beads. Start with a striped bead followed by a plain bead.

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At each step choose either (i) add one plain bead to each end, or (ii) append two striped beads to the right end. These steps may be repeated.

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How many of the following four strings can Alex create?

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  1. 1
  2. 2
  3. 3
  4. 4