What is Sierpinski's Favorite Drink?

Probability Level 2

What relationship describes the number of cola cans in each image compared to the number of cola cans in the previous image?

x × 9 x \times 9 x × 3 x \times 3 ( x × 6 ) − 9 2 (x \times 6) - 9^2 x × 4 x \times 4 ( x × 2 ) + 3 3 (x \times 2) + 3^3

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Zandra Vinegar by Zandra Vinegar

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1 solution

Jack Lam
Aug 21, 2015

Each iteration can be dissected into three identical copies of the previous iteration. The solution follows trivially.

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