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Roulette pattern

Puzzling Asked on December 31, 2020

Mary was playing bingo when she noticed a logical sequence in the numbers of the balls as they came out. The numbers of the balls, in the order they came out, are shown below.

55, 52, 51, 48, 47

If the ball numbers were actually following a pattern, what would the next ball number be?

A) 46
B) 44
C) 39
D) 43

My problem is that I have no context for this puzzle. So I believe that the context is relevant to determine what the next ball number will be. Considering that they are taken cyclically, the next number would be… 44?

One Answer

It seems like the most likely answer to this question is

Because

With a recursive relationship, you may be able to convince yourself that the answer is

Reasoning

Or perhaps with a little more maths (and the help of the OEIS) you may convince yourself that the answer is

Because

Correct answer by hexomino on December 31, 2020

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