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What number comes next in this sequence:

7 · 8 · 5 · 5 · 3 · 4 · 4 · ?

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What number comes next in this sequence:

15 · 20 · 20 · 6 · 6 · 19 · 19 · 5 · 14 · ?

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You can imagine an arrow in flight, toward a target. For the arrow to reach the target, the arrow must first travel half of the overall distance from the starting point to the target. Next, the arrow must travel half of the remaining distance.

For example, if the starting distance was 10m, the arrow first travels 5m, then 2.5m.

If you extend this concept further, you can imagine the resulting distances getting smaller and smaller. Will the arrow ever reach the target?

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The legendary BrainBashers calendar has had a small problem.

Here is a listing showing the number of days in each month:
January    73
February   83
March      51
April      52
May        31
June       42
July       41
August     63
September  ?

Using the same rules, how many days are in September?

Puzzle Copyright © Kevin Stone

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