3
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What is the next number in the sequence?

10, 5, 9, 7, 6, 5, 7, 5, 8, ?

Hint 1:

The numbers do not depend on each other.

Hint 2:

The sequence is finite.

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6
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Next number is

5

because

The $n$th number is the number of letters in the $n$th president's last name. The next president is John Tyler. "Tyler" has five letters.

Title:

The sequence depends on US history.

Hint 1:

The presidents' names are independent of each other.

Hint 2:

There is a finite number of presidents so far.

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  • $\begingroup$ Correct, accepted! $\endgroup$ – PotatoLatte Jul 8 '18 at 2:27
  • 1
    $\begingroup$ Completely irrelevant, but utterly fascinating bit of trivia: It's now 2018, and two people can still call the next number in the series their grandpa. $\endgroup$ – Bass Jul 8 '18 at 8:46

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