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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2
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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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. $\endgroup$– BassJul 8 '18 at 8:46