# Historical Sequence

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.

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.

• Correct, accepted! – PotatoLatte Jul 8 '18 at 2:27
• 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. – Bass Jul 8 '18 at 8:46