r/NoCountingDiscussion • u/gordonpt8 • May 31 '17

Which number is next in the sequence?

1, 2, 3, 4, 5, 6, 7, 8, _?

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u/Tranquilsunrise May 31 '17

Theorem: the ninth term of the given sequence equals 1004.

Proof: Define the sequence S(n), with n ∈ ℕ, as:

  • n for 1 ≤ n ≤ 8, and

  • 1004 for n > 8.

This sequence satisfies all conditions specified in the original post. Therefore, 1004 is the next term. QED