5
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This is my third batch of sequence puzzles that are nasty and hard to solve; yet, each of them has a clear and justifiable solution.

Sequence 1:
2, 4, 4, 3, ?, ?, 3, 4, 2, 4, 3, 4, 2, 2, 3, 4, 4, 3, ?, ?, ...

Sequence 2:
?, ?, ?, J, J, ?, A, M, ?, J, J, Z, M, F, J, A, A, U, R, J, C, G, B, G, W, T, W, W, W, ...

Sequence 3:
??, ??, Ca, Cl, Ne, Ga, ??, ??, ??, Ti, ??, Ne, ??, ??, ??, Au, Lu, ...

Sequence 4:
0.06, 0.82, 1.00, 0.11, ??, ??, 14.6, 17.2

Sequence 5:
A, E, A, P, A, ?, U, ?, E, ?, ?, ...

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  • $\begingroup$ Since sequence 5 has been solved last, I count it as the most difficult one of the five sequences and I assign the "correct answer" sign to it. $\endgroup$ – Alexis Feb 10 '15 at 9:29
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Sequence 5 is:

A, E, A, P, A, U, U, U, E, C, O, E

Why?

Second letter of the month:
January
February
March
April
May
June
July
August
September
October
November
December

Note:

Well done to OP for not listing twelve items as that would have taken 5 seconds :D

I'm not going to mention the other sequences as they are already answered by others:

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8
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Sequence 2:

First initials of US Presidents, in order of when they were in office. George Washington, John Adams, Thomas Jefferson, James Madison, James Monroe, John Quincy Adams, Andrew Jackson, Martin Van Buren, William Henry Harrison, etc.

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I could google sequence 4:

Sequence 4:

"The Evolving Universe and the Origin of Life: The Search for Our Cosmic Roots"
Mass of the planets in our solar system measured relative to Earth
I have googled0.06 0.82 1.00 0.11 317.9 95.2 14.6 17.2

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6
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Sequence 1 is a list of:

Morse code dots+dashes for letters A through T (missing numbers are in bold):
2, 4, 4, 3, 1, 4, 3, 4, 2, 4, 3, 4, 2, 2, 3, 4, 4, 3, 3, 1, . .

Sequence 3 is a list of:

Roman emperors (missing names in bold):
Augustus, Tiberius, Caligula, Claudius, Nero, Galba, Otho, Vitellius, Vespasian, Titus, Domitian, Nerva, Trajan, Hadrian, Antoninus Pius, Marcus Aurelius, Lucius Verus, . . .

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