# Three different, and somewhat difficult, sequence puzzles

Here are three different letter/number sequences. Try to solve as many as possible. The spoilers give hints to each sequence in the form of how many elements are in the corresponding sequence.

Sequence 1 (Missing Elements: 2) [Solved by xnor]

Y, Y, ?, L, Y, E, ?, T, R...


There are 12 elements in this sequence.

Sequence 2 (Missing Elements: 2) [Solved by Tryth]

a, H, R, 0, c, ?, o, ?, L, 3, B...


There are 44 elements in this sequence.

Sequence 3 (Missing Elements: 3) [Solved by finsternis]

?, P, C, P, C, ?, B, R, B, R, ?, R, S, R, S, R...


There are 29 elements in this sequence.

The first one is quite simple but the other two are fairly challenging. Good luck!

• 2 and 3 are really tough one, spend around 1 hour to analyse country group, country/capital group for puzzle 3, no result so far. Taking time out. – Ashutosh Nigam Mar 25 '15 at 6:08
• Why didn't you ask this as three separate questions? – not my job Mar 25 '15 at 17:15
• @enoughreptocomment now that I see how difficult the last one is, I would consider it but that is something I never thought of doing at first. – GamrCorps Mar 25 '15 at 18:00
• Sequence 3 is currently the sixth most famous 29-element sequence on the internet - well done! – Rand al'Thor Mar 26 '15 at 1:21
• @randal'thor Thanks! I'm honesty surprised that no one has guessed it by now. – GamrCorps Mar 26 '15 at 4:04

Sequence 3:

Order of speakers in Shakespeare's Romeo and Juliet Act I, Scene ii:
Capulet, Paris, Capulet, ...
The full sequence is C, P, C, P, C, S, B, R, B, R, B, R, S, R, S, R, S, R, S, R, S, R, S, R, S, B, R, B, R
and the missing elements are C, S, and B. (S = Peter the servant)

• WOW! How on earth did you manage to solve this? Really impressive. – Rand al'Thor Mar 28 '15 at 10:59
• Bravo! Out of curiosity, did you use my hint? – GamrCorps Mar 28 '15 at 13:53
• Yes, the hint really helped! – finsternis Mar 29 '15 at 3:20

Sequence 2:

This represents the base64 encoded form of the string http://puzzling.stackexchange.com. This corresponds to aHR0cDovL3B1enpsaW5nLnN0YWNrZXhjaGFuZ2UuY29t. Therefore the missing elements are D and v.

• I did not expect anyone to get that so fast. Good job! – GamrCorps Mar 25 '15 at 14:24
• Can you post your method for how you solved this? Did something point you to base64 encodings? – user1717828 Jan 4 '16 at 16:53
• @user1717828 When I see mixed uppercase, lowercase and numbers base64 is usually my first guess. – Tryth Jan 6 '16 at 2:48

Sequence 1:

Last letters of months:
January, February, March, April, May, June, July, August, September, October, November, December
which gives the sequence Y, Y, H, L, Y, E, Y, T, R, R, R, R.
The missing elements are H and Y.

• I was just about to post this, lol. – Joe Z. Mar 25 '15 at 5:22