0

This is my seventh (and probably last) batch of sequence puzzles that are nasty and hard to solve; I stress that each of them has a clear and justifiable solution.

Sequence 1:
RC, NU, RT, RS, PI, ??, AN, PT

Sequence 2:
A, ?, D, ?, G, H, J, K, L

Sequence 3:
?, ?, ?, 1, 7, 0, 7, 1, 7, 3, 4, 8, 9, 3, 4, 1, 2, 4, 2, 5, 9, 1, ?, ?, ...

Sequence 4:
O, ?, ?, H, R, A, U, ?, U, E, ?, ?, ?, ...

Alexis
  • 8,302
  • 2
  • 30
  • 83
  • "seventh (and probably last)" - mind if I take over the sequence-puzzle franchise then? ;) – Rand al'Thor Mar 18 '15 at 20:20
  • @Martin - Thanks for all of the sequence puzzles. They seem to have been prepared with great skill to find a good balance between difficulty and solvability. – Len Mar 20 '15 at 04:02
  • @Len - Thanks!! I feel that this is a good point for stopping. The underlying ideas started to repeat. Perhaps I will have some new ideas two or three months from now. – Alexis Mar 22 '15 at 18:22

1 Answers1

13

Sequence 1:

TU

These are the third and fourth letters of each planet in the Solar System.

MERCURY, VENUS, EARTH, MARS, JUPITER, SATURN, URANUS, NEPTUNE
RC, NU, RT, RS, PI, TU, AN, PT

Sequence 2:

S, F

These are the keys on the home row of a standard QWERTY keyboard.

A, S, D, F, G, H, J, K, L

Sequence 3:

6, 0, 7, 7, 6

These are the digits in the decimal expansion of e, shifted down by 1.

e = 2.718281828459045235360287...
digits: 6, 0, 7, 1, 7, 0, 7, 1, 7, 3, 4, 8, 9, 3, 4, 1, 2, 4, 2, 5, 9, 1, 7, 6...

Sequence 4:

U, E, O, H, R, A
These are the second letters of each day of the week, cycled around.

MONDAY, TUESDAY, WEDNESDAY, THURSDAY, FRIDAY, SATURDAY, SUNDAY
O, U, E, H, R, A, U, O, U, E, H, R, A, ...