Continue the Sequences

  1. 2, 5, 9, 16, 49, 1089
    (square the difference between the last two numbers)
  2. 11, 17, 23, 31, 41, 47
    (alternate prime numbers)
  3. 1, 4, 13, 40, 121, 364, 1093
    (add successive powers of 3)
  4. 1, 11, 21, 1211, 111221, 312211
    (‘look and say’ sequence: 1211 -> one 1, one 2, two 1s -> 111221)
  5. 2, 4, 6, 30, 32, 34, 36, 40
    (numbers that don’t contain the letter ‘e’)