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Cyclic number sequences follow cyclic patterns and revert to their initial values.

Example 1

Arithmetic progression sequence with a a common difference of four hours.

{11:30, 15:30, 19:30, 23:30, 03:30, 07:30, 11:30, ?}

Answer: 15:30

Explanation: Add four hours to each preceeding term.

Example 2

{2468, 8246, 6824, 4682, 2468, 8246, 6824, 4682, ?, ?, ?, ?}

Answer: 2468, 8246, 6824, 4682

Explanation: The last digit in each number goes to the front. The cycle repeats after the fourth number.

1. {5, 66, 777, 8888, ?, 000000, 99999, 8888, 777, 66, ?}

Answer: 99999 and 5.

Explanation: The cycle goes from five to zero and then back to five. The digits for each number increase by one up until zero and afterwards decrease.

2. {9:40, 10:00, 10:20, 10:40, 11:00, 11:20, ?, 00:00, 00:20, 00:40, 1:00, ?}

Answer: 11:40 and 1:20

Explanation: Add 20 minutes to each term.

3. {616, 661, 166, 616, 661, 166, 616, 661, 166, ?}

Answer: 616

Explanation: This cycle consists of three numbers: 616, 661, 166

4. {313, 133, 331, 313, 133, 331, 313, 133, 331, ?}

Answer: 313

Explanation: This cycle consists of three numbers: 313, 133, 331.

5. {5, 7, 9, 1, 3, 5, ?}

Answer: 7

Explanation: Odd number cycle.