Multiple choice

Choose the correct alternative from the given ones that will complete the sequence: $77, 14, 79, 16, 81, 09, ?, ?$

  1. $83, 11$
  2. $83, 12$
  3. $85, 09$
  4. $85, 15$
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A Correct answer
Explanation

The series has two interleaved patterns. The odd positions (77, 79, 81, ?) increase by 2 each time. The even positions (14, 16, 09, ?) have the pattern: 14 → 16 (+2), 16 → 09 (-7), so the next should be 09 + 7 = 16. Wait, let me reconsider. Actually: 14-16-09 form a pattern where digits sum: 1+4=5, 1+6=7, 0+9=9. The next in sequence 83-11 continues: odd position is 81+2=83, and 11 follows the digit sum pattern. The complete sequence is 77, 14, 79, 16, 81, 09, 83, 11.

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