Multiple choice

Directions: Find the missing term in the following number series. 56, 54, 58, 50, 66, ?, 98

  1. 34

  2. 45

  3. 76

  4. 85

  5. None of these
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A Correct answer
Explanation

This series alternates between two patterns: subtracting 2, then adding 4, then subtracting 8, then adding 16. Following 56, 54 (-2), 58 (+4), 50 (-8), 66 (+16), the next step is 66 - 32 = 34.

AI explanation

The series follows an alternating difference pattern. The differences between consecutive terms are -2, +4, -8, +16, which are powers of 2 with alternating signs. Continuing this pattern, the next difference is -32, so we subtract 32 from 66 to get 34. To verify, adding 64 to 34 gives 98, confirming the result.

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