Multiple choice

Directions: Find the missing term in the given series. 113, 122, 138, 163, ?

  1. 179

  2. 212

  3. 199

  4. 172

  5. None of these
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C Correct answer
Explanation

Differences: 122-113=9 (3^2), 138-122=16 (4^2), 163-138=25 (5^2). The next difference should be 6^2 = 36. 163 + 36 = 199.

AI explanation

The differences between consecutive terms are 9, 16, and 25, which are perfect squares of 3, 4, and 5 respectively. The next difference must be the square of 6, which is 36. Adding 36 to 163 gives 199.

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