Multiple choice

A number series is given with one term missing. Choose the missing term from the given alternatives. 9, 49, 121, ?, 361

  1. 289

  2. 200

  3. 169

  4. 225

  5. None of these
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D Correct answer
Explanation

The series is 3^2, 7^2, 11^2, ?, 19^2. The bases are 3, 7, 11, 15, 19 (increasing by 4). So the missing term is 15^2 = 225.

AI explanation

Each term in the series is a perfect square of consecutive odd numbers. The given terms are the squares of 3, 7, and 11, which are 9, 49, and 121. The next odd number in this sequence is 15, and its square is 225, which correctly precedes the square of 19 (361). The result is 225.

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