30, 34, 43, 59, 84, 120, __

2025

30, 34, 43, 59, 84, 120, __

  1. A.

    169

  2. B.

    148

  3. C.

    153

  4. D.

    176

Attempted by 375 students.

Show answer & explanation

Correct answer: A

Key pattern: the differences between consecutive terms are consecutive perfect squares.

  1. 34 - 30 = 4 = 2^2

  2. 43 - 34 = 9 = 3^2

  3. 59 - 43 = 16 = 4^2

  4. 84 - 59 = 25 = 5^2

  5. 120 - 84 = 36 = 6^2

  6. Next difference should be 7^2 = 49, so x - 120 = 49

Therefore x = 120 + 49 = 169. The correct answer is 169.

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