What will come at the place of question mark? 2, 12, 30, 56, 90, ?

2025

What will come at the place of question mark? 2, 12, 30, 56, 90, ?

  1. A.

    132

  2. B.

    140

  3. C.

    142

  4. D.

    150

Attempted by 3 students.

Show answer & explanation

Correct answer: A

1. Method 1 (Differences): Find differences between terms: 10, 18, 26, 34.
2. Find the double difference: 18-10=8; 26-18=8; 34-26=8. The difference increases by 8 each time.
3. Next difference: 34 + 8 = 42.
4. Next term: 90 + 42 = 132.
5. (Alternative Method 2: The pattern is 1x2=2, 3x4=12, 5x6=30, 7x8=56, 9x10=90. The next is 11x12 = 132).

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