Find the number which can replace the Question Mark 6, 30, 260, 3130, ?

2024

Find the number which can replace the Question Mark

6, 30, 260, 3130, ?

  1. A.

    44362

  2. B.

    48456

  3. C.

    46662

  4. D.

    44716

Attempted by 9 students.

Show answer & explanation

Correct answer: C

Concept: Many number-series questions are built from a rule tied to each term's position n (n = 1, 2, 3, ...). A common such rule raises the position to its own power and then adds the position value itself: nn + n.

Application: Test this rule against every given term, using n as the term's position in the sequence.

  1. Position 2: 22 + 2 = 4 + 2 = 6

  2. Position 3: 33 + 3 = 27 + 3 = 30

  3. Position 4: 44 + 4 = 256 + 4 = 260

  4. Position 5: 55 + 5 = 3125 + 5 = 3130

  5. Position 6: 66 + 6 = 46656 + 6 = 46662

Cross-check: Reversing the last step confirms it — subtracting the position value 6 from 46662 leaves 46656, and 6 raised to the power 6 is exactly 46656, so the pattern holds without any inconsistency.

The missing number is 46662.

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