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, ?
- A.
44362
- B.
48456
- C.
46662
- 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.
Position 2: 22 + 2 = 4 + 2 = 6
Position 3: 33 + 3 = 27 + 3 = 30
Position 4: 44 + 4 = 256 + 4 = 260
Position 5: 55 + 5 = 3125 + 5 = 3130
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.