Select the number from among the given options that can replace the question…
2023
Select the number from among the given options that can replace the question mark (?) in the following series: 6, 7, 15, 24, 88, ?, 329
- A.
113
- B.
114
- C.
115
- D.
116
Attempted by 44 students.
Show answer & explanation
Correct answer: A
Answer: 113
Pattern: The differences between consecutive terms are successive powers, alternating between cubes and squares:
7 - 6 = 1 = 1^1
15 - 7 = 8 = 2^3
24 - 15 = 9 = 3^2
88 - 24 = 64 = 4^3
Next difference should be 5^2 = 25, so the missing term is 88 + 25 = 113
As a check, the following difference is 6^3 = 216 and 113 + 216 = 329, which matches the final term.
Therefore the missing number is 113.