Find the next term (?) in the following number series. 0, 9, 26, 65, 124, 217,…
2025
Find the next term (?) in the following number series.
0, 9, 26, 65, 124, 217, ?, ....
- A.
317
- B.
336
- C.
341
- D.
342
Attempted by 10 students.
Show answer & explanation
Correct answer: D
The series follows an alternating pattern based on cubes of natural numbers. For odd positions, the formula is n^3 - 1. For even positions, the formula is n^3 + 1. Checking terms: - 1st term (n=1): 1^3 - 1 = 0 - 2nd term (n=2): 2^3 + 1 = 9 - 3rd term (n=3): 3^3 - 1 = 26 - 4th term (n=4): 4^3 + 1 = 65 - 5th term (n=5): 5^3 - 1 = 124 - 6th term (n=6): 6^3 + 1 = 217 Finding the next term (7th term, n=7): Calculation: 7^3 - 1 = 343 - 1 = 342.