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, ?, ....

  1. A.

    317

  2. B.

    336

  3. C.

    341

  4. 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.

Explore the full course: Nta Ugc Net Paper 1