Consider the following number series 0, 6, 24, 60, 120, X What is the value of…

2020

Consider the following number series
0, 6, 24, 60, 120, X
What is the value of term X?

  1. A.

    180

  2. B.

    210

  3. C.

    240

  4. D.

    156

Attempted by 9 students.

Show answer & explanation

Correct answer: B

The terms can be written as n³ - n:

1³ - 1 = 0
2³ - 2 = 6
3³ - 3 = 24
4³ - 4 = 60
5³ - 5 = 120

So the next term is for n = 6:
6³ - 6 = 216 - 6 = 210.

Therefore, X = 210.

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