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?
Answer: B. 210 — 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.…
- A.
180
- B.
210
- C.
240
- D.
156
Attempted by 87 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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