What is the missing number in the following sequence? \(2, 12, 60, 240, 720,…
2018
What is the missing number in the following sequence?
\(2, 12, 60, 240, 720, 1440, _____, 0\)
- A.
2880
- B.
1440
- C.
720
- D.
0
Attempted by 119 students.
Show answer & explanation
Correct answer: B
Key pattern: each term is obtained by multiplying the previous term by a descending integer (6, 5, 4, 3, 2, 1, 0).
12 = 2 × 6
60 = 12 × 5
240 = 60 × 4
720 = 240 × 3
1440 = 720 × 2
next = 1440 × 1 = 1440
final = 1440 × 0 = 0
Conclusion: the missing number is 1440.
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