Discussion
What is the missing number in the following sequence?
2, 12, 60, 240, 720, 1440, _____, 0
Answer: B
The missing number is 1440.
Each term is the previous one multiplied by a factor that falls by one each time: 2 × 6 = 12, 12 × 5 = 60, 60 × 4 = 240, 240 × 3 = 720, 720 × 2 = 1440. The next factor is 1, giving 1440 × 1 = 1440, and then 0, giving 1440 × 0 = 0, which matches the last term.
2880 continues doubling, which is only the last step's factor. 720 and 0 do not fit the falling multipliers, and 0 is reserved for the final term, which needs the factor 0.
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