Discussion
What is the value of X in the sequence 4, 8, 32, 192, 1536, 15360, X ?
Answer: B
X is 184320.
Each term is the previous one multiplied by the next even number: \(4 \times 2 = 8\), \(8 \times 4 = 32\), \(32 \times 6 = 192\), \(192 \times 8 = 1536\), \(1536 \times 10 = 15360\).
\[ X = 15360 \times 12 = 184320 \]
The other options differ from 184320 by small amounts (−7, +1, +7) and are there to catch arithmetic slips. 184320 is also the only one divisible by 15360's factor 10, a fast check since every term after 15360 must end in 0.
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