Answer:
The next number in the sequence is 432.
Explanation:
The given sequence is 2, 6, 12, 36, 72, 216, …
To identify the pattern in the sequence, we can observe that each term is obtained by multiplying the previous term by either 3 or 2 alternately. Starting with the first term:
2 × 3 = 6 6 × 2 = 12 12 × 3 = 36 36 × 2 = 72 72 × 3 = 216
To find the next number in the sequence, we continue the pattern:
216 × 2 = 432
Therefore, the next number in the sequence is 432.
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