Answer:
432, 2592, 15552
Explanation:
You want the next three terms in the sequence that begins 2, 12, 72.
Geometric sequence
The given numbers have a common ratio of 6 and a first term of 2. They can be described by the formula ...
a(n) = 2·6^(n-1)
For values of n = 4 through 6, the next three terms are ...
a(4) = 2·6^3 = 432
a(5) = 2·6^4 = 2592
a(6) = 2·6^5 = 15552
The next three terms using the same pattern are 432, 2592, and 15552.
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Additional comment
Of course, you don't need the explicit formula for term n. You can simply multiply the previous term by 6: 72×6 = 432; 432×6 = 2592; 2592×6 = 15552.
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