Discussion
Find the next term in the following series. 216, 512, 1000, 1728, ?
Answer: A
The next term is 2744.
Each term is the cube of an even number, rising by 2 each time:
\[ \begin{aligned} 216 &= 6^3,\ 512 = 8^3 \\ 1000 &= 10^3,\ 1728 = 12^3 \\ \text{next} &= 14^3 = 2744 \end{aligned} \]
The differences (296, 488, 728) grow too, but not in a way that points to 2352 or 2016; those come from guessing a simple pattern in the differences. Since 2744 is listed, 'None of these' is wrong.
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