Discussion
The missing number in the blank position is 2, 3, 8, 27, 112, .....
Answer: D
The missing number is 565.
Each term is the previous term multiplied by 1, 2, 3, 4 and so on, plus the same number:
\[ \begin{aligned} 2 \times 1 + 1 &= 3 \\ 3 \times 2 + 2 &= 8 \\ 8 \times 3 + 3 &= 27 \\ 27 \times 4 + 4 &= 112 \\ 112 \times 5 + 5 &= 565 \end{aligned} \]
452 is \(112 \times 4 + 4\), which repeats the previous step's multiplier instead of moving on to 5; 340 and 227 fit no step of the pattern.
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