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# Pattern Recognition

In each of these puzzles, you'll try figure out what creative patterns we intended. However, if you're up for a challenge, try to then come up with a different, crazy way to explain each sequence!

What is the \( \color{red} {27 ^\text{th} } \) term in the following sequence:

\[1, 4, 9, 16, 25, \dots?\]

What is the \(9^{th}\) term in the following sequence: \[ 2, 6, 12, 20, 30, \cdots ?\]

What is the \( \color{red} {9 ^\text{th} } \) term in the following sequence:

\[ 1, 3, 5, 7, 9, \ldots \]

What is the \( \color{red} {8^{\text{th}} } \) term in the following sequence of even integers:

\[ 2, 4, 6, 8, 10, \dots? \]

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