This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Answer
2^{2n}$.
Here are the extended patterns:
2. Extend the patterns.
a) (Colored squares) Step 1: Analyze the pattern of colored squares. • Pattern 1: A square, total 4 small squares. • Pattern 2: A square, total 16 small squares. The side length of the square is . The total number of small squares is .
Step 2: Extend the pattern to the 3rd pattern. For the 3rd pattern (): Side length . Total number of small squares $= 8 \times
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.