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Complete the table, identifying the pattern for the number of matches and squares in a grid.

Mathematics

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Answer

✅ Correct! Your completed table is accurate.

Here's a breakdown of the patterns and the correct values:

Let nn be the pattern number, which is also the number of matches along one side.

  • Number of matches along one side: This is simply the pattern number, nn.
  • Number of small squares: This is n2n^2.
  • Number of matches used for the whole shape: This is 2n(n+1)2n(n+1).

Here is the completed table:

PatternNumber of matches along one sideNumber of small squaresNumber of matches used for the whole shapePattern 1114Pattern 22412Pattern 33924Pattern 441640Pattern 552560\begin{array}{|c|c|c|c|} \hline \textbf{Pattern} & \textbf{Number of matches along one side} & \textbf{Number of small squares} & \textbf{Number of matches used for the whole shape} \\ \hline \text{Pattern 1} & 1 & 1 & 4 \\ \hline \text{Pattern 2} & 2 & 4 & 12 \\ \hline \text{Pattern 3} & 3 & 9 & 24 \\ \hline \text{Pattern 4} & 4 & 16 & 40 \\ \hline \text{Pattern 5} & 5 & 25 & 60 \\ \hline \end{array}
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