Number Patterns

Number Patterns

TGM Original Questions

A sequence of patterns formed by squares is shown below.

  1. Draw Pattern \(4\).
  2. Complete the following table:
    List item image
  3. Based on your answers in (ii), find
    1. the number of squares to make pattern \(37\).
    2. the pattern number that uses a total of \(2023\) squares.
  4. Is there a pattern that is made up of \(242\) squares? Explain your answer.

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Answer:(i) Pattern 4 is a T-shape with \(13\) squares (ii) Pattern 4: \(13\) Pattern 5: \(16\) Pattern \(n\): \(3n+1\) (iii)(i) \(112\) (iii)(ii) Pattern \(674\) (iv) No, since \(n=\frac{241}{3}\) is not an integer

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