Square Pattern: Number of Squares in Each Diagram

Square Pattern: Number of Squares in Each Diagram

Secondary 1

Each diagram in the sequence consists of a number of squares.

  1. Draw diagram \({5}\) of the sequence in the answer space.
  2. The table shows the diagram number and the respective number of squares. Write down the value of \({a}\) and \({b}\).
    Diagram number\({1}\)\({2}\)\({3}\)\({4}\)\({5}\)\({6}\)
    Number of squares\({6}\)\({10}\)\({14}\)\({18}\)\({a}\)\({b}\)
  3. Write down, in terms of \({n}\), the formula of this sequence.
  4. There are \({106}\) squares in diagram \({N}\). Find the value of \({N}\).

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Answer:(a) Hollow \(6\)-by-\(7\) rectangular frame with \(22\) square markers (b) \(a=22\), \(b=26\) (c) \(T_n=4n+2\) (d) \(N=26\)

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