Number Patterns in Growing Figures

Number Patterns in Growing Figures

Secondary 1

A sequence of patterns formed by squares and lines is shown below.

  1. Find the number of squares.
    1. in the \({4}^{\mathrm{th}}\) pattern,
    2. in the \({n}^{\mathrm{th}}\) pattern.
  2. Pattern \({n}\) has \({324}\) squares. Find the value of \({n}\).

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Answer:(a)(i) \(16\) squares (a)(ii) \(n^2\) squares (b) \(n=18\)

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