The figure below shows a series of patterns consisting of dots and lines. Figure 1 has 4 dots and 7

Question

The figure below shows a series of patterns consisting of dots and lines. Figure 1 has 4 dots and 7 lines. Which figure has 19 dots?[1] Let $L_n$ denote the number of lines. Write down a formula for $L_n$ in terms of $n$, in Figure $n$.[1] Is there a figure with 83 lines? Explain your reasoning.[1]

Accepted Answer

(a) Figure $6$ (b) $L_n=5n+2$ (c) No

2025 CGS PRELIMS P1 Q23

2025 CGS PRELIMS P1 Q23

Solution:

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