Analysis and Approaches for IBDP Maths Ebook 1 | Page 61

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3. Consider the following sequence of figures.
Figure 1 Figure 2 Figure 3
Figure 1 contains 6 line segments.
(a) Given that Figure n contains 251 line segments, show that n � 50 .
(b)
Find the total number of line segments in the first 50 figures.
4. Consider the following sequence of figures.
[3]
[3]
5
Figure 1 Figure 2 Figure 3
Figure 1 contains 12 edges and Figure 2 contains 23 edges.
(a) Given that Figure n contains 221 edges, show that n � 20 .
(b) Find the total number of edges of Figure 18, Figure 19 and Figure 20.
[3]
[3]
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