Question

C.Examine the tile pattern at right.a.b.Review &PreviewOn your paper, sketch Figures 4 and 5.How does the pattern grow?Explain how you know. Per real71How many tiles will there be in Figure 100?Explain how you know.& В 60TopGol60Copy the axes below onto your paper. Add anFigure 1BFigure 2HOT DOGSFigure 3(Ignore what I written I didn’t do it correctly I think

Answer 1

From the given figure we can see that

The pattern increases 2 squares every time, 1 horizontal and 1 vertical

a)

Figure 4 has 5 horizontal squares and 4 vertical squares

Figure 5 has 6 horizontal squares and 5 vertical squares

b) The pattern increases by 2 squares every time

That because

Figure 1 has 3 squares

Figure 2 has 5 squares

Figure 3 has 7 square

5 - 3 = 2, 7 - 5 = 2

Then the pattern increases by 2

c.

To find the number of squares for the 100th term, we will use the equation

$a_n=2n+1$

Substitute n by 100

$\begin{gathered} a_{100}=2(100)+1 \\ \\ a_{100}=200+1 \\ \\ a_{100}=201 \end{gathered}$

There are 201 tiles in figure 100