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3-32.

Study the dot pattern below.

$\Large\begin{array}{c c} \bullet & \bullet\\ \bullet & \bullet \end{array}\\ \, \text{Fig. 1}$

$\Large\begin{array}{c c} \bullet & \bullet\\ \bullet & \bullet\\ \bullet & \bullet \end{array}\\ \, \text{Fig. 2}$

$\text{Fig. 3}$

$\Large\begin{array}{c c} \bullet & \bullet\\ \bullet & \bullet\\ \bullet & \bullet\\ \bullet & \bullet\\ \bullet & \bullet \end{array}\\ \, \text{Fig. 4}$

$\text{Fig. 5}$

1. Draw the $3$rd and $5$th figures.

Can you see a pattern in the completed figures? Use this pattern to complete figures 3 and 5.

2. How many dots will there be in the $50$th figure?

The number of dots can be found by multiplying the figure number by $2$ and then adding $2$. Do this with the figure number equal to $50$.

$102$ dots

3. Is there a figure that will have exactly $38$ dots? If so, which figure is it?

• Do the same process as above, but in reverse. Subtract $2$ and then divide by $2$. If you get a whole number, that is the figure number.