### Home > ACC6 > Chapter 1 Unit 1 > Lesson CC1: 1.2.4 > Problem1-91

1-91.

Study the dot pattern below.

$\begin{array}{c c c} & \bullet \\ \bullet & \; & \bullet \\ \newcommand{blank}{\ } & \bullet \end{array}\\ \array{\text{Figure 1}}$

$\begin{array}{c c c} \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \bullet & \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \end{array}\\ \array{\text{Figure 2}}$

$\begin{array}{c c c} \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \bullet & \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \end{array}\\ \array{\text{Figure 3}}$

1. Sketch the $4^{\text{th}}$ and $5^{\text{th}}$ figures.

What is the pattern of the first $3$ figures? Follow this pattern in sketching Figures $4$ and $5$

See Figures 4 and 5 below.

$\begin{array}{c c c} \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \bullet & \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \end{array}\\ \text{Figure 4}$

$\begin{array}{c c c} \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \bullet & \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \\ \newcommand{blank}{\ } & \bullet \end{array}\\ \text{Figure 5}$

2. How many dots will the $50^{\text{th}}$ figure have?

Try finding a way to describe how you add dots to the figures.
How many dots did you start with? How many do you add each time?

Use the eTool below to create the figures.
Click the link at right for the full version of the eTool: