Question

1. how many sticks are in the 8th pattern2. how many sticks are in the 77th pattern 3. which pattern number would have 188 sticks4. write the linear equation for this relationship

Answer 1

Let's begin by identifying key information given to us:

1st pattern = 2 sticks

2nd pattern = 5 sticks

3rd pattern = 8 sticks

4th pattern = 11 sticks

Let's represent this information in a mathematical manner. We have:

$\begin{gathered} a_1=2 \\ a_2=5 \\ a_3=8 \\ a_4=11 \\ d=a_2-a_1=a_3-a_2=a_4-a_3=5-2=8-5=11-8=3 \\ \Rightarrow d=3 \end{gathered}$