Consider the pattern displayed in this image to the right. a) Write a few words describing the pattern that you see.

b) Investigate this pattern with a table and a graph.

$\displaystyle {x}$: Figure Number $\displaystyle {y}$: Number of triangles 0 1 1 2 3 4

Clear All Draw: Dot

c) Use the idea of $\displaystyle {y}=\text{start}\cdot\text{growth}^{{x}}$ to write an equation that represents this pattern. Remember to use $\displaystyle {x}$  and $\displaystyle {y}$  for your variables.

Preview Question 6 Part 6 of 7  

To get the exponent, use the "^" key. For example, $\displaystyle {3}\cdot{4}^{{x}}$  is typed as 3*4^x.