2018 AMC 10B Problems/Problem 8
Revision as of 16:16, 16 February 2018 by Cardinals2014 (talk | contribs) (Created page with "Sara makes a staircase out of toothpicks as shown:<asy> size(150); defaultpen(linewidth(0.8)); path h = ellipse((0.5,0),0.45,0.015), v = ellipse((0,0.5),0.015,0.45); for(int i...")
Sara makes a staircase out of toothpicks as shown:![[asy] size(150); defaultpen(linewidth(0.8)); path h = ellipse((0.5,0),0.45,0.015), v = ellipse((0,0.5),0.015,0.45); for(int i=0;i<=2;i=i+1) { for(int j=0;j<=3-i;j=j+1) { filldraw(shift((i,j))*h,black); filldraw(shift((j,i))*v,black); } }[/asy]](http://latex.artofproblemsolving.com/6/4/d/64dae9d5742d72398d8f4ea4711a8da0029f8bac.png)
This is a 3-step staircase and uses 18 toothpicks. How many steps would be in a staircase that used 180 toothpicks?
