1985 AJHSME Problems/Problem 7
Revision as of 20:31, 12 January 2009 by 5849206328x (talk | contribs) (New page: ==Problem== A "stair-step" figure is made of alternating black and white squares in each row. Rows <math>1</math> through <math>4</math> are shown. All rows being and end with a white squ...)
Problem
A "stair-step" figure is made of alternating black and white squares in each row. Rows 
through 
are shown. All rows being and end with a white square. The number of black squares in the 
row is
![[asy] draw((0,0)--(7,0)--(7,1)--(0,1)--cycle); draw((1,0)--(6,0)--(6,2)--(1,2)--cycle); draw((2,0)--(5,0)--(5,3)--(2,3)--cycle); draw((3,0)--(4,0)--(4,4)--(3,4)--cycle); fill((1,0)--(2,0)--(2,1)--(1,1)--cycle,black); fill((3,0)--(4,0)--(4,1)--(3,1)--cycle,black); fill((5,0)--(6,0)--(6,1)--(5,1)--cycle,black); fill((2,1)--(3,1)--(3,2)--(2,2)--cycle,black); fill((4,1)--(5,1)--(5,2)--(4,2)--cycle,black); fill((3,2)--(4,2)--(4,3)--(3,3)--cycle,black); [/asy]](http://latex.artofproblemsolving.com/1/6/b/16bbf453deb73effcd29c04ae7b433e465c6cffd.png)
Solution
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