A+ Answers

assignment #2: Visual Patterns

1.         The first three figures in a pattern are shown below:

            a. Draw the next building in the sequence.

            b. How many white squares do you think will be in the figure with 100 black                        squares? Explain how you decided this.

            c. In the pattern, which figure, if any, has 93 white squares? Explain how you                       decided this.

            d. In the pattern, which figure, if any, has 442 white squares? Explain how you       

                decided this.

2.         a. Sketch the next arrangement in the following sequence of tiles:

            b. Describe (in words) what the 25^th arrangement looks like. How many tiles does               

                it contain?

            d. A certain arrangement contains 500 tiles. Which arrangement is it?

            e. Two arrangements together contain 160 tiles. One of the arrangements contains                             30 more tiles than the other. Which two arrangements are these?