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 there are 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 squans? Explain how you decithx1 this.
2. a. Sketch the next arrangement in the following sequence of tile:
b. Describe (in words) what the 25°' arrangement looks like. l low many tile does it contain?
c. What is the "nth" term of this arrangement?
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 tile than the other. Which two arrangements arc these?