A, you saw an arithmetic sequence that generates from a geometric pattern: the number of seats around a linear arrangement of square tables is 4, 6, 8, . . . . Notice that the sequence comes from the increase in the perimeter of the arrangement. What sequence comes from the increase in area?

Use these geometric patterns to generate recursive sequences using perimeter, area, height, or other attributes, and give their recursive formulas. Which sequences exhibit arithmetic growth? Geometric growth? Are there sequences you cannot define as arithmetic or geometric?

Invent a geometric pattern of your own. Look for and define different sequences.

8.