Arithmetic and Geometric Patterns Practice Test

In the sequence 2, 6, 18, 54, 162, ..., each term after the first is obtained by multiplying the previous term by 3. What is the sum of the first 6 terms?

A pattern of dots is arranged in squares. The first square has 1 dot, the second has 4 dots, the third has 9 dots, and the fourth has 16 dots. If this pattern continues, how many dots will be in the 15th square?