# Precalculus Examples

, ,

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .

Geometric Sequence:

Step 2

This is the form of a geometric sequence.

Step 3

Substitute in the values of and .

Step 4

Apply the product rule to .

Step 5

One to any power is one.

Step 6

Combine and .

Step 7

Substitute in the value of to find the th term.

Step 8

Step 8.1

Subtract from .

Step 8.2

Raise to the power of .

Step 9

Divide by .