# Precalculus Examples

, ,

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .

Arithmetic Sequence:

Step 2

This is the formula of an arithmetic sequence.

Step 3

Substitute in the values of and .

Step 4

Step 4.1

Apply the distributive property.

Step 4.2

Multiply by .

Step 5

Step 5.1

Subtract from .

Step 5.2

Add and .

Step 6

Substitute in the value of to find the th term.

Step 7

Multiply by .