1. Arithmetic and Geometric Sequences Finding the nth Term 2,4,6,8,10,…

2. Arithmetic Sequence A set of numbers in a specific order in which each term, after the first, is found by adding a constant, called the common difference, denoted by d, to the previous term. Each number in a sequence is called a term. The first term is symbolized by The second term by The nth term is represented by

3. nth Term of an Arithmetic Sequence Formula where d is the common difference

4. Geometric Sequence A sequence in which each term after the first can be found by multiplying the preceding term by a constant called the common ratio, denoted by r. The common ratio can be found by dividing any term by the preceding term. The terms between any two nonconsecutive terms of a geometric sequence are called geometric means.

5. nth Term of a Geometric Sequence