Arithmetic and Geometric Sequences

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