# The Geometric Series

• Geometric sequences
1. Introduction to geometric sequences (10:44) Recognizing a geometric sequence, the initial term and common ratio.
2. Introduction to geometric sequences (advanced) (6:38) An emphasis on the notation is given to deduce the term of the sequence.
3. Explicit and recursive formulas for geometric sequences (5:37) Find explicit and recursive formulas for the term of the sequence .
4. * Practice: Explicit formulas for geometric series. (4 problems)
• Geometric series
1. Introduction to geometric series (6:16) Using a savings account as an application of geometric series.
2. Geometric series (2:52) Using the sigma notation to represent the sum of the terms of the sequence.
3. Finite geometric series (7:14) Deriving a formula for a finite geometric series.
4. Evaluate a finite geometric series (6:54)
1. Find the sum of the first terms in the sequence: .
2. Evaluate .
3. Find the sum of the first terms in the sequence given by and .
5. * Practice: Geometric series formula. (4 problems)