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Geometric Sequences and Series




 
Related Topics:
More Lessons for Intermediate Algebra, More Lessons for Algebra, Math Worksheets

A series of free, online Intermediate Algebra Lessons or Algebra II lessons.
Videos, worksheets, and activities to help Algebra students.

In this lesson, we will learn

  • geometric sequences
  • how to find the nth term in a geometric sequence
  • geometric series
  • how to find the sum of a geometric series

Geometric Sequences

A list of numbers that follows a rule is called a sequence. Sequences whose rule is the multiplication of a constant are called geometric sequences, similar to arithmetic sequences that follow a rule of addition. Homework problems on geometric sequences often ask us to find the nth term of a sequence using a formula. Geometric sequences are important to understanding geometric series.

This video introduces geometric sequences.
Geometric Sequences (Introduction)



A Quick Intro to Geometric Sequences.
This video gives the definition of a geometric sequence and go through 4 examples, determining if each qualifies as a geometric sequence or not.

Geometric Sequences - Find the nth term

Geometric Sequences: A Formula for the' n - th ' Term.
This video derives the formula to find the 'n-th' term of a geometric sequence by considering an example. The formula to find another term of the sequence.


 
In this video we look at 2 ways to find the general term or nth term of a geometric sequence.

Geometric Series

We can use what we know of geometric sequences to understand geometric series. A geometric series is a series or summation that sums the terms of a geometric sequence. There are methods and formulas we can use to find the value of a geometric series. It can be helpful for understanding geometric series to understand arithmetic series, and both concepts will be used in upper-level Calculus topics. This video introduces geometric series.


How to find the sum of a geometric series.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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