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Arithmetic Sequences and Series




 
Related Topics:
More Lessons for Algebra II, More Lessons and Worksheets for Algebra

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

  • about arithmetic sequences
  • how to find the formula for the nth term of an arithmetic sequence
  • about arithmetic series
  • how to find the sum of an arithmetic series

What is an Arithmetic Sequence?
A list of numbers that follows a rule is called a sequence. Sequences whose rule is the addition of a constant are called arithmetic sequences, similar to geometric sequences that follow a rule of multiplication. Homework problems on arithmetic sequences often ask us to find the nth term of a sequence using a formula. Arithmetic sequences are important to understanding arithmetic series.
This video introduces arithmetic sequences.
Quick Intro to Arithmetic Sequences
Just a quick idea of what an arithmetic sequence is and a few examples



Arithmetic Sequences:
A Formula for the 'nth' Term.
This video derives the formula to find the 'n-th' term of a sequence by considering an example. The formula is then used to do a few different problems.
How to find the general term of an arithmetic sequence.


 
What is an Arithmetic Series?
We can use what we know of arithmetic sequences to understand arithmetic series. An arithmetic series is a series or summation that sums the terms of an arithmetic sequence. There are methods and formulas we can use to find the value of an arithmetic series. Understanding arithmetic series can help to understand geometric series, and both concepts will be used when learning more complex Calculus topics.
This video introduces arithmetic series.
How to find the sum of an arithmetic 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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