Linear sequences - Sequences and Series

Linear sequences

Lessons

Notes:
In this section we will learn about finding the common difference, finding the next few terms of the sequences, and finding the formula for the nnth term.
Common difference (term to term rule)
Look at the terms and see how much they are increasing or decreasing from one term to another.
Finding the next term
Add the term with the common difference
Finding the nnth term (position to term rule)
  1. Find the common difference
  2. Write a multiplication table for the common difference. Find the general term for it
  3. Find the difference of the two sequences. Add/Subtract the difference to the general term to get the nth term.
  • Intro Lesson
    Linear Sequences Overview:
  • 2.
    Finding the common difference, first few terms, and nth term
    Consider the linear sequence:
    2, 5, 8, 11, 14, ...
  • 3.
    Consider the linear sequence:
    10, 8, 6, 4, 2, ...
  • 4.
    Using the nth term formula and classifying unknown terms
    Consider the linear sequence:
    1, 6, 11, 16, 21, ...

  • 5.
    Consider the linear sequence:
    11, 7, 3, -1, -5, ...

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Linear sequences

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