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Linear sequences

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Intros
Lessons
  1. Linear Sequences Overview:
  2. Common Difference
  3. Finding the next few terms
  4. nnth term
  5. Classifying unknown terms
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Examples
Lessons
  1. Using the formula to find the sequences
    You are given that the nth term of a sequence is
    2n - 1

    Write the first 4 terms of the sequence.
    1. Finding the common difference, first few terms, and nth term
      Consider the linear sequence:
      2, 5, 8, 11, 14, ...
      1. Find the common difference.
      2. Find the next 4 terms.
      3. Find the nth term.
    2. Consider the linear sequence:
      10, 8, 6, 4, 2, ...
      1. Find the common difference.
      2. Find the next 4 terms.
      3. Find the nth term.
    3. Using the nth term formula and classifying unknown terms
      Consider the linear sequence:
      1, 6, 11, 16, 21, ...

      1. Find the nth term.
      2. Find the 100th term.
      3. Is 106 a term in the sequence?
      4. Is 245 a term in the sequence?
    4. Consider the linear sequence:
      11, 7, 3, -1, -5, ...

      1. Find the nth term.
      2. Find the 15th term.
      3. Is -103 a term in the sequence?
      4. Is -205 a term in the sequence?
    Topic Notes
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    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.