• Share
  • Email
  • Embed
  • Like
  • Save
  • Private Content
Algebraic Sequences
 

Algebraic Sequences

on

  • 15,092 views

This is a lesson/slideshow presentation I made for my 8th grade PreAlgebra students.

This is a lesson/slideshow presentation I made for my 8th grade PreAlgebra students.

Statistics

Views

Total Views
15,092
Views on SlideShare
14,895
Embed Views
197

Actions

Likes
1
Downloads
91
Comments
1

7 Embeds 197

http://dranglin.net 141
http://www.slideshare.net 31
http://www.schoology.com 12
http://www.dranglin.net 9
https://blendedschools.blackboard.com 2
https://www.blendedschools.blackboard.net 1
http://htmlcomponentservice.appspot.com 1
More...

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel

11 of 1 previous next

  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
  • Thanks a lot. It helped my son to finish his home work.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

    Algebraic Sequences Algebraic Sequences Presentation Transcript

    • Algebraic Sequences Obj. Generate an algebraic expression given part of a sequence.
    • Algebraic Sequence
      • A sequence which has a constant difference between terms.
      • Examples:
      • 1, 5, 9, 13, 17
      • -7, -1, 5, 11, 17
      • 21, 20, 19, 18, 17
    • EXAMPLE 1 Write an expression for the n th term in the sequence 3, 4, 5, 6, 7, …? Step 1 :  Construct a process chart showing the position and the corresponding term. 3 4 5 6 7 +1 +1 +1 +1 Position “ 0” 1 2 3 4 5 n Term
    • Determine the common difference (the change) of the terms. STEP 2 Common Difference: 1 This is the coefficient of n . 1 n
    • Reverse the pattern to find the “zero” term. STEP 3 3 4 2 5 6 7 -1 Zero term: 2 Position “ 0” 1 2 3 4 5 n Term
    • Common Difference: 1 FINISHING IT OFF Zero Term: 2 1 2 n + 2 n +
    • EXAMPLE 1 Write an expression for the n th term in the sequence 12, 8, 4, 0, -4, …? Step 1 :  Construct a process chart showing the position and the corresponding term. 12 8 4 0 -4 -4 -4 -4 -4 Position “ 0” 1 2 3 4 5 n Term
    • Determine the common difference (the change) of the terms. STEP 2 Common Difference: -4 This is the coefficient of n . -4 n
    • Reverse the pattern to find the “zero” term. STEP 3 12 8 16 4 0 -4 +4 Zero term: 16 Position “ 0” 1 2 3 4 5 n Term
    • Common Difference: -4 FINISHING IT OFF Zero Term: 16 -4 16 -4 n + 16 n +
    • Practice
      • 4, 9, 14, 19, 24
        • 5n + -1 or 5n - 1
      • -8, -5, -2, 1, 4
        • 3n + -11 or 3n – 11
      • 7, 1, -5, -11, -17
        • -6n + 13
      • -15, -11, -7, -3, 1
        • 4n + -19 or 4n – 19