Impact: Arithmetic Sequences and Series
Default Design: Arithmetic Sequences
MathType 5.0 Equation: An Arithmetic Sequence is defined as a sequence in which there is a common difference between consecutive terms.
Arithmetic Sequences and Series: Which of the following sequences are arithmetic ? Identify the common difference. YES YES YES NO NO
PowerPoint Presentation: The common difference is always the difference between any term and the term that proceeds that term. Common Difference = 5
PowerPoint Presentation: The general form of an ARITHMETIC sequence. First Term: Second Term: Third Term: Fourth Term: Fifth Term: nth Term:
PowerPoint Presentation: Formula for the nth term of an ARITHMETIC sequence. If we know any three of these we ought to be able to find the fourth.
PowerPoint Presentation: Given: Find: IDENTIFY SOLVE
PowerPoint Presentation: Given: Find: What term number is -169? IDENTIFY SOLVE
PowerPoint Presentation: Given: IDENTIFY SOLVE Find: What’s the real question? The Difference
PowerPoint Presentation: Given: IDENTIFY SOLVE Find:
PowerPoint Presentation: Arithmetic Series
PowerPoint Presentation: Write the first three terms and the last two terms of the following arithmetic series. What is the sum of this series?
PowerPoint Presentation: Written 1st to last. Written last to 1st. What is the SUM of these terms? Add Down 71 + (-27) Each sum is the same. 50 Terms
PowerPoint Presentation: In General . . .
PowerPoint Presentation: Find the sum of the terms of this arithmetic series.
PowerPoint Presentation: Find the sum of the terms of this arithmetic series. What term is -5?
PowerPoint Presentation: Alternate formula for the sum of an Arithmetic Series.
PowerPoint Presentation: Find the sum of this series It is not convenient to find the last term.
PowerPoint Presentation: Your Turn