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Arithmetic Sequences and Series
An Arithmetic Sequence is defined as a sequence in which there is a common difference between consecutive terms.
Which of the following sequences are arithmeticWhich of the following sequences are arithmetic? Identify the common difference. YES YES NO NO YES
The common difference is always the difference between any term and the term that proceeds that term. Common Difference = 5
The general form of an ARITHMETIC sequence.First Term: Second Term: Third Term: Fourth Term: Fifth Term: nth Term:
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.
Given: Find: IDENTIFY SOLVE
Find: What term number is -169?Given: Find: What term number is -169? IDENTIFY SOLVE
Given: Find: What’s the real question? The Difference IDENTIFY SOLVE
Given: Find: IDENTIFY SOLVE
Write the first three terms and the last two terms of the following arithmetic series.What is the sum of this series?
What is the SUM of these terms?Written 1st to last. Written last to 1st. Add Down 50 Terms 71 + (-27) Each sum is the same.
In General . . .
Find the sum of the terms of this arithmetic series.
Find the sum of the terms of this arithmetic series.What term is -5?
Alternate formula for the sum of an Arithmetic Series.
Find the sum of this seriesIt is not convenient to find the last term.
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8-5 Ticket Out Geometric Sequences Obj: To be able to form geometric sequences and use formulas when describing geometric sequences.
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Choi 2012 Arithmetic Sequence A sequence like 2, 5, 8, 11,…, where the difference between consecutive terms is a constant, is called an arithmetic sequence.
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How do I find the sum & terms of geometric sequences and series?
Geometric Sequence Sequences and Series. Geometric Sequence A sequence is geometric if the ratios of consecutive terms are the same. 2, 8, 32, 128, 512,...
Section Finding sums of geometric series -Using Sigma notation Taylor Morgan.
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Find each sum:. 4, 12, 36, 108,... A sequence is geometric if each term is obtained by multiplying the previous term by the same number called the common.
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12.3 – Analyze Geometric Sequences and Series. Geometric Sequence: Ratio of any term to the previous term is constant Common Ratio: Ratio each term is.
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