Arithmetic Sequences and Series

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Arithmetic Sequences and Series
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Arithmetic Sequences
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An Arithmetic Sequence is defined as a sequence
in which there is a common difference between
consecutive terms.
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Which of the following sequences are arithmetic?
Identify the common difference.
YES
YES
NO
NO
YES
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The common difference is always the difference
between any term and the term that proceeds that
term.
Common Difference 5
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The general form of an ARITHMETIC sequence.
First Term
Second Term
Third Term
Fourth Term
Fifth Term
nth Term
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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.
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IDENTIFY
SOLVE
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Find What term number is -169?
IDENTIFY
SOLVE
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Whats the real question?
The Difference
IDENTIFY
SOLVE
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IDENTIFY
SOLVE
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Arithmetic Series
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Write the first three terms and the last two
terms of the following arithmetic series.
What is the sum of this series?
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What is the SUM of these terms?
Written 1st to last.
Written last to 1st.
Add Down
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In General . . .
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Find the sum of the terms of this arithmetic
series.
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Find the sum of the terms of this arithmetic
series.
What term is -5?
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Alternate formula for the sum of an Arithmetic
Series.
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Find the sum of this series
It is not convenient to find the last term.
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