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8.1_bzca5e - Section 8.1 Sequences and Summation Notation...

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Section 8.1 Sequences and Summation Notation
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Sequences
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The graph of a sequence is a set of discrete points. The graph 1 1 of the sequence a is similar to f(x)= it only contains the points whose x-coordinates are positive integers. n except n x =
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Technology On the TI 83, 84 Calculator: 2nd - STAT (list) - OPS- #5 for Seq (Expression, X, Lower Bound, Upper Bound, increment)
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Example Write the first four terms of the sequences whose nth term is given below. (1) a 2 1 ( 1) (2) a 2 3 n n n n n = - + - = +
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Recursion Formulas
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Sequences can also be defined using recursion formulas. A recursion formula defines the nth term of a sequence as a function of the previous term.
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Example 1 1 Find the first four terms of a sequence given that a 2 and a 4( ) 1. n n a - = = +
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Factorial Notation
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Factorials from 0 to 15
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Technology On the TI 83, 84 Calculator: MATH-PRB-#4 is !
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Example Evaluate each factorial expression. 3! 5! 8! 2!6!
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Example Write the first three terms of the sequence whose 3 nth term is a ( 1)! n n n = +
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Summation Notation
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The sum of the cost of raising a child who was born in 2002 until and including the year he reached 17 would be $231,680. A total of 18 years since the first
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