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Published bySamuel Lawrence Modified over 9 years ago
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Infinite Geometric Series Recursion & Special Sequences 33 22 11 Definitions & Equations Writing & Solving Geometric Series Practice Problems
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Definitions 2 Infinite Geometric Series A geometric series that has no final value Recursive Formula Each term is formulated from one or more of the previous terms Fibonacci Sequence Each term is formulated by adding the two previous terms 1, 1, 2, 3, 5, 8, 13, 21, 34… a n = a n-2 + a n-1
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Sum of an Infinite Geometric Series The sum (S) of an infinite geometric series with -1 < r < 1 is given by If |r|≥1, the sum does not exist 3
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Finding the Sum of an Infinite Geometric Series Find the sum if it exits 4
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Finding the Sum of an Infinite Geometric Series Find the sum if it exits 5
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Use a Recursive Formula Find the first five terms of a sequence in which a 1 =4 and a n+1 =3a n -2, n≥1. 6
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Fibonacci Sequences in Nature 7
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More Fibonacci Sequences in Nature 8
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My Personal Favorite Fibonacci Sequence in Nature 9
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