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Sum of an Infinite Geometric Series, Ex 2 :
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In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series is geometric, because each successive term can
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There is another "type" of convergence that we need to define before proceeding. Suppose that we have a series. If the series converges, then s is said to be
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converges. An especially strong type of convergence is called uniform convergence, and series which are uniformly convergent have particularly "nice" properties.
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Convergence proof of a geometric series :
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Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Divergence Test :
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A geometric series is a sequence of numbers created by multiplying each term by a fixed number to get the next term. For example, the series 1, 2, 4, 8, 16
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The Super Formula for Infinite Geometric Series :
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Geometric Series :
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Let's play the same game for a general q instead of 1/2: multiply both sides by q. then, subtract the second line from the first: The series is called the geometric
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Geometric series convergence and divergence examples :
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Sequences and Series (part 1) :
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Identifying sequence convergence and divergence :
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Geometric Series and the Test for Divergence - Part 1 :
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Sum of an Infinite Geometric Series, Ex 1 :
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