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\nEvaluating the sum of an infinite series\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n...\n👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n is the term number and d is the common difference. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term, n is the term number and r is the common ratio. Given a series using sigma notation, we evaluate the first few terms of the series in order to determine whether the series is arithmetic, geometric, or neither. if the series is arithmetic or geometric, we can use the formula for the arithmetic/geometric series above to evaluate the sum. If the series is neither arithmetic nor geometric, we can manually add each and every term to determine the sum.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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2:00
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2013
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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infinite series, infinity, geometric, arithmetic series, geometric series, finite
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how to find the sum of a series, how to evaluate a series, how to determine the sum of a series, how to, how to find, how to determine, how to evaluate, find, determine, evaluate, arithmetic, infinite, finite series, sum, formula, math help, learn how, i=1 sigma(3/10^i), how to evaluate the sum of an infinite series, how to find the sum of an infinite series, how to find sum of a series, brian mclogan, how, partial sum, repeating decimal, adding threes, gonna stop, stop, adding, gonna, actual, rest, life, repeat, give
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Evaluating the sum of an infinite series\" href=\"/subscription/new\">\"Evaluating\n\n
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