Assuming that the series is geometric, find the sum (correct up to 8 decimal places) of the first 25 terms of the following series: Thanks jpatrie
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The sum of a geometric series through the first n terms, if the first term is one, is , where r is the common ratio. In your example, r = -1/2. So the sum is .
Originally Posted by jpatrie Assuming that the series is geometric, find the sum (correct up to 8 decimal places) of the first 25 terms of the following series: Thanks jpatrie It is geometric. The common ratio is . Since , it is also an infinite geometric series... but that's another story. . The formula for sum of a geometric sequence is . We want the sum of the first 25 terms... so we have .
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