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OpenStudy (anonymous):
Find the sum of the geometric series 5+5/3+5/9+5/27+... a. =15/2 b. =-15 c. Does not exist d. =10/3
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OpenStudy (anonymous):
Ok we can see that the common geometric ratio is 1/3. Since 1/3 is less than 1, this infinite geometric sequence has a finite sum. Here is the formula for the sum of an infinite geometric series in which the common ratio is less than one. |dw:1339217032026:dw| A is the first term and r is the common ratio, thus: |dw:1339217050892:dw|
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