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Does the following infinite series converge or diverge? (1)/(2) - (2)/(9) + (4)/(27) + - (8)/(81) + A. It Diverges; it does not have a sum B. It converges; it does not have a su…
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Does the following infinite series converge or diverge? (1)/(2) - (2)/(9) + (4)/(27) + - (8)/(81) + A. It Diverges; it does not have a sum B. It converges; it does not have a su…
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Jul 4, 2019
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Does the following infinite series converge or diverge?
A. It Diverges; it does not have a sum
B. It converges; it does not have a sum
C. It Diverges; it has a sum
D. It converges; it has a sum
Mathematics
middle-school
Wu Li
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Wu Li
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The nth term is (presuming the denominator on the first is a typo)
The ratio of successive terms is
The limit is -1/3, absolute value less than 1, so the series converges. It has a sum -- that's what converges means.
Jaseem Abbas
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Jul 8, 2019
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Jaseem Abbas
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