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andreyandreev [35.5K]
3 years ago
15

Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the I minus 1 power from 1 to infinit

y is a convergent or divergent geometric series and find the sum, if possible.
Mathematics
1 answer:
Finger [1]3 years ago
3 0
∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]

Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.

Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
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