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25.07.2019 •
Mathematics
Evaluate the geometric series or state that it diverges. one ninth 1 9plus+startfraction 7 over 81 endfraction 7 81plus+startfraction 49 over 729 endfraction 49 729plus+startfraction 343 over 6561 endfraction 343 6561plus+
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Ответ:
In the given geometric series, r, the common ratio is 7/9; therefore the series is convergent.
Step-by-step explanation:
We are given the geometric series:
The general geometric series is in the for
, where a is the first term and r is the common ratio.
Comparing with the given geometric series, we have,
If r > 1, the series is divergent.
If r < 1, the series is convergent.
In the given geometric series, r, the common ratio is 7/9; therefore the series is convergent.
Ответ:
sup
sup
sup
Step-by-step explanation: