Given the series
−
25
9
+
125
81
−
625
729
+
3125
6561
⋯
\displaystyle -\frac{{25}}{{9}}+\frac{{125}}{{81}}-\frac{{625}}{{729}}+\frac{{3125}}{{6561}}\cdots
−
9
25
+
81
125
−
729
625
+
6561
3125
⋯
Does this series converge or diverge?
diverges
converges
If the series converges, find the sum:
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Question 6 Part 2 of 2
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity