Given the series
∑
n
=
1
∞
(
2
9
)
n
−
1
\displaystyle {\sum_{{{n}={1}}}^{\infty}}{\left(\frac{{2}}{{9}}\right)}^{{{n}-{1}}}
n
=
1
∑
∞
(
9
2
)
n
−
1
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