Given the series
∑
k
=
0
∞
(
17
9
)
k
\displaystyle {\sum_{{{k}={0}}}^{{\infty}}}{\left(\frac{{17}}{{9}}\right)}^{{k}}
k
=
0
∑
∞
(
9
17
)
k
Does this series converge or diverge?
diverges
converges
If the series converges, find the sum of the series:
∑
k
=
0
∞
(
17
9
)
k
\displaystyle {\sum_{{{k}={0}}}^{{\infty}}}{\left(\frac{{17}}{{9}}\right)}^{{k}}
k
=
0
∑
∞
(
9
17
)
k
=
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Question 6 Part 2 of 2
(If the series diverges, just leave this second box blank.)
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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