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Mathematics
Problem
The series
5
+
5
(
1.1
)
+
5
(
1.1
)
2
+
5
(
1.1
)
3
+
…
5+5(1.1)+5(1.1)^{2}+5(1.1)^{3}+\dots
5
+
5
(
1.1
)
+
5
(
1.1
)
2
+
5
(
1.1
)
3
+
…
continues indefinitely. Determine whether this series converges or diverges, and give a brief justification.
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