For two weeks, Gabrielle raised money by selling magazines. She raised $72 during the second week, which brought her total to $1
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a. The series is
(first four terms are listed)
b. The series converges because this is a geometric series with .
c. Let be the
-th partial sum of the series:
Multiplying both sides by gives
Subtracting this from gives
As gets larger and larger
the rational term converges to 0 and we're left with