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Mathematics
Problem
State the two conditions that the sequence
(
a
n
)
(a_n)
(
a
n
)
must satisfy for the alternating series
∑
n
=
1
∞
(
−
1
)
n
a
n
\displaystyle\sum_{n=1}^{\infty}(-1)^{n}a_n
n
=
1
∑
∞
(
−
1
)
n
a
n
to converge.
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