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Mathematics
Problem
Explain what conclusion can be drawn about the infinite series
∑
k
=
1
∞
a
k
\displaystyle \sum_{k=1}^{\infty} a_k
k
=
1
∑
∞
a
k
if its sequence of partial sums satisfies
lim
n
→
∞
S
n
=
7
\displaystyle \lim_{n\to\infty} S_n = 7
n
→
∞
lim
S
n
=
7
, where
S
n
=
∑
k
=
1
n
a
k
S_n = \sum_{k=1}^{n} a_k
S
n
=
∑
k
=
1
n
a
k
.
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