Mathematics, 11.03.2020 02:07 Karxra
For the following telescoping series, find a formula for the nth term of the sequence of partial sums
S
n
. Then evaluate
lim
n
→
[infinity]
S
n
to obtain the value of the series or state that the series diverges.
∑
[infinity]
k
=
1
=
10
(
5
k
−
1
)
(
5
k
+
4
)
Answers: 2
, then
, then
th partial sum of the series:
, the second term vanishes and leaves us with
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For the following telescoping series, find a formula for the nth term of the sequence of partial sum...
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