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VTRMC
2022 VTRMC
4
Sum of Difference of Logs
Sum of Difference of Logs
Source: VTRMC 2022 P4
January 4, 2023
VTRMC
college contests
logarithms
series
Summation
infinite sum
Problem Statement
Calculate the exact value of the series
∑
n
=
2
∞
log
(
n
3
+
1
)
−
log
(
n
3
−
1
)
\sum _{n=2} ^\infty \log (n^3 +1) - \log (n^3 - 1)
∑
n
=
2
∞
lo
g
(
n
3
+
1
)
−
lo
g
(
n
3
−
1
)
and provide justification.
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