Calculus 2 Quiz
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SEQUENCES & SERIES
Question 1
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It is known that the series
∑
n
=
1
∞
1
n
2
\sum_{n=1}^{\infty} \frac{1}{n^2}
∑
n
=
1
∞
n
2
1
converges to
π
2
6
\frac{\pi^2}{6}
6
π
2
. What is the sum of the series
∑
n
=
3
∞
1
n
2
\sum_{n=3}^{\infty} \frac{1}{n^2}
∑
n
=
3
∞
n
2
1
?
A
π
2
6
−
5
4
\frac{\pi^2}{6} - \frac{5}{4}
6
π
2
−
4
5
B
π
2
6
−
1
4
\frac{\pi^2}{6} - \frac{1}{4}
6
π
2
−
4
1
C
π
2
6
−
13
36
\frac{\pi^2}{6} - \frac{13}{36}
6
π
2
−
36
13
D
The sum cannot be determined from the information given.
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