AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
Question 1
of 20
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For
S
=
∑
n
=
1
∞
(
−
1
)
n
+
1
4
n
5
S=\sum_{n=1}^{\infty}(-1)^{n+1}\frac{4}{n^5}
S
=
∑
n
=
1
∞
(
−
1
)
n
+
1
n
5
4
, what is the error bound using the first
6
6
6
terms?
A
≤
4
6
5
\le \dfrac{4}{6^5}
≤
6
5
4
B
≤
4
7
5
\le \dfrac{4}{7^5}
≤
7
5
4
C
≤
4
8
5
\le \dfrac{4}{8^5}
≤
8
5
4
D
≤
2
7
5
\le \dfrac{2}{7^5}
≤
7
5
2
E
≤
4
7
5
−
6
5
\le \dfrac{4}{7^5-6^5}
≤
7
5
−
6
5
4
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