AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
Question 1
of 20
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A signal model uses
f
(
x
)
=
1
1
−
3
x
f(x)=\frac{1}{1-3x}
f
(
x
)
=
1
−
3
x
1
for
∣
x
∣
<
1
3
|x|<\frac{1}{3}
∣
x
∣
<
3
1
; which power series represents
f
(
x
)
f(x)
f
(
x
)
?
A
∑
n
=
0
∞
3
n
x
n
+
1
\displaystyle \sum_{n=0}^{\infty} 3^n x^{n+1}
n
=
0
∑
∞
3
n
x
n
+
1
B
∑
n
=
0
∞
3
n
+
1
x
n
\displaystyle \sum_{n=0}^{\infty} 3^{n+1} x^{n}
n
=
0
∑
∞
3
n
+
1
x
n
C
∑
n
=
0
∞
3
n
x
n
\displaystyle \sum_{n=0}^{\infty} 3^n x^{n}
n
=
0
∑
∞
3
n
x
n
D
∑
n
=
0
∞
(
−
3
)
n
x
n
\displaystyle \sum_{n=0}^{\infty} (-3)^n x^{n}
n
=
0
∑
∞
(
−
3
)
n
x
n
E
∑
n
=
1
∞
3
n
x
n
\displaystyle \sum_{n=1}^{\infty} 3^n x^{n}
n
=
1
∑
∞
3
n
x
n
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