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Question 54
Mu
Power Series
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Question
If
a
n
+
2
=
a
n
+
1
−
a
n
a_{n+2}=a_{n+1}-a_n
a
n
+
2
=
a
n
+
1
−
a
n
,
a
0
=
2
a_0=2
a
0
=
2
,
a
1
=
3
a_1=3
a
1
=
3
, find
f
(
x
)
=
∑
n
=
0
∞
a
n
x
n
f(x)=\sum_{n=0}^\infty a_nx^n
f
(
x
)
=
∑
n
=
0
∞
a
n
x
n
.
A.
2
+
2
x
1
+
x
−
x
2
\frac{2+2x}{1+x-x^2}
1
+
x
−
x
2
2
+
2
x
B.
2
+
x
1
+
x
−
x
2
\frac{2+x}{1+x-x^2}
1
+
x
−
x
2
2
+
x
C.
2
+
2
x
1
−
x
+
x
2
\frac{2+2x}{1-x+x^2}
1
−
x
+
x
2
2
+
2
x
D.
2
+
x
1
−
x
+
x
2
\frac{2+x}{1-x+x^2}
1
−
x
+
x
2
2
+
x
E.
NOTA
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