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Power Series Form and Center
Worksheet
Grade Level
Calculus II
CAL2.135 Power Series Form and Center
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A planned table shows nonzero coefficients only for powers k=1,4,7,10,... of \((x-2)
k
\), with coefficients \(1,\frac12,\frac13,\frac14,\ldots\). Which term form matches?
A
\(\sum_{n=0}
\infty
\frac{(x-2)
n+1
}{3n+1}\)
B
\(\sum_{n=0}
\infty
\frac{(x-2)
3n+1
}{n+1}\)
C
\(\sum_{n=1}
\infty
\frac{(x+2)
3n+1
}{n}\)
D
\(\sum_{n=0}
\infty
\frac{(x-2)
3n
}{n+1}\)
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