In 11 and 12 rewrite the given expression as a single

Chapter 6, Problem 27E

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QUESTION:

In Problems 25–30 proceed as in Example 3 to rewrite the given expression using a single power series whose general term involve \(x^{k}\).

\(\sum_{n=1}^{\infty} 2 n c_{n} x^{n-1}+\sum_{n=0}^{\infty} 6 c_{n} x^{n+1}\)

Text Transcription:

sum_n=1^infty2nc_nx^n-1+sum_n=0^infty6c_nx^n+1

Questions & Answers

QUESTION:

In Problems 25–30 proceed as in Example 3 to rewrite the given expression using a single power series whose general term involve \(x^{k}\).

\(\sum_{n=1}^{\infty} 2 n c_{n} x^{n-1}+\sum_{n=0}^{\infty} 6 c_{n} x^{n+1}\)

Text Transcription:

sum_n=1^infty2nc_nx^n-1+sum_n=0^infty6c_nx^n+1

ANSWER:

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In this question we have to rewrite the given expression using a single power series whose general term involves

 

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