Solved: In 11 and 12 rewrite the given expression as a

Chapter 6, Problem 30E

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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 \(x^{k}\).

\(\sum_{n=2}^{\infty} n(n-1) c_{n} x^{n}+2 \sum_{n=2}^{\infty} n(n-1) c_{n} x^{n-2}+3 \sum_{n=1}^{\infty} n c_{n} x^{n}\)

Text Transcription:

sum_n=2^inftyn(n-1)c_nx^n+2sum_n=2^inftyn(n-1)c_nx^n-2}+3sum_n=1^inftync_nx^n

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 \(x^{k}\).

\(\sum_{n=2}^{\infty} n(n-1) c_{n} x^{n}+2 \sum_{n=2}^{\infty} n(n-1) c_{n} x^{n-2}+3 \sum_{n=1}^{\infty} n c_{n} x^{n}\)

Text Transcription:

sum_n=2^inftyn(n-1)c_nx^n+2sum_n=2^inftyn(n-1)c_nx^n-2}+3sum_n=1^inftync_nx^n

ANSWER:

Step 1 of 4

Given that

we have to write the expression again using a single power series whose general term involves

 

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