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(Solved): Use a substitution to shift the summation index so that the general term of the given power series ...
Use a substitution to shift the summation index so that the general term of the given power series involves \( x^{k} \). \[ \begin{array}{c} \sum_{n=1}^{\infty} n c_{n} x^{n+3} \\ \sum_{k=4}^{\infty}\left((k-3) C_{k-3} x^{k} x\right) \end{array} \] ZILLDIFFEQMODAP11 \( 6.1 .035 . \)