Solved: ?If $\sum_{n=0}^{\infty} c_{n} 4^{n}$ is convergent, can we conclude that each

Chapter 11, Problem 37

(choose chapter or problem)

If $\sum_{n=0}^{\infty} c_{n} 4^{n}$ is convergent, can we conclude that each of the following series is convergent?

(a) $\sum_{n=0}^{\infty} c_{n}(-2)^{n}$ (b) $\sum_{n=0}^{\infty} c_{n}(-4)^{n}$

Equation Transcription:

$\sum\limits_{n=0}^{\infty{}}{c}_{n}{4}^{n}$

$\sum\limits_{n=0}^{\infty{}} {c}_{n}(-2{)}^{n}$

$\sum\limits_{n=0}^{\infty{}} {c}_{n}(-4{)}^{n}$ $\$

Text Transcription:

sum of n=0^infinity c_n 4^n

sum of n=0^infinity c_n(-2)^n

sum of n=0^infinity c_n(-4)^n

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Solved: ?If \(\sum_{n=0}^{\infty} c_{n} 4^{n}\) is convergent, can we conclude that each