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If ∑∞ n=0 cn 4^n is convergent, does it follow that the following series are convergent?...

If ∑∞ n=0 cn 4^n is convergent, does it follow that the following series are convergent?

Please show me with the detailed process of solving.

(a) ∑∞ n=0 cn(-2)^n

(b) ∑∞ n=0 cn(-4)^n

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