What is True about the convergence of the series \sum_{n=1}^{\infty} 2^{-n-(-1)^n} ?

Question

What is True about the convergence of the series    \sum_{n=1}^{\infty} 2^{-n-(-1)^n} ?

Accepted Answer

It is converging by the Root Test which gives the value 0

Answer

It is inconclusive by the Root Test which gives the value 1

Answer

It is diverging by the Ratio Test which gives the value 2

Answer

It is inconclusive by the Ratio Test which gives the value 1

Answer

It is diverging by the Root Test which gives the value 2

Answer

It is converging by the Ratio Test which gives the value 0

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