What is the sum from n=3 to infinity of 2^{-n+2} ?

The sum from n=3 to infinity of 2^{-n+2} is converges

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sum from n=3 to infinity of 2^{-n+2}

n = 3 \sum \infty 2^{- n + 2}

converges

Solution steps

n = 3 \sum \infty 2^{- n + 2}

Apply Series Ratio Test:

converges

= converges

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What is the sum from n=3 to infinity of 2^{-n+2} ?
The sum from n=3 to infinity of 2^{-n+2} is converges