What is the sum from k=0 to infinity of 1/(2^k) ?

The sum from k=0 to infinity of 1/(2^k) is 2

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sum from k=0 to infinity of 1/(2^k)

k = 0 \sum \infty \frac{1}{2 ^{k}}

2

Solution steps

k = 0 \sum \infty \frac{1}{2 ^{k}}

Apply Series Geometric Test:

2

= 2

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What is the sum from k=0 to infinity of 1/(2^k) ?
The sum from k=0 to infinity of 1/(2^k) is 2