What is the sum from n=0 to infinity of (2^n)/(100) ?

The sum from n=0 to infinity of (2^n)/(100) is diverges

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sum from n=0 to infinity of (2^n)/(100)

n = 0 \sum \infty \frac{2 ^{n}}{100}

diverges

Solution steps

n = 0 \sum \infty \frac{2 ^{n}}{100}

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= \frac{1}{100} \cdot n = 0 \sum \infty 2^{n}

Apply Series Geometric Test:

diverges

= \frac{1}{100} diverges

= diverges

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What is the sum from n=0 to infinity of (2^n)/(100) ?
The sum from n=0 to infinity of (2^n)/(100) is diverges