What is the sum from n=1 to infinity of 1/2 n ?

The sum from n=1 to infinity of 1/2 n is diverges

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sum from n=1 to infinity of 1/2 n

n = 1 \sum \infty \frac{1}{2} n

diverges

Solution steps

n = 1 \sum \infty \frac{1}{2} n

Apply the constant multiplication rule:

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

= \frac{1}{2} \cdot n = 1 \sum \infty n

Apply Series Divergence Test:

diverges

= \frac{1}{2} diverges

= diverges

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What is the sum from n=1 to infinity of 1/2 n ?
The sum from n=1 to infinity of 1/2 n is diverges