What is the sum from n=0 to infinity of-n/2 ?

The sum from n=0 to infinity of-n/2 is diverges

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sum from n=0 to infinity of-n/2

n = 0 \sum \infty - \frac{n}{2}

diverges

Solution steps

n = 0 \sum \infty - \frac{n}{2}

Apply the constant multiplication rule:

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

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

Apply Series Divergence Test:

diverges

= - \frac{1}{2} diverges

= diverges

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What is the sum from n=0 to infinity of-n/2 ?
The sum from n=0 to infinity of-n/2 is diverges