What is the sum from n=0 to infinity of (n+6)/6 ?

The sum from n=0 to infinity of (n+6)/6 is diverges

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sum from n=0 to infinity of (n+6)/6

n = 0 \sum \infty \frac{n + 6}{6}

diverges

Solution steps

n = 0 \sum \infty \frac{n + 6}{6}

Apply the constant multiplication rule:

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

= \frac{1}{6} \cdot n = 0 \sum \infty n + 6

Apply Series Divergence Test:

diverges

= \frac{1}{6} diverges

= diverges

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What is the sum from n=0 to infinity of (n+6)/6 ?
The sum from n=0 to infinity of (n+6)/6 is diverges