What is the sum from n=0 to infinity of n/3 ?

The sum from n=0 to infinity of n/3 is diverges

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sum from n=0 to infinity of n/3

n = 0 \sum \infty \frac{n}{3}

diverges

Solution steps

n = 0 \sum \infty \frac{n}{3}

Apply the constant multiplication rule:

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

= \frac{1}{3} \cdot n = 0 \sum \infty n

Apply Series Divergence Test:

diverges

= \frac{1}{3} diverges

= diverges

\int_{0}^{\frac{π}{2}} cos^{2} (t) d t

x \to 0 + lim (x^{2} + 4)

\int x e^{e} d x

\int_{5}^{5} 10 x^{4} d x

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 4 ) ( x ^{2} + 4 x + 16 )}{x ^{3}})

What is the sum from n=0 to infinity of n/3 ?
The sum from n=0 to infinity of n/3 is diverges