What is the sum from n=1 to infinity of n(5/3)^n ?

The sum from n=1 to infinity of n(5/3)^n is diverges

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sum from n=1 to infinity of n(5/3)^n

n = 1 \sum \infty n (\frac{5}{3})^{n}

diverges

Solution steps

n = 1 \sum \infty n (\frac{5}{3})^{n}

Apply Series Ratio Test:

diverges

= diverges

z^{i}

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

x \to 1 - lim (\frac{1}{x})

\int \frac{8}{( x - 2 ) ( x + 6 )} d x

y = 9 x^{2} - x^{e}

What is the sum from n=1 to infinity of n(5/3)^n ?
The sum from n=1 to infinity of n(5/3)^n is diverges