What is the sum from n=0 to infinity of (4n)/(-4n+7) ?

The sum from n=0 to infinity of (4n)/(-4n+7) is diverges

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sum from n=0 to infinity of (4n)/(-4n+7)

n = 0 \sum \infty \frac{4 n}{- 4 n + 7}

diverges

Solution steps

n = 0 \sum \infty \frac{4 n}{- 4 n + 7}

Apply the constant multiplication rule:

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

= 4 \cdot n = 0 \sum \infty \frac{n}{- 4 n + 7}

Apply Series Divergence Test:

diverges

= 4 diverges

= diverges

3 x - 1, x^{2} + 1, 1, 2

f (x) = 30 + 10 e^{- 0.05 x}

cos^{2} (t)

\frac{\partial}{\partial x} (7 e^{x y} \cdot cos (x yz))

x \to 0 lim (\frac{f ( x )}{x})

What is the sum from n=0 to infinity of (4n)/(-4n+7) ?
The sum from n=0 to infinity of (4n)/(-4n+7) is diverges