What is the sum from n=0 to infinity of (-1)^n2 ?

The sum from n=0 to infinity of (-1)^n2 is diverges

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sum from n=0 to infinity of (-1)^n2

n = 0 \sum \infty (- 1)^{n} 2

diverges

Solution steps

n = 0 \sum \infty (- 1)^{n} \cdot 2

Apply the constant multiplication rule:

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

= 2 \cdot n = 0 \sum \infty (- 1)^{n}

Apply Series Geometric Test:

diverges

= 2 diverges

= diverges

\frac{21}{x ^{3}}, 1, 1000

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y^{^{''}} + 16 y = 3 sec (4 t)

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\frac{\partial}{\partial L} (- 2 K^{2} + L^{2})

What is the sum from n=0 to infinity of (-1)^n2 ?
The sum from n=0 to infinity of (-1)^n2 is diverges