What is the sum from n=0 to infinity of 5*3^n ?

The sum from n=0 to infinity of 5*3^n is diverges

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sum from n=0 to infinity of 5*3^n

n = 0 \sum \infty 5 \cdot 3^{n}

diverges

Solution steps

n = 0 \sum \infty 5 \cdot 3^{n}

Apply the constant multiplication rule:

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

= 5 \cdot n = 0 \sum \infty 3^{n}

Apply Series Geometric Test:

diverges

= 5 diverges

= diverges

f (x) = (x^{2} - 1) (x^{2} + 1)

n = 1 \sum \infty \frac{x ^{n}}{1 1 ^{n}}

\int 2 (x - 2) d x

\int cos (t - x) d x

f (x) = 7 x - 5

What is the sum from n=0 to infinity of 5*3^n ?
The sum from n=0 to infinity of 5*3^n is diverges