What is the sum from n=0 to infinity of 5(2/3)^n ?

The sum from n=0 to infinity of 5(2/3)^n is 15

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sum from n=0 to infinity of 5(2/3)^n

n = 0 \sum \infty 5 (\frac{2}{3})^{n}

15

Solution steps

n = 0 \sum \infty 5 (\frac{2}{3})^{n}

Apply the constant multiplication rule:

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

= 5 \cdot n = 0 \sum \infty (\frac{2}{3})^{n}

Apply Series Geometric Test:

3

= 5 \cdot 3

Simplify

= 15

\int_{1}^{9} (x - x) d x

\frac{d}{d x} (ln (\frac{1 - x}{1 + x}))

f (x) = x^{4} - 8 x^{2} + 5 x + 4, at x = 1

\frac{3 s + 4}{s ^{2} + 10 s + 21}

f^{^{'}} (x) = 16 x

What is the sum from n=0 to infinity of 5(2/3)^n ?
The sum from n=0 to infinity of 5(2/3)^n is 15