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Beliebt Rechnen >

sum from n=0 to infinity of (2^n)/(8^n)

Lösung

n = 0 \sum \infty \frac{2 ^{n}}{8 ^{n}}

Lösung

\frac{4}{3}

+1

Dezimale

1.33333 \dots

Schritte zur Lösung

n = 0 \sum \infty \frac{2 ^{n}}{8 ^{n}}

Vereinfache

\frac{2 ^{n}}{8 ^{n}} : (\frac{1}{4})^{n}

= n = 0 \sum \infty (\frac{1}{4})^{n}

Geometrischen Test der Reihe anwenden:

\frac{4}{3}

= \frac{4}{3}

Beliebte Beispiele

derivative of 4x+3/x

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derivative of 8x-3/x

\frac{d}{d x} (8 x - \frac{3}{x})

derivative of e^xx^2-e^x

\frac{d}{d x} (e^{x} x^{2} - e^{x})

integral of (8-128x)/(sqrt(81-64x^2))

\int \frac{8 - 128 x}{81 - 64 x ^{2}} d x