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Beliebt Rechnen >

sum from n=0 to infinity of 5^{-n}

Lösung

n = 0 \sum \infty 5^{- n}

Lösung

\frac{5}{4}

+1

Dezimale

1.25

Schritte zur Lösung

n = 0 \sum \infty 5^{- n}

Vereinfache

5^{- n} : \frac{1}{5 ^{n}}

= n = 0 \sum \infty \frac{1}{5 ^{n}}

Geometrischen Test der Reihe anwenden:

\frac{5}{4}

= \frac{5}{4}

Beliebte Beispiele

derivative of ln(1+8x)

\frac{d}{d x} (ln (1 + 8 x))

limit as x approaches 1+of 1/(x^2+1)

x \to 1 + lim (\frac{1}{x ^{2} + 1})

(\partial)/(\partial y)(e^{xe^y})

\frac{\partial}{\partial y} (e^{x e^{y}})

integral of (1-y^2)

\int (1 - y^{2}) d y

y^{''}+7y^'+10y=-18te^{2t}

y^{^{''}} + 7 y^{^{'}} + 10 y = - 18 t e^{2 t}