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Beliebt Rechnen >

sum from n=1 to infinity of (3/4)^n

Lösung

n = 1 \sum \infty (\frac{3}{4})^{n}

Lösung

3

Schritte zur Lösung

n = 1 \sum \infty (\frac{3}{4})^{n}

n = k \sum \infty (a_{n}) = n = 0 \sum \infty (a_{n}) - a_{0} - a_{1} - \dots a_{k - 1}

= n = 0 \sum \infty (\frac{3}{4})^{n} - (\frac{3}{4})^{0}

n = 0 \sum \infty (\frac{3}{4})^{n} = 4

= 4 - (\frac{3}{4})^{0}

Vereinfache

= 3

Beliebte Beispiele

integral of e^{4x}cos(5x)

\int e^{4 x} cos (5 x) d x

fläche 1/(14x^2), x/4 ,0,\sqrt[3]{1/14}

a re a \frac{1}{14 x ^{2}}, \frac{x}{4}, 0, 3 \frac{1}{14}

limit as x approaches 2+of (-4-x)/(7x-2)

x \to 2 + lim (\frac{- 4 - x}{7 x - 2})

integral of 3x^2-2x+3

\int 3 x^{2} - 2 x + 3 d x

derivative of-1/3 x^3

\frac{d}{d x} (- \frac{1}{3} x^{3})