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Beliebt Rechnen >

sum from n=1 to infinity of (2/3)^n

Lösung

n = 1 \sum \infty (\frac{2}{3})^{n}

Lösung

2

Schritte zur Lösung

n = 1 \sum \infty (\frac{2}{3})^{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{2}{3})^{n} - (\frac{2}{3})^{0}

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

= 3 - (\frac{2}{3})^{0}

Vereinfache

= 2

Beliebte Beispiele

(dy)/(dx)=(2x+sec^2(x))/(2y)

integral from-1 to 2 of 1+x^2

derivative of cos(x+xsin(x))

derivative f(x)=8sin^3(sqrt(x))