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Beliebt Rechnen >

sum from n=1 to infinity of (3/5)^n

Lösung

n = 1 \sum \infty (\frac{3}{5})^{n}

Lösung

\frac{3}{2}

+1

Dezimale

1.5

Schritte zur Lösung

n = 1 \sum \infty (\frac{3}{5})^{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}{5})^{n} - (\frac{3}{5})^{0}

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

= \frac{5}{2} - (\frac{3}{5})^{0}

Vereinfache

\frac{5}{2} - (\frac{3}{5})^{0} : \frac{3}{2}

= \frac{3}{2}

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