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Beliebt Rechnen >

sum from n=1 to infinity of 0.3^n

Lösung

n = 1 \sum \infty 0. 3^{n}

Lösung

0.42857 \dots

Schritte zur Lösung

n = 1 \sum \infty 0. 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 0. 3^{n} - 0. 3^{0}

n = 0 \sum \infty 0. 3^{n} = 1.42857 \dots

= 1.42857 \dots - 0. 3^{0}

Vereinfache

= 0.42857 \dots

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