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Beliebt Rechnen >

sum from n=1 to infinity of (8/9)^n

Lösung

n = 1 \sum \infty (\frac{8}{9})^{n}

Lösung

8

Schritte zur Lösung

n = 1 \sum \infty (\frac{8}{9})^{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{8}{9})^{n} - (\frac{8}{9})^{0}

n = 0 \sum \infty (\frac{8}{9})^{n} = 9

= 9 - (\frac{8}{9})^{0}

Vereinfache

= 8

Beliebte Beispiele

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