sum from k=0 to infinity of (-5/8)^k

Lösung

k = 0 \sum \infty (- \frac{5}{8})^{k}

\frac{8}{13}

Dezimale

0.61538 \dots

Schritte zur Lösung

k = 0 \sum \infty (- \frac{5}{8})^{k}

Geometrischen Test der Reihe anwenden:

\frac{8}{13}

= \frac{8}{13}

n = 1 \sum \infty \frac{1 - n}{n ^{2}}

n = 0 \sum \infty - ln (3 - n)

n = 1 \sum \infty (0.6)^{n}

n = 2 \sum \infty [\frac{2}{5 ^{n}}]

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