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

Lösung

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

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

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

Geometrischen Test der Reihe anwenden:

\frac{8}{3}

= \frac{8}{3}

n = 0 \sum \infty \frac{e ^{n}}{n ^{3}}

n = 1 \sum \infty (- 6)^{- n}

n = 1 \sum \infty \frac{1}{4 ^{n - 1}}

n = 0 \sum \infty \frac{1}{6 + n}

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