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

Lösung

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

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

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

Geometrischen Test der Reihe anwenden:

\frac{8}{3}

= \frac{8}{3}

n = 5 \sum \infty cos (\frac{1}{n + 1})

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

n = 1 \sum \infty (\frac{4}{25})^{n}

n = 1 \sum \infty \frac{1}{( 1 + n )}

n = 1 \sum \infty \frac{n + 3}{8 ^{n}}