Which of the following series has terms that are greater than or equal to for every…

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Which of the following series has terms that are greater than or equal to

\dfrac{3}{5^{n}+1}

for every integer

n\ge 1

? (a)

\displaystyle \sum_{n=1}^{\infty} \dfrac{3}{6^{n}}

(b)

\displaystyle \sum_{n=1}^{\infty} \dfrac{3}{5^{n}}

(c)

\displaystyle \sum_{n=1}^{\infty} \dfrac{2}{5^{n}}

(d)

\displaystyle \sum_{n=1}^{\infty} \dfrac{3}{5^{n+1}}