Mathematics

Mathematics

Problem

Which of the following series has terms that are greater than or equal to 35n+1\dfrac{3}{5^{n}+1} for every integer n≥1n\ge 1? a) ∑n=1∞36n\displaystyle \sum_{n=1}^{\infty} \dfrac{3}{6^{n}} b) ∑n=1∞35n\displaystyle \sum_{n=1}^{\infty} \dfrac{3}{5^{n}} c) ∑n=1∞25n\displaystyle \sum_{n=1}^{\infty} \dfrac{2}{5^{n}} d) ∑n=1∞35n+1\displaystyle \sum_{n=1}^{\infty} \dfrac{3}{5^{n+1}}

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