For the infinite series

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For the infinite series ∑n=0∞12 (−5)n7 n+1\displaystyle\sum_{n=0}^{\infty}\dfrac{12\,(-5)^{n}}{7^{\,n+1}}, state the common ratio rr and indicate whether the series converges or diverges.

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