Find the radius and interval of convergence for the series

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

Problem

5. Find the radius and interval of convergence for the series ∑n=0∞(5nxn)\sum_{n=0}^{\infty}\left(5^{n} x^{n}\right). Radius Interval (A) 15(−15,15)\frac{1}{5} \quad\left(-\frac{1}{5}, \frac{1}{5}\right) (B) 15(0,15)\frac{1}{5} \quad\left(0, \frac{1}{5}\right) (C) 25(−15,15)\frac{2}{5} \quad\left(-\frac{1}{5}, \frac{1}{5}\right) (D) 25(0,15)\frac{2}{5} \quad\left(0, \frac{1}{5}\right)

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