The series continues indefinitely

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

Problem

The series 5+5(1.1)+5(1.1)2+5(1.1)3+…5+5(1.1)+5(1.1)^{2}+5(1.1)^{3}+\dots continues indefinitely. Determine whether this series converges or diverges, and give a brief justification.

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