Determine whether the infinite series converges or diverges

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

Problem

Determine whether the infinite series ∑k=0∞(1.05)k\displaystyle \sum_{k=0}^{\infty} (1.05)^{k} converges or diverges. Briefly justify your conclusion.

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