Explain why the series does not converge to a finite value.

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

Problem

Explain why the series ∑n=1∞2(1.1) n−1\displaystyle \sum_{n=1}^{\infty} 2(1.1)^{\,n-1} does not converge to a finite value.

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