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Si $2 < a < 3$, $S_1 = \sum_{n=0}^{\infty} \frac{a^n}{2^n}$ y $S_2 = \sum_{n=0}^{\infty} \frac{a^n}{3^n}$ entonces:
$\circ$ ambas series divergen
$\circ$ $S_1$ diverge y $S_2$ converge
$\circ$ ambas series convergen
$\circ$ $S_1$ converge y $S_2$ diverge