Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Skill Practice - Page 823: 6

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Here we have $S_1=\frac{1}{4}; \\S_2=\frac{1}{4}+\dfrac{5}{4}=1.5; \\S_3=\frac{1}{4}+\dfrac{5}{4}+\dfrac{25}{4}=6.25; \\S_4=\frac{1}{4}+\dfrac{5}{4}+\dfrac{25}{4}+\dfrac{125}{4}=39; \\ S_5=\frac{1}{4}+\dfrac{5}{4}+\dfrac{25}{4}+\dfrac{125}{4}+\dfrac{625}{4}=195.25$. Thus, as $n$ increases $S_n$ also increases, and the value approaches $\infty$ as $n \to \infty$