Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Skill Practice - Page 823: 5

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Here we have $S_1=4; \\S_2=4+\dfrac{12}{5}=6.4 ; \\S_3=4+\dfrac{12}{5}+\dfrac{36}{25}=7.84; \\S_4=4+\dfrac{12}{5}+\dfrac{36}{25}+\dfrac{108}{125}=8.7; \\ S_5=4+\dfrac{12}{5}+\dfrac{36}{25}+\dfrac{108}{125}+\dfrac{324}{625}=9.22$. Thus, as $n$ increases $S_n$ also increases, and the value approaches $10$ as $n \to \infty$