Answer:
[tex]S_5=\frac{211}{16}[/tex]
Step-by-step explanation:
We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]
