Answer:
Step-by-step explanation:
[tex]S_{6}=-120\frac{1-(0.5)^6}{1-0.5}[/tex]
[tex]=-120\frac{1-(\frac{1}{2})^6 }{1-\frac{1}{2} } \\=-120\frac{1-\frac{1}{64} }{\frac{1}{2} } \\=-240*\frac{63}{64} \\=-15*\frac{63}{4} \\=-\frac{945}{4}\\=-236.25[/tex]