∴[tex]\frac{1}{2} +2+8+32.......12^{th}term[/tex] =2796202.5
Step-by-step explanation:
First term(a) = [tex]\frac{1}{2}[/tex] common ratio(r) =[tex]\frac{2}{\frac{1}{2} }[/tex] =4
n= 12
[tex]S_{n}=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1}[/tex] =2796202.5
∴[tex]\frac{1}{2} +2+8+32.......12^{th}term[/tex] =2796202.5
