Answer:
The first 5 terms of the sequence are 50,25,12.5,6.25,3.125
Step-by-step explanation:
Given that
[tex]a_n=\frac{a_{n-1}}{2}, \texttt{where }a_1=50\texttt{ for n}\geq 2[/tex]
So we have
[tex]a_1=50\\\\a_2=\frac{a_{2-1}}{2}=\frac{a_{1}}{2}=\frac{50}{2}=25\\\\a_3=\frac{a_{3-1}}{2}=\frac{a_{2}}{2}=\frac{25}{2}=12.5\\\\a_4=\frac{a_{4-1}}{2}=\frac{a_{3}}{2}=\frac{12.5}{2}=6.25\\\\a_5=\frac{a_{5-1}}{2}=\frac{a_{4}}{2}=\frac{6.25}{2}=3.125[/tex]
The first 5 terms of the sequence are 50,25,12.5,6.25,3.125
