Answer:
7th position
Explanation:
The first term is f(1) = 8 1/2
So, the second term is:
f(n) = f(n-1) - 1/2
f(2) = f(2-1) - 1/2
f(2) = f(1) - 1/2
f(2) = 8 1/2 - 1/2
f(2) = 8
Then, we can calculate the next terms until we get 5 1/2 as:
[tex]\begin{gathered} f(3)=f(2)-\frac{1}{2}=8-\frac{1}{2}=7\frac{1}{2} \\ f(4)=f(3)-\frac{1}{2}=7\frac{1}{2}-\frac{1}{2}=7 \\ f(5)=f(4)-\frac{1}{2}=7-\frac{1}{2}=6\frac{1}{2} \\ f(6)=f(5)-\frac{1}{2}=6\frac{1}{2}-\frac{1}{2}=6 \\ f(7)=f(6)-\frac{1}{2}=6-\frac{1}{2}=5\frac{1}{2} \end{gathered}[/tex]
So, f(7) is equal to 5 1/2. It means that the position of the term is the 7th position.
