Question

Sequences help???


Barry has been watching the geese that live in his neighborhood. The number of geese changes each week.

n f(n)
1 56
2 28
3 14
4 7


Which function best shows the relationship between n and f(n)?

f(n) = 28(0.5)^n

f(n) = 56(0.5)^n-1

f(n) = 56(0.5)^n

f(n) = 112(0.5)^n-1

Answer 1

By inspection, I notice that b), will give 56 for n=1, since \(f(1)=56(0.5)^{1-1}=56(0.5)^0=56(1)=56\) Then if you want to be sure, you can test whether n=2, gives 28, etc.

Answer 2

Thank you! sorry for the late reply