Question

Write the first four terms of a sequence given the recursive rule below:f(n) = f(n - 1) – 4, for all n >= 2 and f(1) = 32A. 32, 28, 24, 20B.not enough informationC.32, 27, 22, 17D.32, 31, 30,29

Answer 1

Given the information about f(n), the first four terms would be:

$\begin{gathered} f(n)=f(n-1)-4\text{ for all n}\ge2 \\ f(1)=32 \\ f(2)=f(2-1)-4=f(1)-4=32-4=28 \\ f(3)=f(3-1)-4=f(2)-4=28-4=24 \\ f(4)=f(4-1)-4=f(3)-4=24-4=20 \end{gathered}$

Therefore, the sequence is 32,28,24,20