which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?\n-10, -12, -14, -16, -18…

Explanation:

Step1: Find the second - term

Given $f(1) = 10$ and $f(n + 1)=f(n)-2$. When $n = 1$, $f(2)=f(1)-2=10 - 2=8$.

Step2: Find the third - term

When $n = 2$, $f(3)=f(2)-2=8 - 2=6$.

Step3: Find the fourth - term

When $n = 3$, $f(4)=f(3)-2=6 - 2=4$.

Step4: Find the fifth - term

When $n = 4$, $f(5)=f(4)-2=4 - 2=2$.

Answer:

D. 10, 8, 6, 4, 2, ...