Question

A recursive function is shown below: f(1) = 4 and f(n) = f(n - 1) - 8; n > 1 Which of the following lists the terms in the sequence defined by this recursive function? f(1) = 4 and f(n) = f(n - 1) - 8; n > 1 Which of the following lists the terms in the sequence defined by this recursive function? 4, -4, -12, -20, -28, ... 4, 4, 12, 20, 28, ... 4, 12, 20, 28, 36, ... 4, -12, -20, -28, -36, ... need help

Answer 1

`\left \{ {{f(1)=4} \atop {f(n)=f(n-1)-8 \hbox{ for } n\ \textgreater \ 1}} \right. \\ \\ f(1)=4 \\ f(2)=f(2-1)-8=f(1)-8=4-8=-4 \\ f(3)=f(3-1)-8=f(2)-8=-4-8=-12 \\ f(4)=f(4-1)-8=f(3)-8=-12-8=-20 \\ f(5)=f(5-1)-8=f(4)-8=-20-8=-28`

The sequence is 4, -4, -12, -20, -28, ...