Question

Max is stacking logs at his campground for firewood. After his first load of logs, he has 12 logs on the stack. After his seventh load of logs, he has 60 logs on the stack. Use sequence notation to represent the arithmetic function.

Answer 1

Answer:

Let L(n) be the function that gives the amount of logs stacked after n loads.

L(n) = 12 + 8(n-1)

Step-by-step explanation:

Let L(n) be the function that gives the amount of logs stacked after n loads.

Let's call for the moment the first load as L(0)

L(0)= 12  

Let r be the number of logs carried in each load, then  

L(n) = 12 + nr

Since L(6) (the seventh load) equals 60, we have

60 = 12 + 6r, and r = 8.

So a function for the number of loads starting from n=0 would be

L(n) = 12 + 8n

If we want to start with n=1, we simply change the variable

L(n) = 12 + 8(n-1) (n=1,2,3,...).

So L(1) = 12, L(2) = 20, L(3) = 28,...L(7) = 60 and so on.