Question

The height of a tree grows by four inches every year.Select the recursive rule which represents this situation.

Answer 1

We know that the tree grows by four each inches every year.

Then, we can say that the height of the tree in year n (an) is 4 inches more than the heignth of the tree in year (n-1) (a_n-1).

Then, we can write the recursive rule as:

$a_n=a_{n-1}+4$