Question

A tree is 9 centimeters taller each year than it was the year before. If you write down the height each year, what kind of sequence will you have?

arithmetic, geometric or both or none

Answer 1

Arithmetic sequence.

Explanation:

Suppose we start from a tree 9 cm tall.

Each year the height will increase by 9cm:

So year be year the heights will be:

9, 18, 27, 36 ....

This is an Arithmetic Sequence because it has a common difference of 9.