# The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing at the rate of 6% per year. If the coin is worth $135 now, what will it be worth in 12 years?

##### 1 Answer

Apr 8, 2018

The coin will be worth

#### Explanation:

We could model this by a geometric sequence,

We know the first term in our sequence, when

Furthermore, we're told that the value of the coin increases by

So, the common ratio is

So, we can define our sequence as

Then, after

The coin will be worth