6. A company which makes batteries for electric cars has a 10 -year plan for growth.

• In year 1 the company will make 2600 batteries
• In year 10 the company aims to make 12000 batteries

In order to calculate the number of batteries it will need to make each year, from year 2 to year 9 , the company considers the following model: \section*{the number of batteries made will increase by the same percentage each year} Showing detailed reasoning, calculate the total number of batteries made from year 1 to year 10.