
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In response to the national call for all citizens to read, the community encourages residents to borrow books from the community reading room and records the number of borrowers and the total number of books borrowed each year (unit: books). The total number of books borrowed in the reading room was 7500 books in 2015 and 10800 books in 2017.  
$(1)$ Calculate the average annual growth rate of the total number of books borrowed in the community from 2015 to 2017.  
$(2)$ If the growth rate is the same every year, how many books are expected to be borrowed in 2018?

Present the answer in LaTex format: \boxed{Your answer}
user