Final answer:
This question is related to a mathematical concept called arithmetic progression, specifically adding 500 books each year to a library with 8000 books.
Step-by-step explanation:
Subject: Mathematics
This question is related to a mathematical concept called arithmetic progression. An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant. In this case, the library is adding 500 books each year, so the number of books can be expressed as an arithmetic progression.
To find the total number of books in the library after a certain number of years, you can use the formula: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the number of terms (years), and d is the common difference (500 in this case).
Using this formula, you can calculate the total number of books in the library after a given number of years by substituting the values into the formula.