Master Arithmetic Progressions

The nth term formula for an arithmetic progression is given by $a_n = a_1 + (n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, n is the term number, and d is the common difference.

An arithmetic progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

The sum formula for an arithmetic progression is given by $S_n = rac{n}{2}(a_1 + a_n)$, where $S_n$ is the sum of the first n terms, $a_1$ is the first term, $a_n$ is the nth term, and n is the number of terms.

An example of an arithmetic progression is the series of natural numbers: 1, 2, 3, 4, 5, 6, ...

Some real-life examples of arithmetic progressions are roll numbers of students in a class, days in a week, and months in a year.