An Arithmetic Progression is a sequence of numbers in which each term (after the first) is obtained by adding a fixed number, called the common difference (d), to the preceding term.
First Term (a): The starting number of the sequence.
Common Difference (d): The fixed value added to each term. It can be positive, negative, or zero.
Formula: d = a_2 - a_1 = a_3 - a_2
General Form: a, a+d, a+2d, a+3d, \dots
2. Key Formulas to Remember
To master this chapter, you must be comfortable with these two primary formulas:
A. Finding the n^{th} Term (a_n)
This formula helps you find any specific term in the sequence without writing the whole list.