Arithmetic Progressions

An Arithmetic Progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference (d). The nth term of an AP can be expressed as a_n = a + (n-1)d, where 'a' is the first term. The sum of the first n terms (S_n) is given by S_n = n/2 [2a + (n-1)d]. APs have applications in various fields, including finance and computer science, and are fundamental in understanding linear relationships in mathematics.