Arrays allow us to store multiple values of the same type under a common name. There are different types of arrays including one-dimensional, two-dimensional, and multi-dimensional arrays. One-dimensional arrays use a single subscript and store values in a linear fashion. Two-dimensional arrays are arrays that have multiple rows and columns like a matrix. Multi-dimensional arrays have multiple subscripts and can store values in multiple dimensions. Programs demonstrate how to declare, initialize, and access values in arrays of different types.