I&C SCI 6D Chapter Notes - Chapter 8: Arithmetic Progression, Geometric Progression, Sequence
Document Summary
A sequence is a special type of function in which the domain is a consecutive set of integers. Can be defined to denote a student"s gpa for each of the four years. Domain is {1,2,3,4} for the 4 years. K is the index and gk is a term. The sequence can just be written as 3. 67, Entire sequence is denoted by {gk}, whereas gk is used to denote a single term in the sequence. First index is commonly 0 or 1, but can start with any integer. A sequence with a finite domain is called a finite sequence. There is an initial index m and a final index n which must be greater than or equal to m. Am is the initial term and an is the final term. A sequence with an infinite domain is called an infinite sequence. Indices go to infinity in the positive direction.