STAT 2000 Lecture Notes - Lecture 1: Geometric Progression

• School: Memorial University
• Department: Mathematics
• Course: STAT 2000
• Professor: Dr.Sullivan

Document Summary

A sequence is a list of terms put in a definite order. Four our purposes, the terms will be real numbers. Ex: {10, -2, -5, 0, 1/2} is a finite sequence. We will be more interested in infinite sequences, which include an infinite number of terms. Ex: the sequence which consists of the first 10 digits of is. More often, a formula can be used to determine each term in the sequence. Ex: the sequence which consists of the first 100 positive multiples of 2 has 2i as the ith term. Ex: the sequence of all positive multiples of 2 is. More compactly, we can refer to a sequence {ai} where a is the label and i is the index. Ex: {ai} = {(cid:1006)i} = {(cid:1006), (cid:1008), (cid:1010), (cid:1012), (cid:1005)(cid:1004), } For a finite sequence our notation becomes {ai}i = 1 = {a1, a2, a3, , an}