P Prerequisites: Fundamental Concepts Of Algebra 1 Equations And Inequalities 2 Functions And Graphs 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Systems Of Equations And Inequalities 6 Matrices And Determinants 7 Conic Sections 8 Sequences, Induction, And Probability expand_more
8.1 Sequences And Summation Notation 8.2 Arithmetic Sequences 8.3 Geometric Sequences And Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Counting Principles, Permutations, And Combinations 8.7 Probability Chapter Questions expand_more
Problem 1CVC: {an} = a1, a2, a3, a4, , an, represents an infinite ______, a function whose domain is the set of... Problem 2CVC: The nth term of a sequence, represented by an, is called the _________ term. Problem 3CVC: an = 5n 6 ___ Problem 4CVC: an=(1)n4n1 ____ Problem 5CVC Problem 6CVC: 5!, called 5 _______, is the product of all positive integers from ______ down through _____. By... Problem 7CVC: (n+3)!(n+2)!= ____ Problem 8CVC: i=1nai=++++. In this summation notation, i is called the ________ of summation, n is the __________... Problem 1PE: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an = 3n... Problem 2PE: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an = 4n ... Problem 3PE Problem 4PE Problem 5PE: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an = (-... Problem 6PE Problem 7PE: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an =... Problem 8PE Problem 9PE: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an=2nn+4 Problem 10PE Problem 11PE Problem 12PE Problem 13PE: The sequences in Exercises 18 are defined using recursion formulas. Write the first four terms of... Problem 14PE Problem 15PE Problem 16PE Problem 17PE: The sequences in Exercises 13-18 are defined using recursion formulas. Write the first four terms of... Problem 18PE Problem 19PE: In Exercises 19-22, the general term of a sequence is given and involves a factorial. Write the... Problem 20PE Problem 21PE: In Exercises 19-22, the general term of a sequence is given and involves a factorial. Write the... Problem 22PE Problem 23PE: In Exercises 28, evaluate each factorial expression. 17!15! Problem 24PE: In Exercises 23-28, evaluate each factorial expression. 18!16! Problem 25PE: In Exercises 23-28, evaluate each factorial expression. 16!2!14! Problem 26PE Problem 27PE: In Exercises 23-28, evaluate each factorial expression. (n+2)!n! Problem 28PE Problem 29PE: In Exercises 42, find each indicated sum. i=165i Problem 30PE Problem 31PE Problem 32PE Problem 33PE: In Exercises 29-42, find each indicated sum. k=15k(k+4) Problem 34PE: In Exercises 29-42, find each indicated sum. k=14(k3)(k+2) Problem 35PE Problem 36PE: In Exercises 29-42, find each indicated sum. i=24(13)i Problem 37PE: In Exercises 29-42, find each indicated sum. i=5911 Problem 38PE Problem 39PE Problem 40PE Problem 41PE: In Exercises 29-42, find each indicated sum. i=15i!(i1)! Problem 42PE Problem 43PE: In Exercises 54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 44PE: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 45PE: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 46PE Problem 47PE: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 48PE Problem 49PE: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 50PE Problem 51PE Problem 52PE: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 53PE: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 54PE: In Exercises 43- express each sum using summation notation. Use 1 as the lower limit of summation... Problem 55PE Problem 56PE Problem 57PE Problem 58PE Problem 59PE Problem 60PE Problem 61PE Problem 62PE Problem 63PE Problem 64PE Problem 65PE: In Exercises 6168, use the graphs of {an} and {bn} to find each indicated sum. i=45(aibi)2 Problem 66PE Problem 67PE: In Exercises 6168, use the graphs of {an} and {bn} to find each indicated sum. i=15ai2+i=15bi2 Problem 68PE: In Exercises 61 use the graphs of {an} and {bn} to find each indicated sum. i=15ai2i=35bi2 Problem 69PE Problem 70PE Problem 71PE Problem 72PE Problem 73PE: What is a sequence? Give an example with your description. Problem 74PE Problem 75PE: What does the graph of a sequence look like? How is it obtained? Problem 76PE: What is a recursion formula? Problem 77PE: Explain how to find n! if n is a positive integer. Problem 78PE: Explain the best way to evaluate 900!899! without a calculator. Problem 79PE Problem 80PE Problem 81PE: In Exercises 85, use a calculator's factorial key to evaluate each expression. 200!198! Problem 82PE Problem 83PE Problem 84PE Problem 85PE Problem 86PE Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE: Make Sense? In Exercises #x2013;96, determine whether each statement makes sense or does not make... Problem 94PE: Make Sense? In Exercises 9396, determine whether each statement makes sense or does not make sense,... Problem 95PE: Make Sense? In Exercises 9396, determine whether each statement makes sense or does not make sense,... Problem 96PE: Make Sense? In Exercises 93 determine whether each statement makes sense or does not make sense, and... Problem 97PE: In Exercises #x2013;100, determine whether each statement is true or false. If the statement is... Problem 98PE Problem 99PE Problem 100PE: In Exercises 97 determine whether each statement is true or false. If the statement is false, make... Problem 101PE: Write the first five terms of the sequence whose first term is 9 and whose general term is an={... Problem 102PE Problem 103PE Problem 104PE: Exercises 106108 will help you prepare for the material covered in the next section. Consider the... Problem 105PE: Exercises 106will help you prepare for the material covered in the next section. Use the formula an... format_list_bulleted