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 1E: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an = 3n... Problem 2E: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an = 4n ... Problem 3E Problem 4E Problem 5E: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an = (-... Problem 6E Problem 7E: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an =... Problem 8E Problem 9E: In Exercises 1-12, write the first four terms of each sequence whose general term is given. an=2nn+4 Problem 10E Problem 11E Problem 12E Problem 13E: The sequences in Exercises 18 are defined using recursion formulas. Write the first four terms of... Problem 14E Problem 15E Problem 16E Problem 17E: The sequences in Exercises 13-18 are defined using recursion formulas. Write the first four terms of... Problem 18E Problem 19E: In Exercises 19-22, the general term of a sequence is given and involves a factorial. Write the... Problem 20E Problem 21E: In Exercises 19-22, the general term of a sequence is given and involves a factorial. Write the... Problem 22E Problem 23E: In Exercises 28, evaluate each factorial expression. 17!15! Problem 24E: In Exercises 23-28, evaluate each factorial expression. 18!16! Problem 25E: In Exercises 23-28, evaluate each factorial expression. 16!2!14! Problem 26E Problem 27E: In Exercises 23-28, evaluate each factorial expression. (n+2)!n! Problem 28E Problem 29E: In Exercises 42, find each indicated sum. i=165i Problem 30E Problem 31E Problem 32E Problem 33E: In Exercises 29-42, find each indicated sum. k=15k(k+4) Problem 34E: In Exercises 29-42, find each indicated sum. k=14(k3)(k+2) Problem 35E Problem 36E: In Exercises 29-42, find each indicated sum. i=24(13)i Problem 37E: In Exercises 29-42, find each indicated sum. i=5911 Problem 38E Problem 39E Problem 40E Problem 41E: In Exercises 29-42, find each indicated sum. i=15i!(i1)! Problem 42E Problem 43E: In Exercises 54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 44E: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 45E: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 46E Problem 47E: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 48E Problem 49E: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 50E Problem 51E Problem 52E: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 53E: In Exercises 43-54, express each sum using summation notation. Use 1 as the lower limit of summation... Problem 54E: In Exercises 43- express each sum using summation notation. Use 1 as the lower limit of summation... Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E: In Exercises 6168, use the graphs of {an} and {bn} to find each indicated sum. i=45(aibi)2 Problem 66E Problem 67E: In Exercises 6168, use the graphs of {an} and {bn} to find each indicated sum. i=15ai2+i=15bi2 Problem 68E: In Exercises 61 use the graphs of {an} and {bn} to find each indicated sum. i=15ai2i=35bi2 Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E: What is a sequence? Give an example with your description. Problem 74E Problem 75E: What does the graph of a sequence look like? How is it obtained? Problem 76E: What is a recursion formula? Problem 77E: Explain how to find n! if n is a positive integer. Problem 78E: Explain the best way to evaluate 900!899! without a calculator. Problem 79E Problem 80E Problem 81E: In Exercises 85, use a calculator's factorial key to evaluate each expression. 200!198! Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E: Make Sense? In Exercises #x2013;96, determine whether each statement makes sense or does not make... Problem 94E: Make Sense? In Exercises 9396, determine whether each statement makes sense or does not make sense,... Problem 95E: Make Sense? In Exercises 9396, determine whether each statement makes sense or does not make sense,... Problem 96E: Make Sense? In Exercises 93 determine whether each statement makes sense or does not make sense, and... Problem 97E: In Exercises #x2013;100, determine whether each statement is true or false. If the statement is... Problem 98E Problem 99E Problem 100E: In Exercises 97 determine whether each statement is true or false. If the statement is false, make... Problem 101E: Write the first five terms of the sequence whose first term is 9 and whose general term is an={... Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E: Exercises 106108 will help you prepare for the material covered in the next section. Consider the... Problem 108E: Exercises 106will help you prepare for the material covered in the next section. Use the formula an... format_list_bulleted