Problem 1SP: Skill Practice Write the first four terms of the sequence defined by the n th term. a. bn=2n+3 b.... Problem 2SP: Skill Practice
2. Write the first five terms of the sequence defined by:
Problem 3SP Problem 4SP Problem 5SP Problem 6SP: Skill Practice Write each sum using summation notation. a. 2!7+3!14+4!21++(n+1)!7n b.... Problem 1PE: 1. An infinite ______________ is a function whose domain is the set of positive integers. A... Problem 2PE Problem 3PE: 2. An _________ sequence is a sequence in which consecutive terms alternate in sign.
Problem 4PE Problem 5PE Problem 6PE Problem 7PE Problem 8PE Problem 9PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 10PE Problem 11PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 12PE Problem 13PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 14PE Problem 15PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 16PE Problem 17PE: If the n th term of a sequence is (1)nn2, which terms are positive and which are negative? Problem 18PE Problem 19PE: For Exercises 17-20, the nth term of a sequence is given. Find the indicated term.
17. ; find
Problem 20PE Problem 21PE: For Exercises 17-20, the n th term of a sequence is given. Find the indicated term. cn=5n4; find... Problem 22PE Problem 23PE Problem 24PE Problem 25PE Problem 26PE Problem 27PE: For Exercises 25-30, write the first five terms of the sequence defined recursively, (See Example... Problem 28PE Problem 29PE: For Exercises 25-30, write the first five terms of the sequence defined recursively, (See Example... Problem 30PE Problem 31PE: For Exercises 25-30, write the first five terms of the sequence defined recursively, (See Example... Problem 32PE Problem 33PE: 31. a. Write the first 10 terms of the Fibonacci sequence.
b. The formula gives the nth term of the... Problem 34PE Problem 35PE: For Exercises 33-44, evaluate the expression. (See Example 3) 7! Problem 36PE Problem 37PE: For Exercises 33-44, evaluate the expression. (See Example 3)
35.
Problem 38PE Problem 39PE: For Exercises 33-44, evaluate the expression. (See Example 3)
37.
Problem 40PE: For Exercises 33-44, evaluate the expression. (See Example 3)
38.
Problem 41PE: For Exercises 33-44, evaluate the expression. (See Example 3)
39.
Problem 42PE Problem 43PE: For Exercises 33-44, evaluate the expression. (See Example 3)
41.
Problem 44PE Problem 45PE: For Exercises 33-44, evaluate the expression. (See Example 3) (2n)!(2n+1)! Problem 46PE Problem 47PE: For Exercises 45-48, the n th term of a sequence is given. Find the indicated term. (See Example 4)... Problem 48PE Problem 49PE: For Exercises 45-48, the n th term of a sequence is given. Find the indicated term. (See Example 4)... Problem 50PE Problem 51PE: For Exercises 57-70, find the sum. (See Example 6) i=16(3i4) Problem 52PE Problem 53PE: For Exercises 57-70, find the sum. (See Example 6)
59.
Problem 54PE: For Exercises 57-70, find the sum. (See Example 6) k=13(3k3) Problem 55PE: For Exercises 57-70, find the sum. (See Example 6) j=25(12)j Problem 56PE Problem 57PE: For Exercises 57-70, find the sum. (See Example 6) j=1206 Problem 58PE: For Exercises 57-70, find the sum. (See Example 6)
64.
Problem 59PE: For Exercises 57-70, find the sum. (See Example 6) k=37(1)k(6k) Problem 60PE Problem 61PE: For Exercises 57-70, find the sum. (See Example 6) m=13m+1m Problem 62PE Problem 63PE: For Exercises 57-70, find the sum. (See Example 6)
69.
Problem 64PE: For Exercises 57-70, find the sum. (See Example 6) j=14(j+1)(j1) Problem 65PE: a. Evaluate i=1n(1)i if n is even. b. Evaluate i=1n(1)i if n is odd. Problem 66PE Problem 67PE: Given the sequence defined by an=n22n, find the fifth partial sum. Problem 68PE: 74. Given the sequence defined by , find the fourth partial sum.
Problem 69PE Problem 70PE Problem 71PE Problem 72PE Problem 73PE Problem 74PE: For Exercises 69-74, write an expression for the apparent nth term an for the sequence. For example,... Problem 75PE: For Exercises 75-86, write the sum using summation notation. There may he multiple representations.... Problem 76PE Problem 77PE: For Exercises 75-86, write the sum using summation notation. There may he multiple representations.... Problem 78PE Problem 79PE: For Exercises 75-86, write the sum using summation notation. There may he multiple representations.... Problem 80PE Problem 81PE: For Exercises 75-86, write the sum using summation notation. There may he multiple representations.... Problem 82PE Problem 83PE: For Exercises 75-86, write the sum using summation notation. There may he multiple representations.... Problem 84PE Problem 85PE: For Exercises 75-86, write the sum using summation notation. There may he multiple representations.... Problem 86PE Problem 87PE Problem 88PE Problem 89PE: 89. Prove that .
Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE Problem 96PE Problem 97PE: For Exercises 95–98, determine whether the statement is true or false. If a statement is false,... Problem 98PE Problem 99PE Problem 100PE: 100. A retirement account initially has $500,000 and grows by 5% per year. Furthermore, the account... Problem 101PE Problem 102PE Problem 103PE Problem 104PE Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE Problem 110PE Problem 111PE Problem 112PE Problem 113PE Problem 114PE Problem 115PE Problem 116PE: For Exercises 115-116, use a graphing utility to find the sum. n=38(1)n1(2n) (Exercise 66) Problem 117PE: Using calculus, we can show that the series k=0n1k! approaches e as n approaches infinity.... Problem 118PE: 118. Using calculus, we can show that the series approaches in 1.5 as n approaches infinity.... format_list_bulleted