Problem 1E: An infinite sequence is a function whose domain is the set of .
Problem 2E: If a sequence is defined by , then = .
Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: In Exercises 9-28, write the first four terms of each sequence.
9.
Problem 10E: In Exercises 9-28, write the first four terms of each sequence.
10.
Problem 11E: In Exercises 9-28, write the first four terms of each sequence.
11.
Problem 12E: In Exercises 9-28, write the first four terms of each sequence.
12.
Problem 13E: In Exercises 9-28, write the first four terms of each sequence.
13.
Problem 14E: In Exercises 9-28, write the first four terms of each sequence.
14.
Problem 15E: In Exercises 9-28, write the first four terms of each sequence.
15.
Problem 16E: In Exercises 9-28, write the first four terms of each sequence.
16.
Problem 17E Problem 18E Problem 19E: In Exercises 9-28, write the first four terms of each sequence.
19.
Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
29.
Problem 30E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
30.
Problem 31E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
31.
Problem 32E Problem 33E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
33.
Problem 34E Problem 35E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
35.
Problem 36E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
36.
Problem 37E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
37.
Problem 38E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
38.
Problem 39E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
39.
Problem 40E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
40.
Problem 41E:
In Exercises 29-42, write a general term for each sequence. Assume that n begins with 1.
41.
Problem 42E Problem 43E:
In Exercises 43-52, write the first time five terms of each recursively defined sequence.
43.
Problem 44E Problem 45E:
In Exercises 43-52, write the first time five terms of each recursively defined sequence.
45.
Problem 46E Problem 47E Problem 48E:
In Exercises 43-52, write the first time five terms of each recursively defined sequence.
48.
Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E: In Exercises 59-66, simplify the factorial expression.
59.
Problem 60E Problem 61E: In Exercises 59-66, simplify the factorial expression.
61.
Problem 62E Problem 63E: In Exercises 59-66, simplify the factorial expression.
63.
Problem 64E Problem 65E: In Exercises 59-66, simplify the factorial expression.
65.
Problem 66E Problem 67E:
In Exercises 67-78, find each sum.
67.
Problem 68E Problem 69E:
In Exercises 67-78, find each sum.
69.
Problem 70E Problem 71E:
In Exercises 67-78, find each sum.
71.
Problem 72E Problem 73E:
In Exercises 67-78, find each sum.
73.
Problem 74E Problem 75E:
In Exercises 67-78, find each sum.
75.
Problem 76E:
In Exercises 67-78, find each sum.
76.
Problem 77E:
In Exercises 67-78, find each sum.
77.
Problem 78E Problem 79E: In Exercises 79-86, write each sum in summation notation.
79.
Problem 80E: In Exercises 79-86, write each sum in summation notation.
80.
Problem 81E Problem 82E: In Exercises 79-86, write each sum in summation notation.
82.
Problem 83E Problem 84E Problem 85E: In Exercises 79-86, write each sum in summation notation.
85.
Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E: Appreciating value. A painting valued at $30,000 is expected to appreciate $1280 the first year,... Problem 97E: Cell phone use. At the end of the first six months after a company began providing cell phones to... Problem 98E: Motorcycle acceleration. A motorcycle travels 10 yards the first second and then increases its speed... Problem 99E: Compound interest. Suppose $10.000 is deposited into an account that earns 6% interest compounded... Problem 100E: Compound interest. Suppose $100 is deposited at the beginning of a year into an account that earns... Problem 101E: Real estate value. Analysts estimate that a $10,000 condominium will increase 5% in value each year... Problem 102E: Diminishing savings. Laura withdraws 10% of her $50.000 savings each year. Find the amount remaining... Problem 103E: Find a formula for the nth term of the sequence defined recursively by . [Hint: Write each of the... Problem 104E: The triangular tiles used in the figures shown have white interiors and gold edges. A sequence of... Problem 105E: The figure shows a sequence of successively smaller squares formed by connecting the midpoints of... Problem 106E: A sequence of concentric circles designed so that the radius of the first circle is 1 and each... Problem 107E: Find the first ten terms of the sequence defined recursively by . In 1989, a prizes of $1000 was... Problem 108E: A sequence of numbers a0, a1, a2, a3,.. satisfies the equation
If a, find a3.
Problem 109E: Find a sequence with general term am such that
Problem 110E Problem 111E Problem 112E Problem 113E: Find the largest integer value for the upper limit k if
Problem 114E: The Ulam conjecture. Define the sequence an recursively by
... Problem 115E Problem 116E Problem 117E Problem 118E Problem 119E Problem 120E Problem 121E Problem 122E Problem 123E Problem 124E Problem 125E Problem 126E Problem 127E Problem 128E format_list_bulleted