Solutions for Mathematical Excursions (MindTap Course List)
Problem 1EE:
Extend Figure 1.1 above by constructing drawings of the sixth triangular number, the sixth square...Problem 2EE:
The figure below shows that the fourth triangular number, 10, added to the fifth triangular number,...Problem 3EE:
Construct a drawing of the fourth hexagonal number.Problem 1ES:
Construct a difference table to predict the next term of each sequence. 1,7,17,31,49,71,...Problem 2ES:
Construct a difference table to predict the next term of each sequence. 10,10,12,16,22,30,...Problem 3ES:
Construct a difference table to predict the next term of each sequence. 1,4,21,56,115,204,...Problem 4ES:
Construct a difference table to predict the next term of each sequence. 0,10,24,56,112,190,...Problem 5ES:
Construct a difference table to predict the next term of each sequence. 9,4,3,12,37,84,...Problem 6ES:
Construct a difference table to predict the next term of each sequence. 17,15,25,53,105,187,...Problem 7ES:
Use the given nth-term formula to compute the first five terms of the sequence. an=n(2n+1)2Problem 8ES:
Use the given nth-term formula to compute the first five terms of the sequence. an=nn+1Problem 9ES:
Use the given nth-term formula to compute the first five terms of the sequence. an=5n23nProblem 10ES:
Use the given nth-term formula to compute the first five terms of the sequence. an=2n3n2Problem 15ES:
Cannonballs can be stacked to form a pyramid with a triangular base. Five of these pyramids are...Problem 16ES:
Cannonballs can be stacked to form a pyramid with a triangular base. Five of these pyramids are...Problem 17ES:
Pieces vs. Cuts One cut of a stick of licorice produces two pieces. Two cuts produce three pieces....Problem 18ES:
Pieces vs. Cuts One straight cut across a pizza produces 2 pieces. Two cuts can produce a maximum of...Problem 19ES:
Pieces vs. Cuts One straight cut through a thick piece of cheese produces two pieces. Two straight...Problem 20ES:
Fibonacci Properties The Fibonacci sequence has many unusual properties. Experiment to decide which...Problem 21ES:
Find the third, fourth, and fifth terms of the sequence defined by a1=3, a2=5, and an=2an1an2 for...Problem 22ES:
Find the third, fourth, and fifth terms of the sequence defined by a1=2, a2=3, and an=(1)an1+an2,...Problem 23ES:
Binets Formula The following formula is known as Binet's formula for the nth Fibonacci number....Problem 24ES:
Binets Formula Simplified Binets formula (see Exercise 23) can be simplified if you round your...Problem 25ES:
A Geometric Model The ancient Greeks often discovered mathematical relationships by using geometric...Problem 26ES:
The nth-term formula an=n(n1)(n2)(n3)(n4)4321+2n generates 2, 4, 6, 8, 15 for n=1,2,3,4,5. Make...Problem 27ES:
Fibonacci Sums Make a conjecture for each of the following sums, where Fn represent the nth...Problem 28ES:
Fibonacci Sums Make a conjecture for each of the following sums, where Fn represent the nth...Problem 29ES:
Pascals Triangle The triangular pattern in the following figure is known as Pascals triangle....Problem 30ES:
A Savings Plan You save a penny on day 1. On each of the following days you save double the amount...Browse All Chapters of This Textbook
Chapter 1 - Problem SolvingChapter 1.1 - Inductive And Deductive ReasoningChapter 1.2 - Problem Solving With PatternsChapter 1.3 - problem-solving StrategiesChapter 2 - SetsChapter 2.1 - Basic Properties Of SetsChapter 2.2 - Complements, Subsets, And Venn DiagramsChapter 2.3 - Set OperationsChapter 2.4 - Applications Of SetsChapter 2.5 - Infinite Sets
Chapter 3 - LogicChapter 3.1 - Logic Statements And QuantifiersChapter 3.2 - Truth Tables, Equivalent Statements, And TautologiesChapter 3.3 - The Conditional And The BiconditionalChapter 3.4 - The Conditional And Related StatementsChapter 3.5 - Symbolic ArgumentsChapter 3.6 - Arguments And Euler DiagramsChapter 4 - Apportionment And VotingChapter 4.1 - Introduction To ApportionmentChapter 4.2 - Introduction To VotingChapter 4.3 - Weighted Voting SystemsChapter 5 - The Mathematics Of GraphsChapter 5.1 - Graphs And Euler CircuitsChapter 5.2 - Weighted GraphsChapter 5.3 - Planarity And Euler's FormulaChapter 5.4 - Graph ColoringChapter 6 - Numeration Systems And Number TheoryChapter 6.1 - Early Numeration SystemsChapter 6.2 - Place-value SystemsChapter 6.3 - Different Base SystemsChapter 6.4 - Arithmetic In Different BasesChapter 6.5 - Prime NumbersChapter 6.6 - Topics From Number TheoryChapter 7 - Measurement And GeometryChapter 7.1 - MeasurementChapter 7.2 - Basic Concepts Of Euclidean GeometryChapter 7.3 - Perimeter And Area Of Plane FiguresChapter 7.4 - Properties Of TrianglesChapter 7.5 - Volume And Surface AreaChapter 7.6 - Right Triangle TrigonometryChapter 7.7 - Non-euclidean GeometryChapter 7.8 - FractalsChapter 8 - Mathematical SystemsChapter 8.1 - Modular ArithmeticChapter 8.2 - Applications Of Modular ArithmeticChapter 8.3 - Introduction To Group TheoryChapter 9 - Applications Of EquationsChapter 9.1 - first-degree Equations And FormulasChapter 9.2 - rate, Ratio, And ProportionChapter 9.3 - PercentChapter 9.4 - Second-degree EquationsChapter 10 - Applications Of FunctionsChapter 10.1 - Rectangular Coordinates And FunctionsChapter 10.2 - Properties Of Linear FunctionsChapter 10.3 - Finding Linear ModelsChapter 10.4 - Quadratic FunctionsChapter 10.5 - Exponential FunctionsChapter 10.6 - Logarithmic FunctionsChapter 11 - The Mathematics Of FinanceChapter 11.1 - Simple InterestChapter 11.2 - Compound InterestChapter 11.3 - Credit Cards And Consumer LoansChapter 11.4 - Stocks, Bonds, And Mutual FundsChapter 11.5 - Home OwnershipChapter 12 - Combinatorics And ProbabilityChapter 12.1 - The Counting PrincipleChapter 12.2 - Permutations And CombinationsChapter 12.3 - Probability And OddsChapter 12.4 - Addition And Complement RulesChapter 12.5 - Conditional ProbabilityChapter 12.6 - ExpectationChapter 13 - StatisticsChapter 13.1 - Measures Of Central TendencyChapter 13.2 - Measures Of DispersionChapter 13.3 - Measures Of Relative PositionChapter 13.4 - Normal DistributionsChapter 13.5 - Linear Regression And Correlation
Book Details
MATHEMATICAL EXCURSIONS, Fourth Edition, teaches you that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands that prime numbers are connected to credit card transactions; that compound interest is connected to student loans; and that the perils of radioactive waste take on new meaning when one understands exponential functions are connected to the disasters at Fukushima, Japan. The efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. These are just a few of the facets of mathematics you will explore with this text. MATHEMATICAL EXCURSIONS will expand the way you know, perceive, and comprehend the world around you. Enjoy the journey!
Sample Solutions for this Textbook
We offer sample solutions for Mathematical Excursions (MindTap Course List) homework problems. See examples below:
Chapter 1, Problem 1REGiven Information: Roster method Concept used: In roster form, elements are written in value....Chapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REGiven information: The Hindu-Arabic numeral is 4,506,325. Formula used: Hindu-Arabic NumeralEgyptian...Chapter 7, Problem 1REChapter 8, Problem 1REChapter 9, Problem 1RE
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