Solutions for Excursions In Modern Mathematics, 9th Edition
Problem 4E:
Compute the value of each of the following. a. F1+F3+F5+F7 b. F1+3+5+7 c. F10/F5 d. F10/F5Problem 5E:
Describe in words what each of the expressions represents. a. 3FN+1 b. 3FN+1 c. F3N+1 d. F3N+1Problem 12E:
Using a good calculator an online calculator if necessary and Binets simplified formula, compute...Problem 15E:
Fact: If we make a list of any four consecutive Fibonacci numbers, the first one times the fourth...Problem 16E:
Fact: If we make a list of any 10 consecutive Fibonacci numbers, the sum of all these numbers...Problem 17E:
Express each of the following as a single Fibonacci number. a. FN+1+FN+2= b. FNFN2= c....Problem 25E:
Consider the quadratic equation x2=x+1. a. Use the quadratic formula to find the two solutions of...Problem 27E:
Consider the quadratic equation 3x2=8x+5. a. Use the quadratic formula to find the two solutions of...Problem 31E:
Consider the quadratic equation 21x2=34x+55. a. Without using the quadratic formula, show that x=1...Problem 34E:
Consider the quadratic equation (FN2)x2=(FN1)x+FN, where FN2, FN1, and FN are consecutive Fibonacci...Problem 35E:
The reciprocal of =1+52 is the rational number 1=21+5. a. Using a calculator, compute 1 to 10...Problem 36E:
The square of the golden ratio is the irrational number 2=(1+52)2=3+52. a. Using a calculator,...Problem 37E:
Given that F4998.61710103, a. find an approximate value for F500 in scientific notation. Hint:...Problem 43E:
Triangles T and T shown in Fig. 13-23 are similar triangles Note that the triangles are not drawn to...Problem 44E:
Polygons P and P shown in Fig. 13-24 are similar polygons Figure 13-24 a. If the perimeter of P is...Problem 45E:
Find the value of x so that the shaded rectangle in Fig. 13-25 is a gnomon to the white 2 by 10...Problem 46E:
Find the value of x so that the shaded figure in Fig. 13-26 is a gnomon to the white rectangle....Problem 51E:
In Fig. 13-31 triangles BCA is a 36-36-108 triangle with sides of length and 1. Suppose that the...Problem 53E:
Find the value of x of y so that in Fig. 13-33 the shaded triangle is a gnomon to the white triangle...Problem 56E:
Consider the sequence of ratios FN2FN. a. Using a calculator compute the first 15 terms of this...Problem 60E:
a.Explain what happens to the values of (152)N as N gets larger. Hint: Get a calculator and...Problem 66E:
Find the value of x of y so that in Fig. 13-37 the shaded triangle is a gnomon to the white...Browse All Chapters of This Textbook
Chapter 1 - The Mathematics Of Elections The Paradoxes Of DemocracyChapter 2 - The Mathematics Of Power Weighted VotingChapter 3 - The Mathematics Of Sharing Fair-division GamesChapter 4 - The Mathematics Of Apportionment Making The RoundsChapter 5 - The Mathematics Of Getting Around Euler Paths And CircuitsChapter 6 - The Mathematics Of Touring Traveling Salesman ProblemsChapter 7 - The Mathematics Of Networks The Cost Of Being ConnectedChapter 8 - The Mathematics Of Scheduling Chasing The Critical PathChapter 9 - Population Growth Models There Is Strength In NumbersChapter 10 - Financial Mathematics Money Matters
Chapter 11 - The Mathematics Of Symmetry Beyond ReflectionChapter 12 - Fractal Geometry The Kinky Nature Of NatureChapter 13 - Fibonacci Numbers And The Golden Ratio Tales Of Rabbits And GnomonsChapter 14 - Censuses, Surveys, Polls, And Studies The Joys Of Collecting DataChapter 15 - Graphs, Charts And Numbers The Data Show And TellChapter 16 - Probabilities, Odds, And Expectations Measuring Uncertainty And RiskChapter 17 - The Mathematics Of Normality The Call Of The Bell
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