Solutions for Excursions In Modern Mathematics, 9th Edition
Problem 1E:
Consider the sequence defined by the explicit formula AN=N2+1. a. Find A1. b. Find A100. c. Suppose...Problem 2E:
Consider the sequence defined by the explicit formula AN=3N2. a. Find A3. b. Use a calculator to...Problem 3E:
Consider the sequence defined by the explicit formula AN=4NN+3. a. Find A1. b. Find A9. c. Suppose...Problem 5E:
Consider the sequence defined by the explicit formula AN=(1)N+1. a. Find A1. b. Find A100. c. Find...Problem 6E:
Consider the sequence defined by the explicit formula AN=(1N)N1. a. Find A1. b. Find A4. c. Find all...Problem 7E:
Consider the sequence defined by the explicit formula AN=2AN1+AN2 and starting with A1=1, A2=1. a....Problem 8E:
Consider the sequence defined by the explicit formula AN=AN1+2AN2 and starting with A1=1, A2=1. a....Problem 9E:
Consider the sequence defined by the explicit formula AN=AN12AN2 and starting with A1=1, A2=1. a....Problem 10E:
Consider the sequence defined by the explicit formula AN=2AN13AN2 and starting with A1=1, A2=1. a....Problem 11E:
Consider the sequence 1,4,9,16,25,.... a. List the next two terms of the sequence. b. Assuming that...Problem 12E:
Consider the sequence 1,2,6,24,120,.... a. List the next two terms of the sequence. b. Assuming that...Problem 13E:
Consider the sequence 0,1,3,6,10,15,21.... a. List the next two terms of the sequence. b. Assuming...Problem 15E:
Consider the sequence 1,85,2,167,208,.... a. List the next two terms of the sequence. b. If the...Problem 17E:
Airlines would like to board passengers in the order of decreasing seat numbers largest seat number...Problem 18E:
When two fair coins are tossed the probability of tossing two heads is 14; when three fair coins are...Problem 19E:
Consider a population that grows linearly following the recursive formula PN=PN1+125, initial...Problem 20E:
Consider a population that grows linearly following the recursive formula PN=PN1+23, with initial...Problem 21E:
Consider a population that grows linearly following the recursive formula PN=PN125, with initial...Problem 22E:
Consider a population that grows linearly following the recursive formula PN=PN1111, with initial...Problem 23E:
Consider a population that grows linearly, with P0=8 and P10=38. a. Give an explicit formula for PN....Problem 24E:
Consider a population that grows linearly, with P5=37 and P7=47. a. Find P0. b. Give an explicit...Problem 25E:
Official unemployment rates for the U.S. population are reported on a monthly basis by the Bureau of...Problem 26E:
The world population reached 6 billion people in 1999 and 7 billion in 2012. Source: Negative...Problem 27E:
The Social Security Administration uses a linear growth model to estimate life expectancy in the...Problem 28E:
While the number of smokers for the general adult population is decreasing, it is not decreasing...Problem 31E:
An arithmetic sequence has first term P0=12 and common difference d=3. a. The number 309 is which...Problem 32E:
An arithmetic sequence has first term P0=1 and common difference d=9. a. The number 2701 is which...Problem 34E:
Find the sum a. 2+4+6++98. b. 2+4+6+75terms.Problem 35E:
The city of Lightsville currently has 137 streetlights. As part of an urban renewal program, the...Problem 37E:
A population grows according to an exponential growth model. The initial population is P0=11 and the...Problem 38E:
A population grows according to an exponential growth model with P0=8 and P1=12. a.Find the common...Problem 39E:
A population grows according to the recursive rule PN=4PN1, with initial population P0=5. a.Find P1,...Problem 41E:
Crime in Happyville is on the rise. Each year the number of crimes committed increases by 50. Assume...Problem 44E:
Avian influenza A H5N1 is a particularly virulent strain of the bird flu. In 2008 there were 44...Problem 45E:
In 2010 the undergraduate enrollment at Bright State University was 19, 753; in 2011 the...Problem 46E:
In 2009 there were 73 cases of avian influenza A H5N1 confirmed worldwide; in 2010 the number of...Problem 47E:
Consider the geometric sequence P0=2, P1=6, P2=18, a.Find the common ratio R. b.Use the geometric...Problem 48E:
Consider the geometric sequence P0=4, P1=6, P2=9, a.Find the common ratio R. b.Use the geometric sum...Problem 49E:
Consider the geometric sequence P0=4, P1=2, P2=1,. a.Find the common ratio R. b.Use the geometric...Problem 50E:
Consider the geometric sequence P0=10, P1=2, P2=0.4,. a.Find the common ratio R. b.Use the geometric...Problem 51E:
Find the sum a. 1+2+22+23++215. b. 1+2+22+23++2N1 Hint: The answer is an expression in N.Problem 52E:
Find the sum a. 1+3+32+33++310. b. 1+3+32+33++3N1. Hint: The answer is an expression in N.Problem 53E:
A population grows according to the logistic growth model, with growth parameter R=0.8. Starting...Problem 54E:
A population grows according to the logistic growth model, with growth parameter R=0.6. Starting...Problem 55E:
For the population discussed in Exercise 53 (r=0.8,p0=0.3) a.find the values of p1 through p10....Problem 61E:
A population grows according to the logistic growth model, with growth parameter R=3.25. Starting...Problem 62E:
A population grows according to the logistic growth model, with growth parameter R=3.51. Starting...Problem 63E:
Each of the following sequences follows a linear, an exponential, or a logistic growth model. For...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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