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 14E Problem 15E: Consider the sequence 1,85,2,167,208,.... a. List the next two terms of the sequence. b. If the... Problem 16E 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 29E: Use the arithmetic sum formula to find the sum 2+7+12++497100terms. Problem 30E 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 33E: Find the sum a. 1+3+5+7++149.Hint: See Example 9.13. b. 1+3+5+100terms. 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 36E 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 40E Problem 41E: Crime in Happyville is on the rise. Each year the number of crimes committed increases by 50. Assume... Problem 42E Problem 43E 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 56E Problem 57E Problem 58E Problem 59E Problem 60E 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... Problem 64E: Each of the line graph shown in Figs. 9-19 through 9-24 describes a population that grows according... Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E: Show that if P0,P1,P2,... is an arithmetic sequence, then 2pO,2p1,2p2,... must be a geometric... format_list_bulleted