Exercise 4.1 2. Establish each of the following for all n ≥ 1 by the Principle of Mathematical Induction. Solution a) S(n): ==‚ S(1): = = =1‚ So S(1) is true. Assume S(k): = Consider S(k+1) = = +=-1+= -1. Hence‚ it follows that S(k)⇒S(k + 1) is true for all n ∈ Z+ by the Principle of Mathematical Induction. b) S( n) for n=1‚ = 2 = 2+(1-1). So S(1) is true. Inductive Step: assume S(k)is true‚ for some (particular) k ∈ Z+—that is‚ assume that =2+(k-1). For n=k+1‚ = + (k+1)
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Buried Treasure Ashford University MAT 221 Buried Treasure For this week’s Assignment we are given a word problem involving buried treasure and the use of the Pythagorean Theorem. We will use many different ways to attempt to factor down the three quadratic expressions which is in this problem. The problem is as‚ ““Ahmed has half of a treasure map‚ which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the
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Anthropology 101 Week 1 Discussion (Assimilation) Instructor K. Burke According to the textbook‚ assimilation is the process by which a society experiencing acculturation changes so much that it is hardly distinguishable from a more dominant society (Carpo‚ 2103). This means that a smaller society basically takes on the traits of a bigger one to the point that it is hard to tell the two apart. This film was unlike anything I was prepared to watch in this class. I was surprised to learn that
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am going to compare and contrast the differences between two well-known Universities‚ Ashford University and The University of Phoenix. One of the major things that you want to look for when choosing a school is if they offer the major you want for your associate’s degree. Both schools have good choices of majors‚ Ashford University gives you the selection of
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WEEK 5 – Chap 15 – Labor Relations; 16 Employee Discipline; 17 Promoting Safety. DQ 1 Being a self business generator I would submit to my fellow students that the disciplinary group I am always mindful of are the rules and regulations set forth on my financial market segment – such as the Department of Real Estate‚ FBI & Federal Mortgage Licensing System(s). With my role and responsibility level I am required to have systems in place that prevent others from breaking laws in addition to personal
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WEEK 4 – CHAPTERS 13 Training & development & 14 Career Planning & developme DQ 1 - In my very first corporate job I had a 5 day employee orientation that addressed the company’s historical goals; as well as present and future goals. That was not more than 5 hours of orientation video though. The position was commodities with specific focus on semiconductors of all sorts; purchasing and selling on the secondary market. I was hired to work with the VP of Sales; specifically handling his client
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“Something’s are just wrong” Jessica Barnett SOC120 Richard Abshier Aug. 27‚ 2012 In "Some Moral Minima‚" Lenn Goodman argues that there are certain things that are simply wrong. Do you think Goodman is right? One of the most controversial subjects is that of pornography. So many people argue over whether or not it should be legal. I would agree that something’s are just wrong‚ however is is really our place to attempt to force others to live according to our beliefs? I think trying to force
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Shared Talking Styles Jessica Tuszynski Com 200 Interpersonal communication Professor: Laura Massengale Ashford University April‚ 2‚ 2012 Do the styles of our language predict the quality of interpersonal relationships? Psychological science thinks the reason why people show mutual romantic interests or can communicate better with someone is because of similar function words. “They say unconscious verbal coordination of this sort‚ dubbed language-style matching by researchers‚ signifies
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Benefits of Using the Ashford University Library Christopher D’Angelo INF103: Computer Literacy (ACD1519D) Instructor: Brian Hereford May 6th 2015 There are many benefits to using the Ashford University library. In this paper I will explain the differences between scholarly and popular resources‚ along with providing a few examples to help better understand the differences. I will also talk about key things to remember when searching for sources within the Ashford University Library. Some examples
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Hard Rock Café Case Study Student Name Student ID Devry University GSCM-206 1. Identify the strategy changes that have taken place at Hard Rock Café since its founding in 1971. Since it foundation in 1971 Hard Rock that started as a London Café serving classic American food. It became a thematic chain selling memorabilia in tourist destinations. Ever since the company went through many transformations including adding stores‚ upgrading its menu and adapting
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