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) = 2+ (k-1)+(k+1)= 2+ (2k)= (2=k+1)= 2+k*. So by
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2014 THEO 202-C05 LUO Test Quiz 1 Started 2/17/14 5:02 PM Submitted 2/17/14 5:16 PM Status Completed Attempt Score 45.5 out of 70 points Time Elapsed 14 minutes out of 15 minutes. Instructions Covers this week’s textbook readings Open-book‚ open-Bible‚ open-notes 15-minute time limit 20 multiple-choice and true/false questions Do not click the BACK button because this will lock you out of the quiz. The timer will continue if and when you leave this quiz. Question 1 0 out of 3.5 points The
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Unit 501 – use and develop systems that promote communication Learning outcome 1. Be able to address the range of communication requirements in own role. 1.1 Review the range of groups and individuals whose communication needs must be addressed in own job role. Individuals who have communication problems need support to enable them to express themselves effectively. Therefore it is vitally important in a managerial or senior role to both be aware of the individuals preferred method of communication
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Unit 501 1‚ Think about the range of people you communicate with in work. For each group cover at least 3 that you deal with the most often: A‚ Detail what communication needs each different groups has and back this up with your examples of your practice. B‚ Are the communication systems and practises described in a) effective? It they are‚ why are they? If not why are they not? C‚ Explain the barriers and challenges faced with each group. Explain why these are barriers and challenges and how you
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INTRODUCTION / NAME of YOUR ORGANIZATION. This Module 1 SLP will be the first part of an in-depth market analysis. The company I have chosen is Starbucks Coffee Company. The first Starbucks opened in 1971 at Pike Place market in Seattle‚ WA. Eleven years later‚ Howard Schultz was hired by the company to be the director of retail operations and marketing. The first Starbucks with the current coffee house look and feel was opened in 1984 in downtown Seattle. The Starbucks headquarters is still
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ADVANCED FINANCIAL ACCOUNTING 260 IMPAIRMENT QUIZ QUESTIONS 1. When should an entity conduct an impairment test? (2 Marks) Assets that are consider to have uncertain carrying amounts must be tested every year for impairment. Goodwill acquired in a business combination Intangible assets with an indefinite useful life Intangibles not yet ready for use Impairment testing of all other assets is required only if there is an indication that they might be impaired due to events
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BARNSLEY SOCIAL CARE ACCREDITED ASSESSMENT CENTRE Unit 501 Use and develop systems that promote communication (SHC51) Unit Accreditation Ref F/602/2335 Level 5 Credit value 3 Learner Learning outcomes and Assessment Criteria The learner will: The learner can: Loc Reference Assessment Method O Q EWT PD P/A WP RPL RA CS WT 1. Be able to address the range of communication requirements in own role 1.1 Review the range of groups
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Question 1 of 20 0.5/ 0.5 Points An academic service that will analyze a paper and report instances of potential plagiarism for the student to edit before submitting for a grade is __________________. B.TurnItIn Question 2 of 20 0.5/ 0.5 Points American Public University System (APUS) is made up of two institutions‚ American Public University (APU) and American Military University (AMU). True Question 3 of 20 0.5/ 0.5 Points To be eligible for the President’s Honor List a student
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Math in My Life This year in Algebra 2 class I have learn some very interesting and important topics. Throughout this past school year I have grown and learned how to use these newly learned skills and my understanding of algebra is now complete. In math class this year‚ I believe I did fairly well and received almost got all A’s. I think I passed this class is because math in general comes easy to me. I only studied in the beginning of the year‚ as the latter part of the year came much easier.
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Economics (Week 1) Opportunity Cost My significant other and I recently made a decision for me to quit my job and go back to school. Our decision was based on my unhappiness at work; however‚ we also started looking at the long-term financial security aspect of it. The alternatives considered were to pursue a health related job where I would be happier or‚ go back to school to acquire a nursing degree. We came to our final decision based on my dream of wanting to be a nurse. The future long-term
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