Submission date: 3/9/13 Name of student: PRINCIPLE OF MATHEMATICAL INDUCTION Prove the following by Mathematical Induction 1. 1 1 + 4 + 7 + …………………….. + (3n – 2 ) = n(3n 1) 2 2. 4 + 8 + …………………………. + 4n = 2n( n + 1 ) 3. 1 1.3 + 2.4 + 3.5 + ………………. + n(n +2) = n(n 1)(2n 7) 6 4. 5 5 + 15 + 45 +……………………... +5.3n – 1 = (3 n 1 ) 2 5. n a + (a + d) + ( a + 2d) + ……………… + [a +(n – 1)d] = [2a (n 1)d ] 2 6. 1 12 + 32 + 52 +…………………………..+ (2n – 1)2 = n(4n 2 1) 3 7. 1 1
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full of complexity which cover range of activities such as banking‚ government procurement‚ agriculture‚ and etc. Therefore there are five clear principles that go into all documents‚ and they are considered as the basis of multilateral trading system (WTO‚ n.d.). These principles are briefly introduced bellow: Non-discrimination trading The first principle to introduce is trading without discrimination‚ having two important components which are most-favoured-nation (MFN) and national treatment. Both
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Chapter -2 E-Marketplaces: Mechanisms‚ Tools‚ and Impacts of E-commerce Learning Objectives Describe the major electronic commerce (EC) activities and processes and the mechanisms that support them. Define e-marketplaces and list their components. List the major types of e-marketplaces and describe their features. Describe electronic catalogs‚ search engines‚ and shopping carts. Describe the major types of auctions and list their characteristics. Learning Objectives Discuss
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Principles and Articles of the U.S. Constitution Bettina McCormick Grand Canyon University January 13‚ 2012 Principles of the Constitution There are seven principles that make up our Constitution. These principles are the basis of our Constitution. When laws‚ petitions‚ and ideas are brought about our representatives‚ they must be in accordance with our principles of the Constitution. Below is a chart that names only three of our primary principles of the Constitution. Principles of the
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Pareto principle From Wikipedia‚ the free encyclopedia The term "Pareto principle" can also refer to Pareto efficiency. The Pareto principle (also known as the 80–20 rule‚ the law of the vital few‚ and the principle of factor sparsity) states that‚ for many events‚ roughly 80% of the effects come from 20% of the causes. Business‐management consultant Joseph M. Juran suggested the principle and named it after Italian economist Vilfredo Pareto‚ who observed in 1906 that 80% of the land in Italy
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Wall-E is the story of a trash compactor robot and a probe robot who fall in love. Wall-E was left behind on a garbage-ridden Earth when the human race abandons it to live in space. He is left there year after year until one day‚ a ship lands and the beautiful probe EVE comes to look for signs of life. Wall-E shows her a plant he had found‚ and she takes it back to the space station where the humans are living. After a struggle with the resistant auto pilot‚ EVE and Wall-E‚ together with the captain
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Nithya Erabelli Texas History 7 November 5‚ 2014 Period 6 The Most Important Principle of Government The most important principle of government in a democracy is popular sovereignty. This is because it acts as the government’s feedback‚ keeps the government limited‚ and lets the people express their feelings. First‚ popular sovereignty is important because it acts as the government’s feedback. If a government is doing very well and keeping the people happy‚ then they receive positive
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Table of Content: 1.0 Introduction………………………………………………………...3 2.0 Marketing Strategies: 2.1 Products………………………………………………………………………….5 2.2 Promotion……………………………………………………………………......5 2.3 Price………………………………………………………………………………7 2.4 Place………………………………………………………………………………8 3.0 Competitor analysis………………………………………………....9 4.0 Conclusion………………………………………………………….11 5.0 References…………………………………………………………..12 1.0 Introduction: Samsung Group is a Korean company for electronic products in different areas and some
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future careers” (KIPP‚ 2017). There are five core principles that KIPP follows and are commonly referred as the “five pillars”. High expectations‚ choice and commitment‚ more time‚ power to lead‚ and focus on results are the core principles that KIPP strives to follow everyday and to help change the lives of students that reside in underserved communities. The Knowledge is Power Program (KIPP) follow a predetermined set of foundation principles that are also known as the “five pillars” (Roberts
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Franklin 1 Jonathan Franklin Allen Layne Criminal Investigations 18.OCT.2013 Investigations And The Principles A successful crime scene investigation depends deeply on the collection and analysis of various kinds of evidence. Forensic scientists rely on the classification of certain evidence and they have different ways of dealing with it. One major difference is biological and physical. Physical evidence refers to the collection of anything at the crime scene that comes
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