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) = 2+ (k-1)+(k+1)=
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topic statement: to investigate the conflict management strategies used by digicel‚ down town Kingston‚ to improve the relationship between employees and management objectives 1. Analyze what causes conflict among employees in an organization 2 to determine the strategies used by management to reduce conflict among employees 3. To determine how the strategies used by management by affect employees between each other Table of Contents Content Page Introduction
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Pedram Ghodrati Math Why do we have to learn algebra? Math is an academic subject which many students struggle to master. I remember when I was in high school‚ I always had a hard time understanding math. In senior year I almost dropped out of school because of the difficulty of high levels of math classes. I just read an article called‚ “Is Algebra Necessary?” by Andrew Hacker‚ an American political scientist and public intellectual. He is currently Professor Emeritus in the Department of Political
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stigmas negatively impacts on juvenile behavior in High Schools in Malvern”‚ the Internal Assessment will be encompassing three major objectives. These are (1) To determine what motivates students to commit acts of deviance in schools (juveniles). (2) To observe if deviant acts are committed only by persons of a particular‚ gender‚ age category‚ and social class etc. (3) The extent to which the family unit can be held responsible for producing deviants as they are the primary unit of socialization
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Raymond Ye Mr. Pettibone IB Physics 2 November 2013 Internal Assessment DESIGN Aspect 1: How does the time a rubber band spends stretching a force of 12.5 N affect the force required to break/snap the rubber band? IV- The time spent stretching the rubber band 12.5 N DV- The force required to break/snap the band Units for Independent Variable- Minutes Units for Dependent Variable- Newtons Aspect 2: Variables that will be kept the same include: -The force of the stretch -Conditions
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INTRODUCTION In our daily lives‚ we come across news like "prices of goods rising!" or "super discount!". This means that we have to pay a higher or a lower price for the same goods or services. Very often we use index numbers to indicate these changes. In Form 4‚ we have learnt about Index Number from Chapter 11 in Additional Mathematics. Do you know what exactly Index Number is? Well‚ an index number is an economic data figure reflecting price or quantity compared with a standard
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a long-term commitment to operate in business together. The people who own a partnership are called partners. They maintain one set of accounting records and share the profits and losses. Nature of Partnership 1. It is formed to make profits 2. It must obey the law as given in the Partnership Act 1890. If there is a limited partner‚ it must also comply with the Limited Partnership Act of 1907. 3. Normally there can be a minimum of two partners and a maximum of twenty partners. 4. Each partner
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CHAPTER 1 INTRODUCTION BACKGROUND OF THE STUDY Fish is abundant in the Philippines and is the cheapest source of protein‚ thanks to advances made in aquaculture or fish farming. Aquaculture is contributing significantly to food security‚ livelihood‚ and the economy. It involves raising seaweeds‚ milkfish‚ tilapia‚ shrimp‚ oysters and mussels in tanks or enclosures‚ ponds‚ pens‚ cages and open coastal waters. Fish Farming has been practiced over a hundred of years. It is a viable‚ sustainable
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Yr 10 Mathematics Assignment LCR Maths By Adonis Chigeza Understanding and Fluency Tasks Task A 1. y = 1.2? + 2.57 2. Interpolation: y = -3.43 Extrapolation: y = -8.23 Task B a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height‚ t = time) b) The vertical height of the ball after 2. seconds2.664m c) The maximum height reached by the ball is 3.025m d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds e) The total time in which the
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TABACO NATIONAL HIGH SCHOOL TABACO CITY BATTERY-OPERATED FISH SCALING DEVICE PROPONENTS: NIÑO REY B. BORNILLA GIL C. BRUTAS JR. ERIKA C. MAE LU NESIE B. VOLANTE CHAPTER I INTRODUCTION This chapter includes the background of the study‚ statement of the problem‚ significance of the study and the scope and limitations. Background of the Study Innovation of technology is very advance nowadays. For that reason‚ man is now determined to generate more beneficial projects
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