THEOREM OBJECTIVES Recognize patterns in binomial expansions. Evaluate a binomial coefficient. Expand a binomial raised to a power. Find a particular term in a binomial expansion Understand the principle of mathematical induction. Prove statements using mathematical induction. Definition: BINOMIAL THEOREM Patterns in Binomial Expansions A number of patterns‚ as follows‚ begin to appear when we write the binomial expansion of a b n‚ where n is a positive integer. a
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Music of the USA History The music of the United States reflects the country’s multi-ethnic population through a diverse array of styles. Among the country’s most internationally-renowned genres are hip hop‚ blues‚ country‚ rhythm and blues‚ jazz‚ barbershop‚ pop‚ techno‚ and rock and roll. After Japan‚ the United States has the world’s second largest music market with a total retail value of 3‚635.2 million dollars in 2010 and its music is heard around the world. Since the beginning
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Patrick Langteau 12/4/13 Music Appreciation Timeline Assignment The Middle Ages (450-1450) Genres: Gregorian Chant‚ Secular music‚ Church Music Time period: Church was the center of the musical scene at this time period‚ most music at the beginning was just vocal and sacred because instruments were not allowed in church at this point in time. As time progressed secular music began to pick up because people wanted to be able to have music outside of church and generally wanted something with
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Introduction L’Oréal is the company that I choose to be discussed. The reason why I choose this company is because they are the world leading cosmetic and beauty product’s company and they have a strong strategy for me to discuss on. L’Oréal is a cosmetics and beauty products’ company and it was founded at Clichy‚ France in 1909. Eugène Schueller is the founder of the company‚ who became an instructor at the Sorbonne after completed his study in the Institute for Applied Chemistry in Paris. L’Oréal
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COLONIAL EXPANSIONS AND RIVALRIES What is it? Colonialism expansion is where countries (such as Britain‚ France‚ Germany and Russia) settle on new land. They do this to expand their territories‚ and to use their resources for to benefit their empire. Rivalries between the empires are consequential. This is because many empires are involved in conflicts when attempting to regain new land. How did it contribute to the start of World War I? Imperialism was one of the causes of World War I.
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* Construction of Yoga‚ meditation and prayer hall with cultural activities to accommodate another 600 people which cost about Rs.1.00 crore (i.e. $ 2.00) lakhs. Dairy Farm: EXPANSION PLANS AND FUTURE OUTLOOK The future plans of Dar-ul-Sukun reaches beyond the borders of religion‚ cast‚ color and creed. The had always perform to make its members self-sufficient‚ so that they can play a productive part in the society. The non-discriminatory attitude towards the society is a big example of promotion
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For the exclusive use of W. Zhou‚ 2015. MH0023 0 0 7 7645065 MARNE L. ART HAUD- DAY FRA NK T. ROT HAE RME L Best Buy’s Turn-Around Strategy (2013) CEO HUBERT JOLY BREATHED A SIGH OF RELIEF as he reviewed the 2012 end-of-year holiday revenue figures for Best Buy. After perhaps the most tumultuous year ever in the life of the company‚ he knew the numbers could be much worse. Despite being the world’s largest retailer of consumer electronics with $50 billion in annual sales‚ Best Buy’s financial
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The period from 1450 to 1650 is often referred to as the “Age of Discovery‚” an era of advances in geographical knowledge and technology. It was also a time of European migration to other parts of the world. This Age of Expansion and European exploration from 1450 to 1525‚ greatly promoted by economical‚ technological‚ political‚ and religious factors‚ launched a major turning point in world history. The economy of late fifteenth century played an important role in European conquest. The Ottoman
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such as corporations and other countries governments. U.S. securities issued include Treasury bills‚ notes and U.S. savings bonds. The amount of money that the federal government of the USA owes to its creditors now tops $15.23 trillion. It means that every man‚ woman or child debt over than $45‚000. The USA public debt in 2011 is rather around 100 percent of GDP. In answering the question what is the cause for the national debt‚ the simple answer is that the country’s government gives out more
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take care of nearly fifty unfortunate lives before the Camp’s story reached other wealthy philanthropists. In the end‚ Trang said to the reporters; seeing these poor creatures‚ she was so grateful to have a complete body and a happy family. This appreciation was the motivation for her deed. These examples clearly show the fact that we only see value of what we have after a comparison with
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