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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The United States serves as a giant puzzle. From coast to coast‚ each region of land is slowly being put together. This is very similar to westward expansion. From 1801 to1844‚ westward expansion spread rapidly and America experienced a serious change in national unity. During this period territorial expansion had a very large impact and overall brought Americans together. During the early 1800’s (1800-1823) the Louisiana Purchase and Treaty of 1818 increased national unity. The Louisiana Purchase
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P2 - Present complex internal business information using three different methods appropriate to the user’s needs In this assignment I will present internal business information using three different types of communication methods which are appropriate to the user’s needs. The three types of methods I have chosen are written‚ on screen multimedia presentation and verbal presentations. I have chosen ASDA to do my research upon. ASDA is a global supermarket which sells groceries‚ electrical equipment
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Gibbon‚ writing in the late eighteenth century goes as far as calling the Crusades an act of “savage fanaticism.” The Enlightenment was however‚ quickly supplanted by romanticism in the nineteenth century. Prominent romantics such as Francois Michaud compared crusading with the contemporary enterprise of colonialism‚ all the while extolling the civilizing virtues of both. Europe’s preoccupation with imperialism was often even justified by using allusions to its crusading
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Territorial Expansion Between 1800 and 1850‚ the United States was a nation extending in all possible ways. America experienced a amount change in national unity. Territorial expansion destroyed national unity. Between 1819 and 1824 is when the unified nation of America began to divide and depart from one another. Triggered by the concept of Manifest Destiny‚ people believed that America should extend from “sea to shining sea”. It was the issues of the expansion of slavery into the new territories
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westward expansion was the key to the nation’s health: He believed that a republic depended on an independent‚ virtuous citizenry for its survival‚ and that independence and virtue went hand in hand with land ownership‚ especially the ownership of small farms. (“Those who labor in the earth‚” he wrote‚ “are the chosen people of God.”) In order to provide enough land to sustain this ideal population of virtuous yeomen‚ the United States would have to continue to expand.The westward expansion of the
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Westward expansion was an important part of not only American history but the history of Native Americans as well. In a sense this journey seemed like a good idea and even an opportunity to further colonize the land but there was one problem‚ a group had already claimed the land as their home. This minor set back did not discourage Americans from working towards manifest destiny. The ways of the Native Americans were very different from those of the new settlers which caused much conflict and misconceptions
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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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co.uk/BJASS.aspx Effectiveness of Internal Audit in Tanzanian Commercial Banks Dr.Jayalakshmy Ramachandran Asst. Professor‚ Nottingham University Business School‚ Seminyih‚ Malaysia‚ Email: jayalakshmy.rama@nottingham.edu.my 60386248779 Dr.Ramaiyer Subramanian ‚ Lecturer‚ Faculty of Business and Law‚ Multimedia University‚ Malaysia. Email: ramaiyer.subramaniam@mmu.edu.my‚ 6062310640 Ireneo John Kisoka Research scholar‚ Nottingham University Business School‚ Seminyih‚ Malaysia‚ Email: rajoo42@gmail
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Page 1 of 5 Name: ______________________________ ECET 231 - Circuit Analysis I Lab 6 Series-Parallel DC Circuits Objective: Students successfully completing this lab will accomplish the following objectives: 1. Gain experience analyzing and verifying‚ by measurements‚ the characteristics of series-parallel resistive circuits. 2. Increase understanding of the relationship of voltage‚ current and resistance in a series-parallel circuit 3. Learn to compute currents through the use of voltmeter
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