What is the closed-form expression for the below sum of Geometric Progression (GP) sequence‚ S n ? S n a aR aR 2 ... aR n (1) where R is called the common ratio (between consecutive terms) of the GP sequence. The reason why we want to derive a closed-form expression for S n is for the sake of calculating the summation‚ or otherwise we need to add all terms one-by-one together‚ which does not make a sense if the number of terms is huge‚ say a million terms! Most importantly
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In chapter 1 of The Sum of Us‚ Heather McGhee recalls her childhood growing up in the “fragile middle class”. She took note of her parents and neighbors in similar situations as they worked to stay in that middle class bracket. She came to terms with other family members having more than she did‚ but didn’t shy away from asking “why” when it came to poverty in Chicago. Her father grew up around the time of the Voting Rights Act and her mother the Fair Housing Act. Both were Black individuals living
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TIME VALUE OF MONEY SUMS 1. A finance company advertises that it will pay a lumpsum of Rs 8000 at the end of 6 yrs to investors who deposit annually Rs 1000 for 6 yrs. What is the rate implicit in this offer? 2. You want to take a trip to the moon which costs Rs 10‚00‚000-the cost is expected to remain unchanged in nominal terms. You can save annually Rs 50000 to fulfil this desire. How long will you have to wait if your savings earn an interest of 12 percent p.a.? 3. Suppose a firm borrows
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Flaws in Cartesian Dualism In Meditations on First Philosophy‚ René Descartes concludes that we are distinct from our body‚ and can exist without it. Seen from a modern materialist’s perspective‚ Descartes’ view is quite obviously wrong. However‚ assuming no knowledge of modern science‚ we should still be able to disprove his conclusion by looking for flaws in his reasoning in the text. In this essay‚ I will examine three relevant arguments Descartes presents in his sixth meditation and point out
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However I don’t feel that Putnam successfully argues against the Cartesian possibility of illusion‚ as his own theorem would say that a being is not able to understand the ex-istence in which it lives in‚ only that beneath it‚ such as the Mad Scientists to the brains in the Vat. Yet even the scientist is unable to comprehend
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for the concept of Cartesian dualism as a model to explain the understanding of the human form. Defined by Descartes‚ Cartesian dualism is the philosophy of the mind-body duality that is believed to exist within the human form. It separates the “mind from the body‚ spirit from matter‚ and real (i.e.‚ visible‚ palpable) from unreal” (Scheper-Hughes and Lock‚ 1987; 208). Cartesian dualism identifies the separation that exists between the mind and the body. The concept of Cartesian dualism is troubled
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To sum up‚ the transition from childhood to adolescence is complex‚ involving change in many different aspects of an individual’s life. While the transition through adolescence is inevitable for a sound development‚ the speed and degree of these changes may overload the capacity of many young to cope and result in a potential experience of stress. Teenagers must therefore develop a range of mechanisms which allow them to function effectively in the face of the stress which comes about the transition
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my family (guys) try and tell me to do something they say things like “no guy is gonna want a girl who can’t cook or want a girl who bites her nails or want a girl with such an attitude” as if my only purpose for living was to please some guy I also need feminism because when my little cries‚ gets upset‚ or happy or expresses any emotion he’s told by family members (also guys) to stop acting like a girl. As if being a means keeping things bottled up and being tough all the time or that being a
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In Hong Kong‚ Dim Sum is a traditional food.There are many elderly go to Dim Sum restaurants regularly‚ not only in the morning‚ but also at lunch time. In addition to satisfy their appetite‚ it is already a part of life for some people who go to Dim Sum restaurant every day in Hong Kong. In my view‚ Dim Sum should be the best item to represent Hong Kong culture. It is because Dim Sum exemplify unique characteristic of Hong Kong culture. In the following‚ I will introduce some of the characteristics
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The unique culinary art of dim sum means "dot-hearts"‚ small treats that touch the heart‚ and originated in China hundreds of years ago. It is said to have started along the Silk Road where farmers‚ laborers and travelers often stopped at roadside teahouses to have afternoon tea‚ regain sustenance and relax‚ an olden days version of the local neighborhood bar At first‚ it was considered inappropriate to combine tea with food‚ because people believed that this would lead to excessive weight gain.
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