Fibonacci sequence in arithmetic sequence The Fibonacci sequence is a series of numbers in which each number is the sum of the previous two. It starts with 0 and 1‚ which equals 1. Then 1 plus 2 equals 3‚ 2 plus 3 equals 5‚ and so on. n mathematical terms‚ the sequence Fn of Fibonacci numbers is defined by the recurrence relation With seed values[1] The Fibonacci numbers are represented practically everywhere. In the petals on a flower‚ or the arrangement of leaves along a stem‚ you
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In this experiment‚ the objective is to successfully perform an SN1 reaction to determine the reactivity of tert-butyl chloride‚ through the usage of sodium iodide/silver nitrate reagents and to synthesize tert-butyl chloride. The tert-butyl chloride was synthesized through the use of separation (aqueous and organic layers) and distillation. Tert-butyl chloride is the alkyl halide which is being synthesized throughout the course of the experiment. Alkyl halides are derived from alkanes. Once an alkane
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The Agony of Displacement in "Mrs. Sen’s" The word diaspora (originally the dispersion of Jews outside of Israel from the sixth century b.c.‚ when they were exiled to Babylonia‚ until the present time) refers to the movement of the population from its original homeland. For James Clifford‚ it involves dwelling‚ maintaining communities‚ having collective homes away from home. In order to provide a “defining" model‚ Clifford turns to William Safran’s definition of Diaspora: "expatriate minority communities
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[pic] Fourier Series: Basic Results [pic] Recall that the mathematical expression [pic] is called a Fourier series. Since this expression deals with convergence‚ we start by defining a similar expression when the sum is finite. Definition. A Fourier polynomial is an expression of the form [pic] which may rewritten as [pic] The constants a0‚ ai and bi‚ [pic]‚ are called the coefficients of Fn(x). The Fourier polynomials are [pic]-periodic functions. Using the trigonometric
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Thermochemistry: An Ice Calorimeter Determination of Reaction Enthalpy D. F. Nachman 6/23/2010 Abstract: An ice calorimeter was used to study the reaction of magnesium metal and 1.00M sulfuric acid solution: Mg(s) + H2SO4(aq) →MgSO4(aq) + H2(g). We found the experimental molar enthalpy of reaction to be ΔH = –355 ± 17 kJ/mol at 0°C‚ 24% lower than the textbook value of ΔH° = –466.9 kJ/mol‚ reported at 25°C. Introduction Whether a chemical reaction occurs spontaneously or is driven by an outside
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From the experimental data and through its analysis‚ the enthalpy of combustion for the five alcohols were determined; methanol‚ ethanol‚ propanol‚ butanol‚ and pentanol. As the line of best fit in the graph suggests‚ the enthalpy of combustion increased as the sizes of the molecules increased. This was predicted in the hypothesis and proves it to be correct. As seen on the graph‚ the enthalpy of combustion increases from 140kJ/mol for methanol‚ which has the smallest molecular mass‚ to 530kJ/mol
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Preparation and SN1 Reactivity of 2-Bromobutane Paul DeJong Department of Chemistry‚ Illinois State University‚ Normal‚ IL 61790-4160 Submitted: April 4‚ 2013 Introduction The purpose of part 1 of the lab is to prepare 2-Bromobutane using SN1 reactions. The purpose of part 2 of the lab is to determine the relative reactivity of alkyl halides under SN1 conditions. Results and Discussion The Overall Reaction The Proposed Mechanism Experimental Procedure To prepare
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Determination of the Enthalpy for Decomposition of Hydrogen Peroxide Objective: To construct a coffee cup calorimeter‚ measure its calorimeter constant‚ and determine the enthalpy of decomposition and formation of hydrogen peroxide. Background: This experiment is a classic thermodynamics lab. In it‚ we attempt to measure the enthalpy (H) of a chemical reaction. The main obstacle is that this is a quantity that cannot be measured directly. It instead is observed as heat from one substance is transferred
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Vapor Pressure and Enthalpy of Vaporization of Water 1/9/12 Emily Toy Lab Partner: Zack Ronnei Instructor: Ms. Olsen‚ AP Chemistry Purpose: The purpose of this lab is to find the vapor pressure of water at temperatures between 50oC and 80oC. Procedure: 1. Take a10 mL graduated cylinder and fill it with 7 mL of water. 2. Next fill a 1000 mL beaker ¾ full with water. 3. Cover the graduated cylinder by putting your finger on top and place the cylinder in the 1000 mL beaker. Make
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Question 5 - 10 marks (Equity Options) It is January 2nd‚ 2014 and Google Inc. (GOOG) stock is currently trading on the Nasdaq at a price of $1‚105.00 US dollars. Using the information provided below‚ please answer the following questions: (Note: ’Last’ means the last traded price of the put or call option. Use this number for your calculations). Call options: Put options: a) Based on the current stock price‚ which one of the two options is in the money? by how much? (1 marks) b)
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