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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Math 221 **** Example Format **** Week 6 Lab Submitted by: (Insert Name Here **REMOVE THIS NOTE PRIOR TO SUBMITTING**) (Note: Your labs should be well organized‚ with results clearly identified and in the proper order. When answering questions‚ be sure to use complete sentences and proper grammar. It is also important for you to fully explain your answers! Please do not answer “yes” (or “no”); you should explain why the answer
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Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map
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discussion‚ and review the example of how to complete the math required for this assignment: • Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra). • Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name: |If your last |For part (a) of problem 92 use this information to calculate the child’s |For part (b) of problem 92 use this | |name starts with
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services‚ the grocery shop‚ local schools‚ churches and doctors offices. I believe this will help cover a wide range of people in Buford‚ Georgia. To help me better understand the risk factors of my community‚ during the health fair I will be asking questions such as routine diet‚ type of groceries purchased‚ how its prepared‚ the routine for eating out and type of food ordered‚ extend of sedentary lifestyle‚ recreational habits such as smoking‚ drinking use of street drugs‚ personal and family medical
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ENG 221 Critique on Online User Manual Name June 25‚ 2013 Critique on Online User Manual Apple Ipad IOS 6 is an inevitable new niche in today’s technological arena. This Apple Ipad manual critique will analyze five criteria areas: attractiveness‚ development‚ organization‚ concise‚ and efficiency of the document. The manual is under the url address of http://safemanuals.com/014159.php?ID=4680069&k=e106a86fabd5fac1d4fe0969efc57e28&q=APPLE%20IPAD. Attractiveness Positive: The
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Elementary Statistics iLab Week 6 Statistical Concepts: * Data Simulation * Discrete Probability Distribution * Confidence Intervals Calculations for a set of variables Mean Median 3.2 3.5 4.5 5.0 3.7 4.0 3.7 3.0 3.1 3.5 3.6 3.5 3.1 3.0 3.6 3.0 3.8 4.0 2.6 2.0 4.3 4.0 3.5 3.5 3.3 3.5 4.1 4.5 4.2 5.0 2.9 2.5 3.5 4.0 3.7 3.5 3.5 3.0 3.3 4.0 Calculating Descriptive Statistics Descriptive Statistics: Mean‚ Median Variable N N* Mean SE Mean StDev
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Assignment: Inequalities Math 221: Introduction to Algebra Instructor Jonah Mutua June 16‚ 2013 Inequalities This assignment involves the use of inequalities in mathematical equations. The formula for finding Body Mass Index (BMI) is BMI =703W/H^2. In this formula W = weight in pounds In this formula H = height in inches. For this assignment four intervals based on our own personal heights must be calculated. I am 6 feet 4 inches tall. My height
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User Manual Critique For this critique evaluation‚ I chose to use the Sprint Samsung Galaxy S4 (SPH-L720) Users Guide. The criteria I am going to use for this evaluation is audience recognition‚ development‚ conciseness‚ ease of use and document design from the Instruction‚ User Manual‚ and SOP Usability Checklist (Gerson 2012). A user manual is created to help the owner of a product understand‚ become familiar and troubleshoot the particular product that person has acquired. Samsung has numerous
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Financial Polynomials MAT 221: Introduction to Algebra Financial Polynomials Problem 90 on page 304 of the text book shares the steps and formula needed to square the binomial and multiplication for the Compounded semiannually. (Dugopolski‚ 2012) Using the formula provided‚ as well as the problems assigned‚ I will calculate the math to find the interest rate on an investment. This will help me in real life understand how to calculate interest on future savings. I will show all steps of the squaring
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