Calculate the minimum value of n. (4) (Total 6 marks) 3. (a) Consider the geometric sequence −3‚ 6‚ −12‚ 24‚ …. (i) (ii) Write down the common ratio. Find the 15th term. (3) Consider the sequence x − 3‚ x +1‚ 2x + 8‚ …. IB Questionbank Maths SL 1 (b) When x = 5‚ the sequence is geometric. (i) (ii) Write down the first three terms. Find the common ratio. (2) (c) Find the other value of x for which the sequence is geometric. (4) (d) For this value of x‚ find (i) (ii)
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The GMAT Math Bible Je¤ Sackmann / GMAT HACKS May 2008 Contents 1 Introduction 2 How to Use This Book 3 GMAT Math Strategies 4 Basic Facts and De…nitions 5 Mental Math 6 Mental Math: Drill 7 Algebra: Fractions 8 Algebra: Fractions: Drill 9 Algebra: Fractions: Practice 10 Algebra: Decimals 11 Algebra: Decimals: Drill 12 Algebra: Decimals: Practice 13 Algebra: Simplifying Expressions 14 Algebra: Simplifying Expressions: Drill 15 Algebra: Simplifying Expressions: Practice 16 Algebra: Linear Equations
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Math 030 Review for Exam #4 1. Express in terms of i: a. Revised Spring 2010 RH/DM 1 −4 b. − 12 c. −3 d. − 3 • − 12 e. 2i • 5i f. − 7i • 9i 2. Perform the indicated operations: a. (5 − 2i ) − (3 − 7i ) b. (2 + 6i ) + (3 − 7i ) (− 5 + 7i ) + (5 − 2i ) c. (13 + 9i ) − (− 6 + 8i ) d. e. (4 − 5i ) 2 f. (7 − 2i )(7 + 2i ) g. (3 + 4i )(5 + 2i ) h. (2 − 3i )(2 + 3i ) 3. Solve by factoring: a. x 2 − x = 42 b. 2 x 2 − 5
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FINANCIAL MATHEMATICS 1. RATE OF RETURN 2. SIMPLE INTEREST 3. COMPOUND INTEREST 4. MULTIPLE CASH FLOWS 5. ANNUITIES 6. LOAN REPAYMENT SCHEDULES Financial Math Support Materials Page 1 of 85 (1) RATE OF RETURN FINANCIAL MATHEMATICS CONCERNS THE ANALYSIS OF CASH FLOWS BETWEEN PARTIES TO A CONTRACT. IF MONEY IS BORROWED THERE IS AN INTIAL CASH INFLOW TO THE BORROWER BUT AFTERWARDS THERE WILL BE A CASH OUTFLOW IN THE FORM OF REPAYMENTS. A person
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(a) How is math an integral part of our day to day life? "In mathematics‚ you don’t understand things. You just get used to them." -- Johann von Neumann Math is an integral part in a human being’s day to day life. We often look upon math in disdain however‚ we use math at every moment of our life and it plays a vital role in our life. The procedure of applying mathematics starts as early as you are born because the first thing known about your life is your time and date of birth‚ so your
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MATH INVESTIGATION 4.2 FACTORIZATIONS on the Math Investigator determines if a number is prime or composite. If a number is composite‚ it prints all its factors‚ the number of factors‚ and its prime factorization. The numbers 1‚ 2‚ 4‚ and 6 have 1‚ 2‚ 3‚ and 4 factors‚ respectively: 1 has only 1 as a factor; 2 has 1 and 2 as factors; 4 has 1‚ 2‚ and 4 as factors; and 6 has 1‚ 2‚ 3‚ and 6 as factors. These factors are illustrated by the rectangles shown here. Starting Points for Investigations
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howstuffworks.com/gif/scientific-method-17.jpg The scientific method is a series of steps used to identify and execute hypothesies in an attempt to clarify scientific processes. The scientific method will be applied to the following scenario: ● You arrive home late at night. You walk up to the front door‚ unlock it‚ and reach in to turn on the light switch located just inside the front door. The light does not come on! Now what? Accoring to the scientific method the first step in this situation
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Strayer Nuiversity The religions I selected are Buddhism and Jainism 1. Buddhism Geographical Origins of Buddhism Buddhism originated in India during the sixth century B.C.E.‚ and its founding figure‚ Buddha‚ was a contemporary of Confucius in China and the early Greek philosophers‚ antedating Jesus by 500 years and Muhammad by a millennium (Candice Goucher‚ 1998). Cultural Origins of Buddhism: Buddhists believe that the Buddha (meaning “the awakened”) awakened to the laws of the universe‚ which
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Dear Sam‚ I know that you had some questions about the health care field. As you may know health care has become a multibillion-dollar industry in the United States. Ten occupations within this area are expected to be in some of the fastest growing jobs in the next few years. According to Employment Projections program few of those jobs are physician assistants‚ physical therapists‚ home health aides‚ occupational therapist assistants‚ and medical secretaries. These careers require direct contact
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Math Introduction By Kyla Reams What is Mathematics? Mathematics is the language used to understand and express measurable relationships. It is a type of science that surrounds use in our daily lives‚ giving us reasons for order and encourages the process of problem solving. Technically‚ Mathematics consists of several different
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