1. The nth term of an arithmetic sequence is given by un = 5 + 2n. (a) Write down the common difference. (1) (b) (i) (ii) Given that the nth term of this sequence is 115‚ find the value of n. For this value of n‚ find the sum of the sequence. (5) (Total 6 marks) 2. A sum of $ 5000 is invested at a compound interest rate of 6.3 % per annum. (a) Write down an expression for the value of the investment after n full years. (1) (b) What will be the value of the investment at
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This work MAT 126 Week 1 Assignment - Geometric and Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems: First Problem: question 35 page 230 Second Problem: question 37 page 230 Mathematics - General Mathematics Week One Written Assignment Following completion of your readings‚ complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World . For each exercise‚
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1. A line passes through the points (–3‚ –3) and (–1‚ 3). What is the slope of the line that passes through the two points? Hint X -3 -1/3 3 1/3 2. A line passes through the points (3‚ –4) and (7‚ 12). What is the y-intercept of the line? Hint X (0‚ 4) (4‚ 0) (0‚ –16) (–16‚ 0) 3. Consider the following system of equations. y = 8x - 8 y - 8x = 7 What can you conclude about the system of equations? Hint X The system of equations is inconsistent. The system
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11 ST Revision i) Multiply the following numbers and express in terms of a x 10k where 1 ≤a ≤ 10 and k ϵ Z: 3.2 x 104 5.6 x 10-2 ii) Add them and multiply by four. iii) Factorise x2 – 49 iv) Factorise 16x2 - 9 v) Factorise x2 – 7x + 12 vi) Solve x2 -7x + 12 = 0 vii) The first term of an arithmetic sequence is 8 and the common difference is 7. The nth term is 393. Find the value of n. viii) A geometric sequence has first term 2 and third term 32. Find the common Ratio. ix) Find
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Geometric and Arithmetic Sequences to Questions 35 & 37 MAT-126: Survey of Mathematical Methods(ACO1141A) October 11‚ 2011 As one observes an arithmetic sequence‚ it is imperative to use inductive and deductive reasoning to use the right mathematical approach of geometric or arithmetic sequence to solve the equation in the most pragmatic way. Most times both inductive and deductive reasoning is used on an equation or variable to come up with the most direct approach to an answer
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Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
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Why I have chosen aviation as my career. Ever since I went for a ride in my friends Dad’s Zenith Skyjeep I have had a passion for flying. I was thrown back by the whole atmosphere of the flight. Soon after this I decided to make sure it wasn’t a one off. I went for a trial flight with Quantum Aviation in Whangarei. This was undoubtedly enough‚ I was hooked. The start of this year presented itself with two options. I had to decide between having a gap year or getting stuck
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Eric Sorenson Chem 461 The Progression of Amphetamine Usage Introduction Amphetamine and other related stimulants stimulants such as methylphenidate are common drugs used to combat physical and mental fatigue. Originally developed for their nasal decongestant abilities these stimulants become a major component in child and adolescent medicine. Why have we seen‚ in the last two decades‚ this street drug known as “speed” become increasingly more prevalent in the younger developing generations
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In this week’s assignment I will attempt complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World. For each exercise‚ specify whether it involves an arithmetic sequence or a geometric sequence and use the proper formulas where applicable. I will try to format my math work as shown in the “week one assignment guide” provided to us and try to be concise in my reasoning. Exercise 35: A person hired to build a CB Radio tower. The firm charges
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“Malthusian views of the relationship between population and food remain relevant today.” Discuss this statement. According to Malthusian theory of population‚ population increases in a geometrical ratio‚ whereas food supply increases in an arithmetic ratio. This imbalance would lead to widespread poverty and starvation‚ which would only be checked by natural occurrences such as disease‚ high infant mortality‚ famine‚ war or moral restraint. However‚ this theory is wrong in circumstances now
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