ASSIGNMENT 1 1. For a given arithmetic sequence‚ the sum of the third term and the sixth term is 86. The eleventh term is 56. Find the a) first term and the common difference. (6m) b) nth term. (2m) 2. A couple estimates that the expense of caring for their baby will increase by RM1.80 from the previous month’s expenses. The cost for the first month when the baby was born was RM22. What a) were the expenses for the 10th month and the 15th month after the baby was born? (4m) b) were the
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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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Arithmetic Sequence Word Problem HELP? A child is creating a pyramid with building blocks. The top three levels include 3 blocks‚ 7 blocks‚ and 11 blocks. Part 1: How many blocks would be needed for a pyramid 25 levels tall? (5 points) Part 2: Use complete sentences to explain how a sum of an arithmetic series was applied. (4 points) Source: http://answers.yahoo.com/question/index?qid=20111127094327AAEsney 1.) Starting May 1‚ a new store will begin giving away 500 posters as a promotion. Each day
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Consider the arithmetic sequence 2‚ 5‚ 8‚ 11‚ ..... (a) Find u101. (3) (b) Find the value of n so that un = 152. (3) (Total 6 marks) 6. Gwendolyn added the multiples of 3‚ from 3 to 3750 and found that 3 + 6 + 9 + … + 3750 = s. Calculate s. (Total 6 marks) 7. Find the coefficient of a5b7 in the expansion of (a + b)12. (Total 4 marks) 8. Find the term containing x10 in the expansion of (5 + 2x2)7. (Total 6 marks) 9. The second term of an arithmetic sequence is 7. The sum of the first
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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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solution for the flow shop scheduling problem with make-span minimization as the primary criterion and the minimization of either the mean completion time‚ total waiting time or total idle time as the secondary criterion. The objective is to determine a sequence of operations in which to process ‘n’ jobs on ‘m’ machines in same order (flow shop environment) where skipping is allowed. The Simulation approach for deterministic and stochastic flow shop scheduling has been developed. It reads and manipulates
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weekends. From the time allowed how will the operation manger choose the best scheduling from the given methods (First Come‚ First Serve (FCFS)‚ Shortest Processing Time (SPT)‚ Earliest Due Date (EDD)‚ and Critical Ratio (CR) methods. Objectives Job sequence is a significant task to decide‚ because it goes both ways either going to slow down the production method or speed it up. An
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I Aim: In this task‚ you will investigate the sum of infinite sequences tn ‚ where t0 = 1‚ t1 = ( x ln a ) ( x ln a ) 2 ( x ln a )3 ( x ln a) n … ‚ tn = …. ‚ t2 = ‚ t3 = n! 1 2 ×1 3 × 2 ×1 A notation that you may find helpful in this task is the factorial notation n ! ‚ defined by n= n(n − 1)(n − 2)....3 × 2 × 1 ! e.g. 5! = 5 × 4 × 3 × 2 ×1 (= 120) Note that 0 ! = 1 Consider the following sequence of terms where x = 1 and a = 2 . (ln 2) (ln 2) 2 (ln 2)3 1‚ ‚
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sentences associated with the theme being modeled‚ but we will also be able to help recognize phrases and sentences. In other words‚ this is a module which could be part of an automatic speech recognition system‚ so that proposed recognized word sequences can be validated according to acceptable contexts. The system is adaptive and incremental‚ since models can be modified with additional training sentences‚ which would expand a previously established capacity. Key words: corpus‚ vocabulary‚ training
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and value of play‚ creativity and creative practice in school with reference to the module materials. Describe briefly the audio-visual sequence and activities you will be discussing. 2 The importance of play in learning (about 1000 words) Answer the following questions by discussing either your own chosen activity from school or your chosen audio-visual sequence: What does playful activity bring to the curriculum and to school life more widely? In what ways does it enhance learning? For your
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