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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down three squares and start the sequence again but while going in that direction. So after you go down three you will go left one and then up two and you just keep going in that same pattern. When I started my series of spiralaterals I started with trying to find out what would happen when you switched the order of the numbers and I saw a pattern. The concept I explored using spiralaterals was whether or not changing the order of the three numbers of the sequence would change the shape‚ size or
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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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Every project involves a series of required tasks. These tasks are listed in a table allowing additional information on sequence and timing to be added later. 2. Placing the Tasks in a Proper Sequence: The tasks are analyzed and placed in a sequence to get the desired results. 3. Network Diagramming: A network diagram is drawn using the activity sequence data showing the sequence of serial and parallel activities. 4. Time Estimating: This is the time required to carry out each activity‚ in three
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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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(ZC) sequences [2‚ 3]‚ which satisfy a Constant Amplitude Zero Autocorrelation (CAZAC) property. A ZC sequence is a complex-valued mathematical sequence which exhibits the useful property that cyclically shifted versions of it is orthogonal to each other. The sequence used for the primary synchronization signal is generated from a frequency-domain ZC sequence according to the equation‚ N ZC u ZC = e πun n+1 NZC −j ; n = 0‚1‚2 ... ‚ N ZC − 1 Where N ZC = 63‚ is the length of the sequence‚ u
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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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