Exercise 4.1 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)
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using exactly the same logic. Answer: Student answers will vary widely. They should come up with processes that fit the generic logic shown in Figure 3-9. Some examples could include: making a dentist appointment or registering for a class. Pseudocode for each follows. if it’s time for your annual teeth cleaning call the dentist for an appointment tomorrow while the day and time you want isn’t available if another time the same day is available make the appointment at the
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PT1420 - Unit 2 Homework and Lab Assignment Unit 2 Assignment 1: Homework (material from Chapter 2of your text book) 1.) What is pseudocode? A.) Pseudocode is when you pre write a program in your own type of language to lay it out 2.) Computer programs typically perform what 3 steps. A.)Input‚ Process‚ Output. 3.) What 2 things must you normally specify in a variable declaration. A.)Type‚ Identifier. 4.) Write assignment statements that perform the following operations with the variables
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should be able to: Identify inputs‚ outputs‚ and processing components from a problem description. Work out solution algorithm for the defined problem with sequence‚ selection and repetition control structures. Write the solution algorithm with pseudocode. Task 1: Tutorial Short Questions. Task 2: Algorithms Development Problem 1. A simple problem with only sequence Problem 2. A problem with single selection Problem 3. A problem with multiple selections Problem 4. A problem with multiple selections
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PT1420 - Unit 2 Homework and Lab Assignment Unit 2 Assignment 1: Homework (material from Chapter 2of your text book) 1.) What is pseudocode? An informal language used to develop a programs design 2.) Computer programs typically perform what 3 steps. Input‚ Processing‚ and Output 3.) What 2 things must you normally specify in a variable declaration. Variable name and data type 4.) Write assignment statements that perform the following operations with the variables a‚ b‚ and c: a. Adds 2 to a and
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manufactures several types of candy. Design a flowchart or pseudocode for the following: a. A program that accepts a candy name (for example‚ “chocolate-covered blueberries”)‚ price per pound‚ and number of pounds sold in the average month‚ and displays the item’s data only if it is a best-selling item. Best-selling items are those that sell more than 2‚000 pounds per month. Answer: A sample solution is as follows: Pseudocode: start Declarations string name double pricePerPound
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CheckPoint: Programming Problems Complete the programming problems 1 and 2 as described below. DO NOT COMPLETE THE PROBLEMS FROM THE TEXT For each of the following problems‚ use the top-down modular approach when writing the pseudocode to design a suitable program to solve each problem. Be sure to include an “analysis” for each problem. Note: you need to write 2 separate programs that will handle each problem separately. That means you will also have 2 analyses. Problem 1 Design a program
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8-2 5. Write a pseudocode statement that declares the variable cost so it can hold real numbers. Floating-point variable cost 6. Write a pseudocode statement that declares the variable total so it can hold integers. Initialize the variable with the value 0. Declare Real price=99.95 Display "the original price." Input item original price Display "price" 7. Write a pseudocode statement that assigns the value 27 to the variable count. Count:=27 8. Write a pseudocode statement that assigns
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1) Discuss the SDLC (System Development Life Cycle) -SDLC stands for The System Development Life Cycle (SDLC) process applies to information system development projects ensuring that all functional and user requirements and agency strategic goals and objectives are met. The SDLC provides a structured and standardized process for all phases of any system development effort. These phases track the development of a system through several development stages from feasibility analysis‚ system planning
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Outcome 1 Outcome • Define structured programming and explain its advantages • Describe the sequence structure • Define a flowchart and describe its relationship to pseudocode • Convert flowcharts to their equivalent pseudocode • Convert pseudocode to JavaScript • Explain how programming concepts are implemented in pseudocode‚ flowcharts‚ and JavaScript Methods of Assessment Lab practical will be used to carry out these tasks‚ students will be prompted to develop programs in JavaScript. Online
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