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A triangular number or triangle number counts the objects that can form an equilateral triangle. The na triangle number is the number of dots or balls in a triangle with n dots on a side; it is the sum of the n natural numbers from I to n. Mathematically, the na triangular number T, is defined as: n(n +1) T. Write a C++ program that: • reads a positive integer k from the user. If the user enters a negative value, then the program should continue prompting until he/she enters a positive integer value. • Then, the program should compute a series of first k triangular number and display them as illustrated in the sample output. • Also the program will count how many ODD and EVEN triangular numbers in the series(respectively) and display it as illustrated in the sample output. • Finally, the program will compute and sum up the members of the series and display the result as illustrated in the sample output. The program must use at least two functions as following: 1. A function to compute the i triangular number using the above equation for a given number i, and returns it to the main program. Prototype: int triNumber (int 1): 2. A function to determine the case of the given number if it is ODD or EVEN. The function should returm 'true' if the given number is ODD; otherwise it returns FALSE. Then the main program uses this result when needed for the report display. Prototype: bool isodd (int num); Sample Output: CAeeDekte tes Enter a positive integer value to compute the series of triangle numbers: 5 The report of computed series The series of first 5 central triangle numbers: 0136 10 The total number of odd integers in the series: 2 The total number of even integers in the series: 3 The total sum of the series: 20

A triangular number or triangle number counts the objects that can form an equilateral triangle. The na triangle number is the number of dots or balls in a triangle with n dots on a side; it is the sum of the n natural numbers from I to n. Mathematically, the na triangular number T, is defined as: n(n +1) T. Write a C++ program that: • reads a positive integer k from the user. If the user enters a negative value, then the program should continue prompting until he/she enters a positive integer value. • Then, the program should compute a series of first k triangular number and display them as illustrated in the sample output. • Also the program will count how many ODD and EVEN triangular numbers in the series(respectively) and display it as illustrated in the sample output. • Finally, the program will compute and sum up the members of the series and display the result as illustrated in the sample output. The program must use at least two functions as following: 1. A function to compute the i triangular number using the above equation for a given number i, and returns it to the main program. Prototype: int triNumber (int 1): 2. A function to determine the case of the given number if it is ODD or EVEN. The function should returm 'true' if the given number is ODD; otherwise it returns FALSE. Then the main program uses this result when needed for the report display. Prototype: bool isodd (int num); Sample Output: CAeeDekte tes Enter a positive integer value to compute the series of triangle numbers: 5 The report of computed series The series of first 5 central triangle numbers: 0136 10 The total number of odd integers in the series: 2 The total number of even integers in the series: 3 The total sum of the series: 20

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 21PE
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A triangular number or triangle number counts the objects that can form an equilateral triangle. The na triangle number is the number of dots or balls in a triangle with n dots on a side; it is the sum of the n natural numbers from I to n. Mathematically, the na triangular number T, is defined as: n(n +1) T. Write a C++ program that: • reads a positive integer k from the user. If the user enters a negative value, then the program should continue prompting until he/she enters a positive integer value. • Then, the program should compute a series of first k triangular number and display them as illustrated in the sample output. • Also the program will count how many ODD and EVEN triangular numbers in the series(respectively) and display it as illustrated in the sample output. • Finally, the program will compute and sum up the members of the series and display the result as illustrated in the sample output. The program must use at least two functions as following: 1. A function to compute the i triangular number using the above equation for a given number i, and returns it to the main program. Prototype: int triNumber (int 1): 2. A function to determine the case of the given number if it is ODD or EVEN. The function should returm 'true' if the given number is ODD; otherwise it returns FALSE. Then the main program uses this result when needed for the report display. Prototype: bool isodd (int num); Sample Output: CAeeDekte tes Enter a positive integer value to compute the series of triangle numbers: 5 The report of computed series The series of first 5 central triangle numbers: 0136 10 The total number of odd integers in the series: 2 The total number of even integers in the series: 3 The total sum of the series: 20
Transcribed Image Text:A triangular number or triangle number counts the objects that can form an equilateral triangle. The na triangle number is the number of dots or balls in a triangle with n dots on a side; it is the sum of the n natural numbers from I to n. Mathematically, the na triangular number T, is defined as: n(n +1) T. Write a C++ program that: • reads a positive integer k from the user. If the user enters a negative value, then the program should continue prompting until he/she enters a positive integer value. • Then, the program should compute a series of first k triangular number and display them as illustrated in the sample output. • Also the program will count how many ODD and EVEN triangular numbers in the series(respectively) and display it as illustrated in the sample output. • Finally, the program will compute and sum up the members of the series and display the result as illustrated in the sample output. The program must use at least two functions as following: 1. A function to compute the i triangular number using the above equation for a given number i, and returns it to the main program. Prototype: int triNumber (int 1): 2. A function to determine the case of the given number if it is ODD or EVEN. The function should returm 'true' if the given number is ODD; otherwise it returns FALSE. Then the main program uses this result when needed for the report display. Prototype: bool isodd (int num); Sample Output: CAeeDekte tes Enter a positive integer value to compute the series of triangle numbers: 5 The report of computed series The series of first 5 central triangle numbers: 0136 10 The total number of odd integers in the series: 2 The total number of even integers in the series: 3 The total sum of the series: 20
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