A triangular number or triangle number counts the objects that can form an equilateral triangle. The nth 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 1 to n. Mathematically, the nth triangular number Tn is defined as: Tn=n(n+1)/2 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 ith triangular number using the above equation for a given number i, and returns it to the main program. Prototype: int triNumber(int i); 2. A function to determine the case of the given number if it is ODD or EVEN. The function should return ‘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);

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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A triangular number or triangle number counts the objects that can form an equilateral triangle.
The nth 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 1 to n.
Mathematically, the nth triangular number Tn is defined as:

Tn=n(n+1)/2
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 ith triangular number using the above equation for a given
number i, and returns it to the main program.
Prototype: int triNumber(int i);
2. A function to determine the case of the given number if it is ODD or EVEN. The
function should return ‘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);