Exercise 2 – Sum of Sequential Integers Write a program that asks the user for N and then sum all the integers (inclusive) between 1 and N. Enter N:10Sum = 55 %3D Do this in a loop that counts up 1 to N and in each iteration adds the current count to the sum. Another way to calculate the same thing is through a formula: sum = (n*(n+1))/2 Modify your program so that it calculates the sum both ways: Enter N: 10Loop Sum = 55 Formula Sum = 55 %3D You might worry that the formula will lead to integer division problems. But it works as is. Why? (Hint: think about even and odd.) The sum of sequential integers 1 to N is called a triangle number. See the exercises for chapter 25.

Exercise 2 – Sum of Sequential Integers Write a program that asks the user for N and then sum all the integers (inclusive) between 1 and N. Enter N:10Sum = 55 %3D Do this in a loop that counts up 1 to N and in each iteration adds the current count to the sum. Another way to calculate the same thing is through a formula: sum = (n*(n+1))/2 Modify your program so that it calculates the sum both ways: Enter N: 10Loop Sum = 55 Formula Sum = 55 %3D You might worry that the formula will lead to integer division problems. But it works as is. Why? (Hint: think about even and odd.) The sum of sequential integers 1 to N is called a triangle number. See the exercises for chapter 25.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section: Chapter Questions

Problem 9PP

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