write a C++ console application that approximates PI. Use a validation loop to prompt for and get from the user the number of terms to approximate PI to that is at least 1. Use the following Leibniz formula: PI approximation = 4 * (1/1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 + …) The terms appear within the parentheses in the formula. A PI approximation to … One term is 4 * (1/1) = 4 Four terms = 4 * (1/1 – 1/3 + 1/5 – 1/7) = 2.8952380952 Seven terms = 4 * (1/1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 + 1/13) = 3.2837384837 Use a for statement to calculate the approximation. Within the loop, use condition i % 2 == 0 to determine whether the loop iteration is even or odd. Format all real numbers to ten decimal places. Continue to prompt the user for terms until they enter a sentinel value of 99. Note that your prompt before the sentinel loop and at the end of the loop is a validation loop rather than a simple prompt. Loop the program five times with increasing values for the number of terms. What are the results?
Control structures
Control structures are block of statements that analyze the value of variables and determine the flow of execution based on those values. When a program is running, the CPU executes the code line by line. After sometime, the program reaches the point where it has to make a decision on whether it has to go to another part of the code or repeat execution of certain part of the code. These results affect the flow of the program's code and these are called control structures.
Switch Statement
The switch statement is a key feature that is used by the programmers a lot in the world of programming and coding, as well as in information technology in general. The switch statement is a selection control mechanism that allows the variable value to change the order of the individual statements in the software execution via search.
You've been hired by Leibniz Lauders to write a C++ console application that approximates PI. Use a validation loop to prompt for and get from the user the number of terms to approximate PI to that is at least 1. Use the following Leibniz formula:
PI approximation = 4 * (1/1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 + …)
The terms appear within the parentheses in the formula. A PI approximation to …
- One term is 4 * (1/1) = 4
- Four terms = 4 * (1/1 – 1/3 + 1/5 – 1/7) = 2.8952380952
- Seven terms = 4 * (1/1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 + 1/13) = 3.2837384837
Use a for statement to calculate the approximation. Within the loop, use condition i % 2 == 0 to determine whether the loop iteration is even or odd. Format all real numbers to ten decimal places. Continue to prompt the user for terms until they enter a sentinel value of 99. Note that your prompt before the sentinel loop and at the end of the loop is a validation loop rather than a simple prompt. Loop the
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