<p>CMPT 201 Fall 2017 Homework 4 Due: Friday, October 27 at 11AM</p><p>Please print your name and assignment number and submit a hardcopy (printout) of your solution. Your solution to each problem should include the C++ source code and the screenshot of the a test run. A solution without a test run will have points deducted.</p><p>1. (Characters for the ASCII Codes) Write a program that uses a for loop to display the characters for the ASCII codes 32 through 127. Display 16 characters on each line.</p><p>2. (Estimates of Pi) An approximate value of pi can be calculated using the series given below: </p><p> pi = 4 [1 – 1/3 + 1/5 – 1/7 + 1/9 ... + ((-1)n)/(2n + 1) ]</p><p>Write a program to calculate the approximate value of pi using this series. The program takes an input n that determines the number of terms in the approximation of the value of pi and outputs the approximation.</p><p>3. (Prime Numbers) Write a program that finds and prints all of the prime numbers between 3 and 100. A prime number is a number such that 1 and itself are the only numbers that evenly divide it (for example, 3, 5, 7, 11, 13, 17, ...). One way to solve this problem is to use a doubly nested loop. The outer loop can iterate from 3 to 100 while the inner loop checks to see if the counter value for the outer loop is prime. One way to see if number n is prime is to loop from 2 to n – 1 and if any of these numbers evenly divides n, then n must be prime. (Extra credit will be given if a more efficient algorithm is developed.)</p>