Homework6

** * Problem 6.5 - Using Nested Loops, Part 2 In a new code cell, use nested for loops to print the asterisk pattern, so it looks like this: 12345 asterisk pattern * ** *** **** ***** * ** *** **** ***** Problem 6.6 - Approximate Pi Write a program which will ask a user for the precision required and will then approximate Pi to the requested precision using the Gregory series: Hint : Look up how we estimated Euler’s number e during the lecture 3.1416426510898874 Problem 6.7 - CPX Write a program that varies the tone played by the speaker based on light intensity. Refresh the tone every 0.5 seconds. The program should run for 10 seconds each time you run it, after which it quits. You will have to experiment a little to calibrate the program, so it plays a tone in the light conditions that you are operating in. In [7]: for i in range ( 1 , 6 ): for j in range ( 0 , 5 - i ): print ( " " , end = "" ) for k in range ( 1 , i + 1 ): print ( "*" , end = "" ) print () In [6]: import math pi = 0 k = 1 epsilon = 1000 Targeted_precision = float ( input ( "Enter your targeted precision" )) while ( abs ( epsilon ) > Targeted_precision ): prev_pi = pi pi += ( 4 * ((( - 1 ) ** ( k + 1 )) / (( 2 * k ) - 1 ))) k += 1 epsilon = abs ( pi - prev_pi ) print ( pi )