1+ Objective: Learn how to -- use the counted for loops -- handle errors with a while loop Problem: In mathematics, the harmonic series is the divergent infinite series: 1 1 1 1 1 + 3 + + 2 + 4 5 Its name derives from the concept of overtones, or harmonies in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string's fundamental wavelength. Write a C++ program that uses a for loop to calculate the harmonic sum of the first num (positive integer) terms of the series. Include in the program, an error check (while loop) to ensure that a positive integer is entered for num. Also, output the harmonic sum as a fixed point with two places after the decimal. You should include an outer for loop to test the required number of cases. For example, if num = 3 calculate: n=1 For example, if num = 5 calculate: Suggested screen design: How many Harmonic Sumo to calculato? 3 Enter an integer: 1 Harmonic Sun: 1.00 Entor an integer: -3 Invalid Input. You must enter a positive integer Please enter another integer : -5 Invalid Input. You must enter a positive integer, Please enter another integer: 3 Harmonic Sum: 1.83 Enter an integer: 5 Harmonic Sum: 2.28 Press any key to continue for Loop (For Each Test Case) Input num while Loop (Error Check) for Loop to calculate Harmonic Sum Output Harmonic Sum (For Each Test Case)