(Solved): Please use python to code the following: (use loops if necessary) Activity #3: Balancing numbers - i ...

Activity #3: Balancing numbers - individual A positive number \( n \) is a balancing number if the sum of numbers from 1 to \( (n-1) \) is equal to the sum of numbers \( (n+1) \) to \( (n+r) \) where \( r \) is a positive integer. Check out the first few minutes of this video for an explanation and examples: https://www, youtube.com/watch?v=iMfz9jRsHSI. For example, 6 is a balancing number with \( r \) of 2 . That means the numbers 1 through 5 sum to the same amount as the next two integers after 6 (7 and 8\( ) \) ). In other words, \[ \underbrace{1+2+3+4+5}_{15}=\underbrace{7+8}_{15} \] Write a program named balancing_numbers.py that takes in an integer value \( n \) from the user and determines if it is a balancing number. If \( n \) is a balancing number, output the corresponding value of \( r \). Do NOT use any containers like lists, tuples, sets, and dictionaries, or the sum () function. Format your output as shown below. Example output (using input 6): Enter a value for \( n: 6 \) 6 is a balancing number with \( \quad x=2 \) Example output (using input 102): Enter a value for n: 102 102 is not a balancing number