
    Given a student's sequence of performance scores from n learning activities and knowing this learning cycle repeats k times, determine the highest cumulative performance streak possible across all repeated cycles. The performance streak must consist of consecutive scores, can span across cycle repetitions, and should identify the maximum potential growth period in the student's learning journey.
    

    
def max_sub_array_sum_repeated(a, n, k):
    """
    Given a student's sequence of performance scores from n learning activities and knowing this learning cycle repeats k times, determine the highest cumulative performance streak possible across all repeated cycles. The performance streak must consist of consecutive scores, can span across cycle repetitions, and should identify the maximum potential growth period in the student's learning journey.
    

    """
def max_sub_array_sum_repeated(a, n, k):
    """
    Given a student's sequence of performance scores from n learning activities and knowing this learning cycle repeats k times, determine the highest cumulative performance streak possible across all repeated cycles. The performance streak must consist of consecutive scores, can span across cycle repetitions, and should identify the maximum potential growth period in the student's learning journey.
    

    """
    max_so_far = -2147483648
    max_ending_here = 0
    for i in range(n * k):
        max_ending_here = max_ending_here + a[i % n]
        if max_so_far < max_ending_here:
            max_so_far = max_ending_here
        if max_ending_here < 0:
            max_ending_here = 0
    return max_so_far