Brainstorming Quiz, Day - 7 Solution

Answer:173 We used Python to implement an algorithm that calculates the Sponsor sequence and identifies the 50th element. Here's the code:

def find_nth_sponsor_element(n):
    sponsor_sequence = [2, 9, 15]
    current = 16  # Start from the next number after the last in the initial list

    while len(sponsor_sequence) < n:
        is_sponsor = True
        for x in sponsor_sequence:
            if current % x == 0:  # Check divisibility condition
                is_sponsor = False
                break

        if is_sponsor:
            sponsor_sequence.append(current)

        current += 1  # Move to the next number

    return sponsor_sequence[n-1]  # Return only the nth element

# Find the 50th element
fiftieth_element = find_nth_sponsor_element(50)
print('The 50th sponsor element is:', fiftieth_element)