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The 300 people who were lined up outside the amusement park had all entered by 8:15, and by 8:30, more had entered. The number who entered each 15 minutes increased steadily by after that, and all were planning to stay for the parade.

  1. How many people entered between 11:45 and 12:00 noon, just in time for the parade?

  2. Represent the problem as a series and write a formula for the nth term.

    Write the summation representing the total number of people who entered the amusement park to see the parade between 8:15 and 12:00.
    Write the formula for the sequence representing the number of people who entered the park during the nth quarter-hour