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The people who are lined up outside an amusement park all enter by 8:15 a.m. By 8:30, more people enter. After 8:30, every minutes the number of people who enter increases steadily by . All of the people are planning to stay for the parade at noon.

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

  2. Represent the problem as a sequence and write a formula for the th 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 th quarter-hour.