### Home > CCA2 > Chapter 10 > Lesson 10.1.1 > Problem10-8

10-8.

The $300$ people who were lined up outside the amusement park had all entered by $8$:$15$ a.m. By $8$:$30$, $550$ more had entered. The number who entered each $15$ minutes increased steadily by $250$ after that. All of the people were planning to stay for the parade at noon.

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

$4050$

2. Represent the problem as a series and write a formula for the $n$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 nth quarter-hour.