Let $P_{n}$ be the number of people visiting an amusement park on the n^th day after it opens.Suppose $P_{n}=2000-4 n$ .How many people visit the amusement park in its first week? A)13888 B)13916 C)224 D)14000

Question

Quizplus · Accepted Answer

To find the total number of visitors in the first week, we sum $P_n$ from $n=1$ to $n=7$. $P_n = 2000 - 4n$, so the total is $\sum_{n=1}^{7} (2000 - 4n) = 7(2000) - 4(1+2+3+4+5+6+7) = 14000 - 4(28) = 14000 - 112 = 13888.$

Let PnP_{n}Pn​ Be the Number of People Visiting an Amusement Park on Park

Let $P_{n}$ Be the Number of People Visiting an Amusement Park on Park