The following table shows the enrollment in a private college for the years 1996 to 2005. Interpret these figures as partial sums, $S_{n}$, of terms of a sequence, $a_{n}$, where $\mathrm{n}$ is the number of years since 1995 (so $S_{1}=4449, S_{2}=4478$, etc.).
$$\begin{array}{ccccccccccc}
\text { year } & 1996 & 1997 & 1998 & 1999 & 2000 & 2001 & 2002 & 2003 & 2004 & 2005 \
\text { enrollment } & 4449 & 4478 & 4528 & 4575 & 4590 & 4562 & 4598 & 4693 & 4740 & 4773
\end{array}$$
Which of the following gives the total enrollment in 2004?
A) $S_{9}$
B) $S_{10}$
C) $a_{9}$
D) $a_{10}$

Question

Quizplus · Accepted Answer

The total enrollment in 2004 is the partial sum of the terms of the sequence up to the 9th term, since 2004 is 9 years after 1995. Therefore, the total enrollment in 2004 is $S_{9}$.

The Following Table Shows the Enrollment in a Private College SnS_{n}Sn​

The Following Table Shows the Enrollment in a Private College $S_{n}$