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 $S_{1}=4648, S_{2}=4672$, etc.).

Which of the following gives the average change in enrollment between 2001 and 2005 ?
A) $\frac{S_{7}+S_{8}+S_{9}+S_{10}}{4}$
B) $\frac{S_{6}+S_{7}+S_{8}+S_{9}}{4}$
C) $\frac{a_{7}+a_{8}+a_{9}+a_{10}}{4}$
D) $\frac{a_{6}+a_{7}+a_{8}+a_{9}}{4}$

Question

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 $S_{1}=4648, S_{2}=4672$, etc.).

Which of the following gives the average change in enrollment between 2001 and 2005 ?
A) $\frac{S_{7}+S_{8}+S_{9}+S_{10}}{4}$ 
B) $\frac{S_{6}+S_{7}+S_{8}+S_{9}}{4}$ 
C) $\frac{a_{7}+a_{8}+a_{9}+a_{10}}{4}$ 
D) $\frac{a_{6}+a_{7}+a_{8}+a_{9}}{4}$

Quizplus · Accepted Answer

The Answer of 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 $S_{1}=4648, S_{2}=4672$, etc.).

Which of the following gives the average change in enrollment between 2001 and 2005 ?
A) $\frac{S_{7}+S_{8}+S_{9}+S_{10}}{4}$ 
B) $\frac{S_{6}+S_{7}+S_{8}+S_{9}}{4}$ 
C) $\frac{a_{7}+a_{8}+a_{9}+a_{10}}{4}$ 
D) $\frac{a_{6}+a_{7}+a_{8}+a_{9}}{4}$

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

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