Find the sum. Use a graphing utility to verify your result. $\sum_{n=0}^{15} 10\left(\frac{7}{6}\right)^{n}$

Find the binomial coefficient. ${ }_{8} C_{6}$

Determine whether or not the sequence is arithmetic. If it is, find the common difference. 4, 9, 14, 19, 24, . . .

Which formula represents the sum of a finite geometric sequence? an infinite geometric series? (a) $S=\frac{a_{1}}{1-r},|r|<1$ (b) $S_{n}=a_{1}\left(\frac{1-r^{n}}{1-r}\right)$

One hundred college students were interviewed to determine their political party affiliations and whether they favored a balanced budget amendment to the U.S. Constitution. The results of the study are listed in the table, where D represents Democrat and R represents Republican.

$$\begin{matrix} \text{ } & \text{D} & \text{R} & \text{Total}\\ \text{Favor} & \text{23} & \text{32} & \text{55}\\ \text{Oppose} & \text{25} & \text{9} & \text{34}\\ \text{Unsure} & \text{7} & \text{4} & \text{11}\\ \text{Total} & \text{55} & \text{45} & \text{100}\\ \end{matrix}$$

A person is selected at random from the sample. Find the probability that the person selected is (a) a person who does not favor the amendment, (b) a Republican, and (c) a Democrat who favors the amendment.

Determine the number of ways in which a computer can randomly generate one or more such integers, or pairs of integers, from 1 through 15. An even integer

Write an expression for the apparent nth term of the sequence. (Assume n begins with 1.) $\frac{3}{2}, \frac{4}{3}, \frac{5}{4}, \frac{6}{5}, \frac{7}{6}, \dots$

Find the specified nth term in the expansion of the binomial. $(4 x+3 y)^{9}, n=8$

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume n begins with 1.) $a_{1}=6, a_{k+1}=a_{k}+2$

Evaluate $_nC_r$ using a graphing utility. $_{42}C_5$

Find the sum. Use a graphing utility to verify your result. $\sum_{n=1}^{7} 3(-4)^{n-1}$

Find the specified nth term in the expansion of the binomial. $(x-10 z)^{7}, n=4$

Evaluate $_nC_r$ using a graphing utility. $_{10}C_7$

Find the sum. Use a graphing utility to verify your result. $\sum_{n=0}^{20} 12\left(\frac{6}{5}\right)^{n}$