Chapter 10

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person is divorced.

Evaluate the given binomial coefficient. $$\left(\begin{array}{l}8 \\\3\end{array}\right)$$

Write the first six terms of each arithmetic sequence. $$a_{1}=200, d=20$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=3 n+2$$

Write the first five terms of each geometric sequence. $$a_{1}=5, \quad r=3$$

Write the first six terms of each arithmetic sequence. $$a_{1}=300, d=50$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person has never been married.

Evaluate the given binomial coefficient. $$\left(\begin{array}{l}7 \\\2\end{array}\right)$$

Use the formula for \(_{n} P_{r}\) to evaluate each expression. $$_{7} P_{3}$$

Write the first five terms of each geometric sequence. $$a_{1}=4, \quad r=3$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=4 n-1$$

Write the first six terms of each arithmetic sequence. $$a_{1}=-7, d=4$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person is female.

Evaluate the given binomial coefficient. $$\left(\begin{array}{l}12 \\\1\end{array}\right)$$

Write the first five terms of each geometric sequence. $$a_{1}=20, \quad r=\frac{1}{2}$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=3^{n}$$

Write the first six terms of each arithmetic sequence. $$a_{1}=-8, d=5$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person is male.

Evaluate the given binomial coefficient. $$\left(\begin{array}{c}11 \\\1\end{array}\right)$$

Write the first five terms of each geometric sequence. $$a_{1}=24, \quad r=\frac{1}{3}$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=\left(\frac{1}{3}\right)^{n}$$

Write the first six terms of each arithmetic sequence. $$a_{1}=300, d=-90$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person is a widowed male.

Evaluate the given binomial coefficient. $$\left(\begin{array}{l}6 \\\6\end{array}\right)$$

Use the formula for \(_{n} P_{r}\) to evaluate each expression. $$_{6} P_{6}$$

Write the first five terms of each geometric sequence. $$a_{n}=-4 a_{n-1}, \quad a_{1}=10$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=(-3)^{n}$$

Write the first six terms of each arithmetic sequence. $$a_{1}=200, d=-60$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person is a widowed female.

Evaluate the given binomial coefficient. $$\left(\begin{array}{c}15 \\\2\end{array}\right)$$

Write the first five terms of each geometric sequence. $$a_{n}=-3 a_{n-1}, \quad a_{1}=10$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=\left(-\frac{1}{3}\right)^{n}$$

Write the first six terms of each arithmetic sequence. $$a_{1}=\frac{5}{2}, d=-\frac{1}{2}$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person Among those who are divorced, find the probability of selecting a woman.

Evaluate the given binomial coefficient. $$\left(\begin{array}{c}100 \\\2\end{array}\right)$$

Write the first five terms of each geometric sequence. $$a_{n}=-5 a_{n-1}, \quad a_{1}=-6$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=(-1)^{n}(n+3)$$

Write the first six terms of each arithmetic sequence. $$a_{1}=\frac{3}{4}, d=-\frac{1}{4}$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person Among those who are divorced, find the probability of selecting a man.

Evaluate the given binomial coefficient. $$\left(\begin{array}{c}100 \\\98\end{array}\right)$$

Write the first five terms of each geometric sequence. $$a_{n}=-6 a_{n-1}, \quad a_{1}=-2$$

Write the first four terms of each sequence whose general term is given. $$a_{n}=(-1)^{n+1}(n+4)$$

Write the first six terms of each arithmetic sequence. $$a_{n}=a_{n-1}+6, a_{1}=-9$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person Among men, find the probability of selecting a married person.

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$(x+2)^{3}$$

Use the formula for the general term (the nth term of a geometric sequence to find the indicated term of each sequence with the given first term, \(a_{1},\) and common ratio, \(r\). Find \(a_{8}\) when \(a_{1}=6, r=2\).

Write the first four terms of each sequence whose general term is given. $$a_{n}=\frac{2 n}{n+4}$$

Write the first six terms of each arithmetic sequence. $$a_{n}=a_{n-1}+4, a_{1}=-7$$

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Married } & \text { Never } & \text { Divorced } & \text { Widowed } & \text { Total } \\ \hline \text { Male } & 65 & 40 & 10 & 3 & 118 \\ \hline \text { Female } & 65 & 34 & 14 & 11 & 124 \\ \hline \text { Total } & 130 & 74 & 24 & 14 & 242 \\ \hline \end{array}$$ If one person is randomly selected from the population described in the table, find the probability, expressed as a simplified fraction and as a decimal to the nearest hundredth, that the person Among women, find the probability of selecting a married person.

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$(x+4)^{3}$$