Practice Test B

In Problems 1 and 2, write the first five terms of each sequence. State whether the sequence is arithmetic or geometric.

$a_{n} = 4 (2 n - 3)$ $a_{n} = 4 (2 n - 3)$
1. $- 1, 1, 3, 5, 7;$ $- 1, 1, 3, 5, 7;$ arithmetic
2. $- 1, 1, 3, 5, 7;$ $- 1, 1, 3, 5, 7;$ geometric
3. $- 4, 4, 12, 20, 28;$ $- 4, 4, 12, 20, 28;$ arithmetic
4. $- 4, 4, 12, 20, 28;$ $- 4, 4, 12, 20, 28;$ geometric
$a_{n} = 2 (4^{n})$ $a_{n} = 2 (4^{n})$
1. 2, 8; 32, 128, 512; arithmetic
2. 2, 8, 32, 128, 512; geometric
3. 8, 32, 128, 512, 2048; arithmetic
4. 8, 32, 128, 512, 2048; geometric
Write the first five terms of the sequence defined by $a_{1} = 5$ $a_{1} = 5$ and $a_{n} = 2 a_{n - 1} + 4$ $a_{n} = 2 a_{n - 1} + 4$ , for $n \geq 2$ $n \geq 2$ .
1. 5, 14, 32, 68, 140
2. 5, 14, 19, 24, 29
3. 5, 9, 13, 17, 21
4. 5, 8, 10, 12, 14
Evaluate $\frac{(n + 2)!}{n + 2}$ $\frac{(n + 2)!}{n + 2}$ .
1. 2!
2. 1
3. $(n + 1)!$ $(n + 1)!$
4. $n + 1$ $n + 1$
Find $a_{8}$ $a_{8}$ for the arithmetic sequence with $a_{1} = - 6$ $a_{1} = - 6$ and $d = 3 .$ $d = 3 .$
1. 15
2. $- 271$ $- 271$
3. 30
4. 18
Find $a_{10}$ $a_{10}$ for the geometric sequence with $a_{1} = 247$ $a_{1} = 247$ and $r = \frac{1}{3} .$ $r = \frac{1}{3} .$
1. $250$ $250$
2. $\frac{247}{19,683}$ $\frac{247}{19,683}$
3. $\frac{247}{59,049}$ $\frac{247}{59,049}$
4. $\frac{247}{177,147}$ $\frac{247}{177,147}$

In Problems 7 and 8, find each sum.

$\sum_{k = 1}^{45} (4 k - 7)$ $\sum_{k = 1}^{45} (4 k - 7)$
1. 4185
2. 3735
3. 4027.5
4. 3825
$\sum_{k = 1}^{5} (\frac{4}{3}) (2^{k})$ $\sum_{k = 1}^{5} (\frac{4}{3}) (2^{k})$
1. $\frac{248}{3}$ $\frac{248}{3}$
2. $\frac{251}{3}$ $\frac{251}{3}$
3. $\frac{242}{3}$ $\frac{242}{3}$
4. $\frac{287}{3}$ $\frac{287}{3}$
Evaluate $\sum_{k = 1}^{\infty} 8 {(- 0.3)}^{k - 1} .$ $\sum_{k = 1}^{\infty} 8 {(- 0.3)}^{k - 1} .$
1. 6
2. $\frac{80}{13}$ $\frac{80}{13}$
3. $- \frac{80}{13}$ $- \frac{80}{13}$
4. $- \frac{83}{20}$ $- \frac{83}{20}$
Evaluate $(\begin{array}{l} 12 \\ 11 \end{array}) .$ $(\begin{array}{l} 12 \\ 11 \end{array}) .$
1. $1 . \bar{09}$ $1 . \bar{09}$
2. 12
3. 1
4. 11!
Expand ${(3 x - 1)}^{4} .$ ${(3 x - 1)}^{4} .$
1. $81 x^{4} - 108 x^{3} + 54 x^{2} - 12 x + 1$ $81 x^{4} - 108 x^{3} + 54 x^{2} - 12 x + 1$
2. $- 81 x^{4} - 108 x^{3} - 54 x^{2} + 12 x - 1$ $- 81 x^{4} - 108 x^{3} - 54 x^{2} + 12 x - 1$
3. $- 81 x^{4} + 108 x^{3} + 54 x^{2} + 12 x + 1$ $- 81 x^{4} + 108 x^{3} + 54 x^{2} + 12 x + 1$
4. $81 x^{4} - 108 x^{2} + 54 x - 12$ $81 x^{4} - 108 x^{2} + 54 x - 12$
Find the coefficient of x in the expansion of ${(2 x + 3)}^{3} .$ ${(2 x + 3)}^{3} .$
1. 108
2. 9
3. 36
4. 54
Karen has four necklaces, ten pairs of earrings, and three bracelets. How many ways can she choose a necklace, a pair of earrings, and a bracelet?
1. 40
2. 17
3. 120
4. 240

In Problems 14 and 15, evaluate each expression.

P(7, 3)
1. 210
2. 840
3. 1680
4. 5040
C(10, 7)
1. 3
2. 720
3. 620,400
4. 120
How many two-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9? No digit can be used more than once.
1. 45
2. 81
3. 3,628,880
4. 100
You have selected eight CDs for your dad, but have only enough money to buy five of them. In how many ways can you select the five if you decide that a particular CD is a “must buy”?
1. 56
2. 70
3. 1680
4. 35
What is the probability of rolling a 5 on one roll of a die?
1. $\frac{1}{5}$ $\frac{1}{5}$
2. 4
3. $\frac{1}{6}$ $\frac{1}{6}$
4. 0.05
What is the probability of getting a sum greater than 9 when a pair of dice is rolled?
1. $\frac{1}{6}$ $\frac{1}{6}$
2. $\frac{1}{4}$ $\frac{1}{4}$
3. $\frac{1}{12}$ $\frac{1}{12}$
4. $\frac{1}{18}$ $\frac{1}{18}$
What is the probability that a card drawn at random from a standard 52-card deck is not a spade?
1. $\frac{2}{5}$ $\frac{2}{5}$
2. $\frac{1}{4}$ $\frac{1}{4}$
3. $\frac{4}{13}$ $\frac{4}{13}$
4. $\frac{3}{4}$ $\frac{3}{4}$

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.

Table of Contents for Practice Test B