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2.   Consider the following formula: /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q15_stem.png Use this formula to find the intensity R on the Richter scale, given that amplitude (a) is 368 micrometers, time (T) between waves is 3.1 seconds, and B is 3.1. Round the answer to one decimal place. 

    

A. 7.9

B. 8.3

C. 2.1

D. 5.2

4.   Write the first four terms of the sequence: an = (–1)n + 1(n + 5) 

    

A. 6, –7, 8, –9

B. –7, 8, –9, 10

C. 6, –14, 24, –36

D. –6, 7, –8, 9

5.   Which of the following statements is not correct? 

    

A. Mathematical induction involves first proving a statement s1 and then proving a second statement that sk implies sk + 1.

B. Mathematical induction is a method of proof.

C. A necessary skill to master before attempting a proof by mathematical inductions is the ability to write three forms of a statement, s1, sk, and sk + 1.

D. Mathematical induction proves facts about all positive real numbers.

6.   Find the domain of the logarithmic function: f(x) = log9(x + 2) 

    

A. (9, ∞)

B. (∞, 0) or (0, ∞)

C. (–2, ∞)

D. (2, ∞)

7.   Write the formula for the general term (the nth term) of the geometric sequence. 4, 12, 36, 108, 324, . . . 

    

A.  an = a1 + (3)n

B.  an = 4(3)n – 1

C.  an = 4(3n)

D.  an = 4(3)n

9.   Change the given equation from exponential form to logarithmic form: a4 = 256 

    

A. 4 = log256a

B. 256 = loga4

C. 4 = loga256

D.  a = log4256

12.   A business person invests $20,000 at an annual rate of 6% for 7 years. If the money is compounded quarterly, what will be the balance at year 7?

Solve this question using the correct formula for compound interest: /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q3_stem.png 

    

A. $30,344.40

B. $31,012.74

C. $30,439.20

D. $31,272.15

13.   Find the first five terms of the arithmetic sequence with a1 = 10 and d = 3. 

    

A. 0, 10, 13, 16, 19

B. 10, 12, 14, 16, 18

C. 13, 16, 19, 22, 25

D. 10, 13, 16, 19, 22

15.   Find the domain of the logarithmic function: /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q56_stem.png 

    

A. (0, ∞)

B. (–2, ∞)

C. (1, ∞)

D. (2, ∞)

6.   Find the common ratio of the geometric sequence: 2, 8, 32, 128, 512 

    

A. 1⁄4

B. 4

C. It's not a geometric sequence.

D. 8

17.   Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. 3 + 12 + 27 + . . . + 75 

    

A.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q33_5-sigma-i-eq-0-3-isq.png

B.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q33_5-sigma-i-eq-1-3sqi.png

C.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q33_5-sigma-i-eq-1-isq.png

D.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q33_5-sigma-i-eq-1-3-isq.png

18.   Use the properties of logarithms to condense the following logarithmic expression:

Log cycx. 

    

A.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q18_log-c-x-over-y.png

B.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q18_log-c-xy.png

C.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q18_log-c-x-times-log-c-y.png

D.  /var/folders/9s/5k_n9ntx3sg2tkk2k98jfw200000gn/T/com.microsoft.Word/WebArchiveCopyPasteTempFiles/350662RR_Q18_log-c-x-plus-y.png