– Exponents, Logarithms, Sequences, and Series
\n1. Write the equation below in its equivalent logarithmic form:<\/p>\n
A.
\nB.
\nC.
\nD.<\/p>\n
2. Compute the value of
\nA. 0.0088
\nB. 109.95
\nC. 290.54
\nD. 181.59<\/p>\n
3. Let an be a sequence defined by the recursion formulas a first three terms of the sequence a
\nA. 4, 16, 20922789887968
\nB. 4, 8, 4784
\nC. 4, 8, 40064
\nD. 4, 16, 64<\/p>\n
4. Find the accumulated value of an investment of $7,000 at 7% compounded continuously for 6 years.<\/p>\n
Solve this question using the correct formula for compound interest.<\/p>\n
A. $10,653.73
\nB. $10,753.73
\nC. $10,505.11
\nD. $9,940.00<\/p>\n
5. Use properties of logarithms to expand the logarithmic expression below as much as possible.<\/p>\n
A. ln e
\n5
\n7. Which of the following statements is not correct?
\nA. Mathematical induction proves facts about all positive real numbers.
\nB. Mathematical induction involves first proving a statement S1 and then proving a second statement, that S
\nC. Mathematical induction is a method of proof.
\nD. A necessary skill to master before attempting a proof by mathematical induction is the ability to write three forms of a statement, S
\n8. Write the first five terms of the arithmetic sequence below.
\nA. 19, 15, 11, 7, 3
\nB. 11, 7, 3, – 1, – 5
\nC. 15, 11, 7, 3, – 1
\nD. 15, 11, 6, 3, – 1<\/p>\n
9. Write the first four terms of the sequence whose general term is given by the following formula:<\/p>\n
A.- 3, – 7, – 11, – 15
\nB. 5, 9, 13, 17
\nC. 3, 4, 5, 6
\nD. 3, 7, 11, 15<\/p>\n
10. Which of these is not a valid fact about logarithms?
\n11. What type of transformation would occur with the following exponential functions?<\/p>\n
A. Reflection about the x-axis
\nB. Vertical shrinking
\nC. Reflection about the y-axis
\nD. Vertical stretching<\/p>\n
12. Make a table of coordinates for the function below and then graph it.<\/p>\n
13. Find the first five terms of the arithmetic sequence in which a
\nA. 6, 5, 4, 3, 2
\nB. 6, 5, 3, 3, 2
\nC. 5, 4, 3, 2, 1
\nD. 7, 6, 5, 4, 3<\/p>\n
14. Use properties of logarithms to condense the logarithmic expression below to one term whose coefficient is 1.<\/p>\n
15. Solve the logarithmic equation below. Be sure to reject any value that isn’t in the domain of the original
\nlogarithmic expressions. Give the exact answer.<\/p>\n
16. Find the sum of the first 60 terms of the arithmetic sequence 14, 19, 24, 29, . . . .
\nA. 9,700
\nB. 9,840
\nC. 9,690
\nD. 314<\/p>\n
17. Solve the exponential equation below. Express the solution set in terms of natural logarithms.<\/p>\n
18. Find the common ratio of the geometric sequence given below.<\/p>\n
19. Your textbook suggests that the percent risk R of an auto accident can be modeled by the formula 6e12.77x, where x stands for blood alcohol concentration. At what blood alcohol concentration is a driver 50% likely to have an accident?
\nA. 0.166
\nB. 0.072
\nC. 3557
\nD. 0.427<\/p>\n
20. Evaluate the expression below without using a calculator.<\/p>\n","protected":false},"excerpt":{"rendered":"
– Exponents, Logarithms, Sequences, and Series 1. Write the equation below in its equivalent logarithmic form: A. B. C. D. 2. Compute the value of A. 0.0088 B. 109.95 C. 290.54 D. 181.59 3. Let an be a sequence defined Read More …<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-19105","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/19105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=19105"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/19105\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=19105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=19105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=19105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}