1. MAC 1140 Test 4 Review and Practice Solutions

2. MAC 1140 Test 4 Review 12.1 – 12.5 You will need to have your own graphing calculator for the test. You may not share calculators or use any type of communication device in place of a calculator. Tests cannot be made up for any reason other than an NWFSC event for which you must miss class. If you miss one test, your final exam score will be substituted. A second missed test is a zero.

3. Exam Topics ObjectiveSectionSuggested Text Problems 1) Write out the first five terms of a sequence.12.1p. 838: 1, 3 2) Find the sum of a sequence.12.1p. 838: 13, 15 3) Find the indicated term of an arithmetic sequence.12.2p. 838: 17 4) Find a general formula for a given arithmetic sequence.12.2p. 838: 21 5) Work with applications of arithmetic sequences.12.2p. 839: 34 (a)8,(b)1100 6) Find the indicated term of a geometric series.12.3p. 838: 19 7) Determine whether a geometric series converges or diverges (and determine the sum if it converges). 12.3p. 838: 23, 25 8) Prove statements using mathematical induction.12.4p. 839: 27 9) Use the Binomial theorem to expand a binomial12.5p. 839: 31, 33 10) Use the Binomial theorem to find a particular coefficient in a binomial expansion. 12.5p. 836: 29, 31

4. To Study for the Test Complete all assigned homework. Remember that a score of at least 70% on each assignment gives you 10 bonus points on the test. Complete the practice test and check your solutions. Set up a study system (note cards for example) for each of the 10 objectives in the chart above. Review your notes and applicable problem set questions for each of the 10 objectives in the chart above. Work the suggested text problems for each of the 12 objectives in the chart above.

5. Things to Know

16. 4) Find the first term, common difference, and a simplified formula for the nth term of the arithmetic sequence where the 7 th term is 4 and the 22 nd term is 34.

18. 5) When Eric started work as an orange picker, he picked 10 oranges in the first minute, 12 in the second minute, 14 in the third minute, and so on. How many oranges did Eric pick in the first 30 minutes?

26. 9) Expand each binomial using the binomial theorem. You may use your calculator to compute the combinations.

28. 10) Use the binomial theorem to answer each question. You may use your calculator to compute the combinations.

30. Test 4 Extra Practice

35. 3)A brick driveway has 50 rows of bricks. The first row has 16 bricks and the fiftieth row has 65 bricks. Assuming that the number of bricks in each row forms an arithmetic sequence, what is total number of bricks?

39. 5) Use the binomial theorem to answer the question. You may use your calculator to compute the combinations.