[MATH 31A] - Midterm Exam Guide - Comprehensive Notes for the exam (11 pages long!)

/ Math123FallTEast - MX Jalan - X e A Secure | https://bbcsulb.desirežlearn.com/dz//le/content/4041/4/viewcontent/4441994/View * @ : # Apps Pearson Sign In B Free Office 365(use fie D offices Hurs Fall-201 Y Question involving ar % Assignment (o -- Mat Q Fevica Cuestiors: CE Q Program Design &D CSI-117 midterm Flus Pctween the Panels: Math 123 - Exam 3 (Sample 1) 1. Determine whether the sequence converges or diverges. If it converges, find the limit. _ 3n - n (b) {1, -34-, ...} (e) {V3, V3/3, 3/3/3, ...} (a) on -2n + n 2. Determine whether the series converges or diverges. If it converges, find the sum. ( #1 () È 3. (a) Find the sum of the first 100 terms for the sequence I , and then find the sum s. Ln2 + 4n +3 n=1' (b) Express 0,1234 = 0.123423234... as a ratio of integers. 4. (a) The function f(x) = -1.1 Inx satisfies the hypothesis of the integral test (i.e., it is continuous, positive, and decreasing on [2, x)). Apply the integral test to determine if E converges or diverges. Sni. (b) Apply an appropriate test to determine whether converges or diverges. 5. Determine whether the series converges or diverges by applving an appropriate test. O P - + + 1 1 : 0 Type here to search рон в резема оо : » Ramna g« E 11:10 PM = - 11/21/2012

Problem: Divisibility and Divisibility Rules There are many rules to determine if a number is divisible by other smaller numbers. In basic arithmetic courses, you learned divisibility and discussed a few common divisibility rules. Your task is to determine if the given number is divisible by 9 but is not divisible by 11 Given number: 7,176,825,942,116,027,211 Note: You want to use divisibility rules. Do not attempt to use long division and do not just use your calculator 1. Research the topic of divisibility 2. Research the divisibility rules for 9 and 11. 3. Using the divisibility rules found, determine how the given number is divisible by 9 and is not divisible by 11. "Note:I am telling you that the number IS divisible by 9 and IS NOT divisible by 11. Do not try to show the opposite of this statement. 4. Include the following information in a report, in this order: a. Explain (in a few sentences) the topic of divisibility, including any correct terms that apply b. Explain in your own words the divisibility rule of 9. C. Give an example using another number to help the explanation. d. Show how the given number is divisible by 9. Work out all your steps. e. Explain in your own words the divisibility rule of 11 f. Give an example using another number to help the explanation. g. Show how the given number is not divisible by 11. Work out all your steps. 5. You must locate a minimum of 2 sources to help you complete this project. More than two sources, though not required, can be used if it helps to give detail to the project. a. You must use at least one book or E-book (other than your textbook). Do not use the dictionary for your definition. b. You must use at least one website. Do not use Wikipedia c. Your sources should explain the topics of the problem (divisibility and divisibility rules) and have examples that help you with the problem. Your sources should be relevant to the project and not just be a math source because it has math in the context d. 6. Correctly cite, in MLA format, the sources that you located to complete the assignment. If you need help for citations in MLA format, you can try using the website EasyBih Be sure to do the entire project typed neatly 7. Papers will be compared for similarity Plagiarism is against the academic honesty policy and will receive a zera. Note: A detailed Grading Rubric is provided on Canvas and on the assignment submission link The due date for the project is listed on Canvas. The Math/Analytical Project must be submitted through Canvas. Directions for submitting can be found in the Course Syllabus and on Canvas.