MATH 2030 Midterm: MATH 2030 University of Manitoba 3400Feb11Mid

• School: University of Manitoba
• Department: Mathematics
• Course: MATH 2030
• Professor: All

Document Summary

Write your name and student number above read all questions carefully before answering them. How well you follow instructions, neatness, and presentation may all a ect your grade. If you continue your work outside the space alloted, clearly indicate where to. Nd an answer, or portion thereof, if it is out of order. Large or complicated numerical answers, such as 100! may be left as the most simple formula that is easy to reach by hand. Scienti c or graphing calculators and a one-sided crib sheet are permitted, but unnecessary, in this exam. To show that you read these instructions, and for two bonus marks, circle your student number above. [20] or nonsense are considered false. (a) (1 + 2) It is shaken to randomize it, and each student draws out one of the names for the pur- pose of gift giving. [6: let sn = 1 1! Use mathematical induction to prove that sn = (n + 1)!