MATH 141 Quiz 5.docx - Please sign(or type your name below...

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Please sign (or type) your name below the following honor pledge: I have completed this quiz by myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name _____ Date____4/21/2018___ QUIZ # 5 1. (5 points) Calculate the first 6 terms (starting with n = 1 ) of the sequence { n 2 n 1 } Solution: 1,2/3,3/5,4/7,5/9,6/11 Work: 2. (5 points) State whether the sequence converges or diverges? If the sequence converges, find it’s limit. 1 2 2 4 2 3 2 2 2 n n n n Solution: sn = ((n^2+6n-2)/(2n^2+2n+1)), the given sequence converges Lim as n approaches infinity sn=1/2 Work:
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3. (10 points) State whether the sequence converges or diverges? If the sequence converges, find it’s limit. { 1 + 2 n } n Solution: The sequence converges, e lim as n approaches infinity (2/n) * n = e^2 Work: 4. (10 points) Show that the sequence is decreasing: a n = n n 2 + 1 Solution: If the derivative is less than zero the function is decreasing Work:
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