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Unformatted text preview: Home > My Assignments > Section 8.1 (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Thursday, November 3, 2005 11:00 PM EST Description Sequences Current Score: 10 out of 10 Question Score pts subs 1 3/3 1/20 3/3 Viewing: Last Response View: All Responses Notes pts subs 1 1/1 1/20 1/1 Viewing: Last Response View: All Responses Notes pts subs 1 1/1 1/20 1/1 Viewing: Last Response View: All Responses Notes 1. [SCalcCC2 8.1.06.] Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. {-1/4, 2/9, -3/16, 4/25, ...} an = (n)(-1)^n/((n+1)^2) [(-1)^n * (n/(n+1)^2)] 2. [SCalcCC2 8.1.10.] Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges, enter NONE. 1/3 [0.333] 3. [SCalcCC2 8.1.12.] Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges, enter NONE. 1 [1] pts subs 1 1/1 1/20 1/1 Viewing: Last Response View: All Responses Notes pts subs 1 1/1 1/20 1/1 Viewing: Last Response View: All Responses Notes pts subs 1 1/1 1/20 1/1 Viewing: Last Response View: All Responses Notes pts subs 1 1/1 1/20 1/1 Viewing: Last Response View: All Responses Notes pts subs 1 0.5/0.5 1/20 2 0.5/0.5 1/20 1/1 4. [SCalcCC2 8.1.14.] Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges, enter NONE. NONE [NONE] 5. [SCalcCC2 8.1.16.] Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges, enter NONE. {arctan 2n} 1.57 [1.57] 6. [SCalcCC2 8.1.24.] Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges, enter NONE. an = ln(n + 1) - ln n 0 [0] 7. [SCalcCC2 8.1.26.] Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges, enter NONE. 0 [0] 8. [SCalcCC2 8.1.40.] You are given the following sequence. Viewing: Last Response Determine whether the sequence is increasing, decreasing, or not monotonic. (o) (o) increasing View: (_) (_) decreasing All Responses (_) (_) not monotonic Notes Is the sequence bounded? (o) (o) yes (_) (_) no Home My Assignments ...
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