The sequence 1, 5/8, 14/27, 15/32,... is defined by: s1 = 1 s2 = 1 2 1 2 2 + 2 2 2 = 5 8
Chapter 0, Problem 84(choose chapter or problem)
The sequence 1, 5/8, 14/27, 15/32,... is defined by: s1 = 1 s2 = 1 2 1 2 2 + 2 2 2 = 5 8 s3 = 1 3 1 3 2 + 2 3 2 + 3 3 2 = 14 27 . (a) Extend the pattern and find s5. (b) Write an expression for sn using sigma notation. (c) Use Riemann sums to evaluate lim n sn. 85
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