12 HL Sequences and Convergence

Complete the following questions before our next class.

(From the Haese book)
Exercise B.1 questions 3 and 5
(Read Section J, then complete )
Exercise J.1 questions 1bdf, 2acdf, 3
Exercise J.2 questions 1, 2, 3

Pay particular attention to questions 1 and 2 in J.2, which makes use of two (often useful) algebraic methods for showing that a sequence is monotonically increasing/decreasing: a sequence is decreasing if either \(u_{n+1}-u_n <0\), or \(\frac{u_{n+1}}{u_n} <1\) for all \(n\), and with inequalities reversed either method establishes that the sequence is increasing.

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