(c) Define a sequence D = (dm), by the formula dn = EX=1 2 for all n E N. Answer. Recall that a sequence X (C) is called

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C Define A Sequence D Dm By The Formula Dn Ex 1 2 For All N E N Answer Recall That A Sequence X C Is Called 1 (43.81 KiB) Viewed 26 times

(c) Define a sequence D = (dm), by the formula dn = EX=1 2 for all n E N. Answer. Recall that a sequence X (C) is called strictly increasing iff Vn, an < Intl. Similarly define strictly decreasing 2. Give an example of a sequence with the given properties or state that it is IMPOSSIBLE. NO partial credit. (You may express your sequence by writing at least the first six items establishing an unambiguous "pattern".) (a) A strictly increasing sequence of positive numbers (b) A strictly increasing sequence of positive numbers that converges. that diverges. (d) A sequence that is both increasing and decreasing. (c) A strictly decreasing sequence of positive numbers that diverges. (1) A bounded sequence that diverges. (e) A sequence that has exactly one convergent sub- sequence.