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Let {an} be a sequence. Which of the following statements is (equivalent to) the definition of the concept that "the sequence is not increasing"? Select all the correct answers. ☐ n, mЄ N, n

Let {an} be a sequence. Which of the following statements is (equivalent to) the definition of the concept that "the sequence is not increasing"? Select all the correct answers. ☐ n, mЄ N, n

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let {an} be a sequence. Which of the following statements is (equivalent to) the definition of the concept that "the sequence is not increasing"? Select all the correct answers. ☐ n, mЄ N, n<m and an ≥ am OnЄN, s. t. an an+1 ☐ Vn, mЄ N, n <m⇒ an ≥ am VnEN, an ≥ an+1 En N, s. t. an an+2
Transcribed Image Text:Let {an} be a sequence. Which of the following statements is (equivalent to) the definition of the concept that "the sequence is not increasing"? Select all the correct answers. ☐ n, mЄ N, n<m and an ≥ am OnЄN, s. t. an an+1 ☐ Vn, mЄ N, n <m⇒ an ≥ am VnEN, an ≥ an+1 En N, s. t. an an+2
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