be a POSITIVE sequence. Which of the following statements must be true? Select all the correct answers. Let {an} n=0 O IF the sequence is bounded above, THEN it is convergent. O IF the sequence is not bounded, THEN it is divergent. O IF the sequence is convergent, THEN it is bounded. O IF the sequence is bounded, THEN it is eventually monotonic. O IF the sequence is non-decreasing, THEN it is convergent. O IF the sequence is non-increasing, THEN it is convergent.
be a POSITIVE sequence. Which of the following statements must be true? Select all the correct answers. Let {an} n=0 O IF the sequence is bounded above, THEN it is convergent. O IF the sequence is not bounded, THEN it is divergent. O IF the sequence is convergent, THEN it is bounded. O IF the sequence is bounded, THEN it is eventually monotonic. O IF the sequence is non-decreasing, THEN it is convergent. O IF the sequence is non-increasing, THEN it is convergent.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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