show that the sequence is eventually decreasing or increasing. and determine the smallest value of n...
Determine if the next sequence is monotonous. If so, indicate if it is increasing, decreasing, not increasing or not decreasing. Www In(n+3) n + 3
H-4-2. [5 marks] (a) Consider the sequence (2n 1)I and determine whether it is (eventually) (strictly) increasing or (eventually) (strictly) decreasing or not monotonic. YOU DON'T HAVE TO COMPUTE ANY LIMITS (b) Consider the sequence [10n -3"} and determine whether it is (eventually) (strictly) increasing or (eventually) (strictly) decreasing or not monotonic. YOU DONT HAVE TO COMPUTE ANY LIMITS Grading. M2 S1 R1 Cl
4. Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded? 3n - 7 a) b) an 7n+ 5 2 пл an = COS
show all work | 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
29. Determine whether the sequence is monotone or not: otone or not: (6720) A. Monotone Increasing B. Monotone Decreasing C. Not Monotone Page 5 of 6 -1 n+14 30. Determine whether the sequence is monotone or not: in +19 A. Monotone Increasing B. Monotone Decreasing C. Not Monotone
please prove Let - andd On -n+1 Show that a is an increasing sequence, that bn is a decreas- Let - andd On -n+1 Show that a is an increasing sequence, that bn is a decreas-
Please help with #6 'rove: Given a sequence of n2 +1 distinct integers, either there is an increasing subsequence of n+1 terms or a decreasing subsequence of n +1 terms. 'rove: Given a sequence of n2 +1 distinct integers, either there is an increasing subsequence of n+1 terms or a decreasing subsequence of n +1 terms.
An array A[1,2,... ,n is unimodal if its consists of an increasing sequence followed by sequence a decreasing sequence. More precisely, there exists an index k є {1,2,… ,n} such that there exists an indes . AlE]< Ali1 for all 1 i< k, and Ai]Ali 1 for all k< i< n A1,2,..,n] in O(logn) time the loop invariant (s) that your algorithm maintains and show why they lead to the correctness Give an algorithm to compute the maximum element of...
Exercise 5: Let an be an increasing sequence, let bn be a decreasing seqeuence, and suppose that an bn. Show that both ;limn an and limn bn exist and limn an limn bn.
an diverges. positive and decreasing sequence such that +ain- 39. Assume that (an) is a Show that 1. lim + a2n n-oo an diverges. positive and decreasing sequence such that +ain- 39. Assume that (an) is a Show that 1. lim + a2n n-oo