Please do like.
4. Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded? 3n...
(10 points) Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1 as your answer. If decreasing, enter -1 as your answer. If not monotonic, enter 0 as your answer n + 3. an +2 2n +8 Note: In order to get credit for this problem all answers must be correct You have attempted this problem 0 times. You have unlimited attempts remaining. 12 F1O F9 F8 F6 F5 (10 points) Determine whether the sequences are...
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
1. Determine an infinite sequence that satisfies the following ... (a) An infinite sequence that is bounded below, decreasing, and convergent (b) An infinite sequence that is bounded above and divergent (c) An infinite sequence that is monotonic and converges to 1 as n → (d) An infinite sequence that is neither increasing nor decreasing and converges to 0 as n + 2. Given the recurrence relation an = 0n-1 +n for n > 2 where a = 1, find...
An increasing (or decreasing) sequence that is bounded is convergent. Select one: True False
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
15. Determine whether the sequence diverges or converges. If the sequence converges, find its limit. 3n+1 (a) an = 3nt3 (b) an = 2:+20 100000n3+n+1 n5+2n+1 (d) an = cos (77) (e) an = Inn
6. Given an n21 2n+3) a) Is the sequence monotonic? b) Is the sequence bounded? c) Does the sequence converge or diverger
(a) Use Bounded Monotonic Sequence Theorem to show that the sequence with the given nth term converges, (b) Graph the first 10 terms of the sequence and estimate its limit. an
4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence of even-indexed terms is monotonic decreasing (ii) Find the limit of {%) (Hint: Consider x,-h-i) 4. Consider the sequence {z,.) such that z1-0, z2-1 and æn-telths,Yn (i) Show that (n) is convergent by showing that the subsequence of odd-indexed terms is monotonic increasing and subsequence of even-indexed terms is monotonic...
Q. 6 Determine whether the following sequences converge or diverge, and state whether they are monotonic or whether they oscillate. Give the limit when the sequence converges. {0.2"} a) {(-2.5)"} b) Q. 7 Find the limit of the following sequences or state that they diverge. sinn 27 2 tan in] n3 +4 b)