Question

would be nice if you could specify answers

Question 12 A sequence {an}-1 satisfies a1 = 1, Q2 = 1 and 5 max {an-1,An-2} - min {an-1,An-2} 4. for n > 3. Select all what applies to the sequence {an}n-1 from the following list. (Remember: if a > b then max {a,b} = a and min {a,b} = b) (A) Alternating (B) Bounded above. (C) Divergent (D) Bounded below. (E) Monotonic. (F) 21005 (G) Diverge to o (H) 14 = 1 (I) Diverge to - (J) Convergent.

Answer 1

r. A,B,C,D,F, H Since, a i=1, 9231 Az = 5 Max fa, ,9,7 in {9,92} Y4 4 = 1 5 4 ay 노 a 5 - - 5 5-6 1 Hence a 6 Уч and so on.. Clearly, agn -2 = 1 aan-3 = 1 n = 1, 2, azn = Y4 ✓LA) .. The is an alter alternating sequence, (B) clearly bounded above, Max & an} = (el Yes, it in divergent (D) yes it is bounded below, in sang=yu (E) Nope, it is not monotonic NEN NEN (F) a 2005 a 3 x 669 -2 (G) Nope, it is noto divergent toos, v (H I au (I) Nope, ito in not diverges to as JJ No, it is not convergent /