Use the difference an+1 - an to show that the given sequence {a,} is strictly increasing or strictly decreasing. { 71 4n-3Jn=1 Antl - an = 3 strictly decreasing (4n + 3)(4n – 1)' 3 strictly increasing (4n + 3)(4n – 1)' strictly increasing (4n 3)(4n + 1) 3 strictly decreasing (4n 3)(4n + 1) strictly decreasing (4n 3)(4n+3)

Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

A:

Q: limit of this sequence

A: We have to find out the limit of the given sequence.

Q: 11. (6 points) A sequence is given by the recursive definition bn = 4bn-1, bo = 3. a) Find b₁,b₂,…

A: The objective of the question is to find the values of b_1, b_2, b_3 and a general formula for b_n,…

Q: (a) (². ¹) If the sequence (an) is defined by the recursive formula an+1 = -2-a, a₁ = 1, then (an)=1…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A sequence {a„}1 satisfies a1 = 1, a2 = 1 and 6 an = max {an-1, an-2} – min {an-1, an-2} for n > 3.…

A:

Q: II(2) b, = II(2i + 1). an = e i=1 i=1

A:

Q: The sequence {bn}∞n=1 is defined as b1 = 5 , b2= 13, bn = 5 bn −1 − 6 bn −2 for n ≥ 3. Prove bn…

A: 8 Given that the sequence bnn=1∞ is defined as b1=5, b2=13 and bn=5bn−1−6bn−2. We have to prove that…

Q: 4.1 Provide a rule (in words) to descr be e on the sequence, use this rule to provide the axt two…

A: We are authorized to solve only one question please repost remaining questions Series

Q: Which of the following is the generating function for the sequence 5, 5, 5, 5 O A. G(x)=(1-x) 1 O B.…

A: Generating Function: Generating Function is a way to represent an infinite sequence. Consider a…

Q: Q5 (a) Find the area of the region enclosed by the lines and curves, y=x' -2,and y =2

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Where is the function f(x, y) = In Lütfen birini seçin: a. {(x, y) = R² | y-1} c. {(x, y) = R² y +…

A: Given that, fx,y=lnπ4+arctany+x ∴ log is defined when, ⇒π4+arctany+x>0               1

Q: 7. Every sequence of real numbers has a decreasing subsequence. nondecreasing subse- quence or a

A:

Q: 4. Consider the sequence 8 1 {2(k+3 (2(k+3)) k=1 rewrite the sequence from j-5

A:

Q: The number sequence a1, a2, a3, .... is defined by a1 = 8 a2 = 24 and recursion formula 4an + 1…

A: We need to show that an=5n-12n-2 for a1=8 and a2=24  The given recursion formula is…

Q: Find the explicit formula for the geometric sequence b, with the following information given. bị = 7…

A: Given : b1=7b4=-5627

Q: 3. (CLO2) Do one of 3(a) and 3(b) (a) Use mathematical induction to show that 1+2+2²+ integers n.…

A: We will solve both these questions one by one .

Q: Liminf of the sequence is an = √2n(√2n +4 | 3 + 1/1/0 n √2n) n is a prime number n is not a prime…

A:

Q: Use the difference anti-an, to show that the given sequence {a} is strictly increasing or strictly…

A:

Q: gence of a sequence, prove that the following statements are true. (a) lim 2n+1 5n+4 nx (b) lim 2²…

A:

Q: 3. Determine whether the sequence is monotonic. Prove you are correct. (a) {n²} {} e {1+} (d) {} 1…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: an = (-1)", bn Cn = n² dn= n (a) For each sequence, give an example of a monotone subsequence. 6n +…

A:

Q: 2n + 3 Which of the following is true about the sequence (a,) where a, = 5n + 4 (a) lim a, = +oo (b)…

A: Given that; an=2n+35n+4

Q: vīz, vi2+ V12 , V12+ V12+ V12 ,. .... Consider this sequence: i.e., a, = V12, a,1 = V12+a, ,n>1 Use…

A: Given a1=12 and an+1=12+an, n>1 First of all, we will write the first 10 terms in the given…

Q: Consider the arithmetic sequence S, where the i-th term of S is defined as follows for positive…

A: Solution; The arithmetic sequence is defined by Si=2+6i-1 We want to prove by induction that the sum…

Q: a. the sequence is given by an=1/(n^7/6)      lim n→∞ an=  b.  the sequence is given by…

A: We need to solve separately a. the sequence is given by an=1/(n^7/6)      lim n→∞ an=  b.  the…