7. Which of the following sequences is bounded but not monotonic? а. n=1 n b. n + n=1 2" с. п n=2 {cos (nz)},-1 d. е. n=1

Q: 18. Which of these sequences is/are not bounded? I. a, = (-1)", n> 1 А. II only В. I only С. П only.…

A: Option (C) is correct. II only.

Q: 5" +6" + 7" a, = what is the limit of the sequences? 7" O a. infinity O b.1 Oco Od. 5/7 O e 18/7

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Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: For what values of r does the sequence {r"} converge? Diverge? .... Select the correct choice below…

A:

Q: O a. { O b. {7 – 5}0 O. {e-"}1 O d. {cos(n)}1 2" Sn=1' Ob. nin=1' Oc. Sn=1 O e. Ninguna de las…

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Q: Which one of the following sequences does converge to 0? (-4)" an a. n! Зп +1 -)" Зп - 1 O b. an =…

A: To find which of the following sequence converge to 0. By using ratio test first and fourth option…

Q: List the first six (6) terms of each of the following sequences.  an=2(3n)+3, where n=1,2,3,……

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Q: 1. аn 1 п> 1. (No п2+13 2. bn 3D сos(n + 13), п > 1. 13-п3 3. Сп n > п> 1. (N n4+2021

A: A function f(n) is said to be monotonic increasing if f'(n)≥0 ∀n≥k  and monotonic decreasing  if…

Q: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1, 156.7], if…

A: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1,156.7], if we…

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: List the first six (6) terms of each of the following sequences. You do not need to show your work,…

A: Note: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the…

Q: 4. Consider the 2nd to 5th entries of the following two sequences and answer the questions be- low:…

A: D-Alembert's test: Let un is a sequence .…

Q: 29. What is the 10th term of the harmonic 4 4 4 4 sequence 13’11’9’7'' ? ... [A] -5/4 [В] -4/5 [C]…

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Q: What is the limit of the following sequence? {(-1)"n'e ™ },1? 00 n=D1 О а. 1 O b. oo Oc. 0 O d. -3 4…

A:

Q: 2+(-1)" n 3. Find the LUB of the sequence: n n=1 1 b. 2 3/2 d. 3 e. 0 а. с.

A:

Q: Problem 1. Let (.} and (M} be sequences such that: a) . S for all n; b) {z,} is increasing; e) {v.}…

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Q: 2- Show that the Sequence An define by and dn=Vant 2 for 'nI %3D is a monotonic increasing. a

A:

Q: 1. Find the general n th term of the following sequences. 14 9 16 a) 10'17 b) -, 125, -625 ...} 24

A: Given

Q: = n(1 cos- n -

A:

Q: To what limit does the sequence S, 3+n converge as n approaches infinity? 3" %3D (A) 1 (B) 1 T. (C)…

A:

Q: A sequence a, is defined inductively as a1 of an if an < an +1 Vn 2 1. A.글 (1± v13) B. (1– V13) C.…

A:

Q: Consider the sequence {an}, where 1 + 32 1 1 An = 1+ 22 ... n2' A. Show that {an}n=1 is a monotone.…

A:

Q: I. Graph and evaluate the following sequences: Divergent or convergent, bounded or unbounded,…

A: We’ll answer the first question since the exact one wasn’tspecified. Please submit a new question…

Q: 5. Find the limit of the sequence 3. an ), n = 1,2, 3, --. 3JT

A: Explained below

Q: Let a, := 7+ Vn , n 2 1, be a sequence of real numbers. Find an n(K) EN Ə a, > K whenever n> n(K).…

A: Consider the given information:

Q: 43. Which of these sequences is/are not bounded? I: a, 1= (-1)", n 21 A. III only B. I only C. II…

A:

Q: Evaluate E, (3"5!¬"). Write fractions as an improper fraction a/b. If it In=D1 does not converge,…

A:

Q: I. Graph and evaluate the following sequences: Divergent or convergent, bounded or unbounded,…

A: From below figure, it is observed that the sequence an is bounded by 1 and –1. Also it is having…

Q: W: Which of the sequences {a,} ca 1. a, = 2+(0.1)"

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Vhich one of the following sequences does converge to 0? Зп +1 a. an = Зп — 1 O b. An=tan n n! O c.…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.