The limit of the sequence Zn = Arg(-i + ) is equal to Select one: C. 2 -3T d. 2

Q: A sequence is said to be decreasing sequence if Vn > 1 'n+1°n =S .a .b O n+1 2n.cO n+1 n+1d0 n

A: Option (d) is correct.

Q: Find the limit of the following sequence. 3n! an %3D (n+4)!

A:

Q: ter n minutes, the temperature of a cup of coffee, in degrees Celsius, is T 55 + 25e0.1n %3D e0.1n

A:

Q: For the sequence (5) find the value of m E N , given that Ɛ = 2n %3| e 10

A: Given sequence an=12n, ε=1e10 Let n>m an-am=12n-12m=12m-12n  n>m⇒ 2n>2m⇒12m>12n…

Q: - The limit of the sequence (V16n²-5) is V8+n3 n=1 а. О b. -5/8 C. 4 d. 2

A: First, we try to get the lead terms out of the radicals. For that reason, we factor it out. So that…

Q: A sequence s, is said to be bounded above if there is some number N such that ..... .a Sn =N .b S,SN…

A: Option (b) true because

Q: Find the limit of the sequence. 4n2 a 2 n* + 3

A:

Q: List the first four terms of the SEQUENCE {3n+1}n=1* Find the limit of the sequence or determine…

A: The given sequence is 2n/(3n+1)

Q: The limit of the sequence z = Arg(-i+) is equal to

A:

Q: Find the limit of the sequence or state that it diverges. sin °n 3n O A. - 1 О В. О О С. 1 D.…

A:

Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: given parameters a,b > o and the given sequence x₁= b X = n+1 4 (x₂ + 4a) n Xn a. Show that a b.…

A:

Q: Match the sequence with it's limit as n- 00 2n+1 A. 00 3n2+2 В. О n! C. 2 D. 2 (n-1)! v 2n+2 3n+1 (-…

A:

Q: For the sequence („7) find the value of m E N , given that & = 1 e 10

A: For the given sequence is 12n, we have to find the value of m∈ℕ, given that ε=1e10.By definition of…

Q: A Sequence is defined by the recusire rule Cn= Cn-1 , with Ci = 5 %3D which of the falawng %3D…

A:

Q: Find, if it exists, the limit of the sequence {a,}, where a,= nn.

A: The given sequence is an=n1n

Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: Write the first four terms of the sequences defined by the formulas dm=1+(1/2)m for every integer m…

A: Just plug in m as 0, 1, 2, 3, 4.

Q: Evaluate the limit of the sequence or state that it does not exist. an = (-1)n (3n3 + 4n)/(6n3 + 5)

A: Given sequence: an=(-1)n(3n3+4n)(6n3+5) To find the limit of this given sequence:…

Q: Find the limit of the sequence. 7n2 an n2 + 9 %3D

A: limn→∞ 7 n2n2 + 9 = ∞ so, we want limn→∞ 7n2n2 + 9

Q: Consider the sequence defined by a, = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞.…

A:

Q: 2 {a,} =- Vn? +7n - Vn² +2n.

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

Q: Find the limit of the sequence ´ 4n³ – 8n² – 7 1 18 – n + n4 - n=1

A: We need to find the limit of the following sequence. So,           limn→∞ 4n3-8n2-718-n+n4=limn→∞…

Q: Find, if it exists, the limit of the sequence (a,), where a,= n". O A1 O B. 2 OC3 O D.0 O E. The…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {√(4n4 + 3n)/(8n2…

A: The given sequence is (4n4 +3n)(8n2 +1) The limit of this sequence is given as: limn→∞(4n4 +3n)(8n2…

Q: Find the sum Gn of the geometric that satisfies the given condition n = 8, a = 6, a2 = 12  n = 10,…

A:

Q: A sequence Sn is siad to be bounded below if there is some number N such that .... .a .b Sn+ n +1 .C…

A: Consider the given information. Now, define bounded. A sequence an is said to be bounded if and only…

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: Find the z trans form of the casual sequence i Xx3 where XK = C-1). %3D

A:

Q: A sequence is said to be decreasing sequence if Vn 2 1 =DS n+1 aO .b O n+1 n+12s.cO 2n.d O n+1

A: Option (b) is correct.

Q: Assume the terms of a sequence (a,}-1 are given by the following formula: 2 3 an 5n2 5n2 5n2 + 5n2…

A: Calculate the sum of the series than solve for n approach to infinity.

Q: Find the limit of the sequence: In? + 1n + 3 an 9n2 + 8n + 1

A: Question is solved.

Q: The limit of the sequence z, = Arg(-i+) is equal to Select one: -T O a. O b. O c. -3T O d. 2

A: The correct option is option (a) - π/2    The detailed solution is as follows below:

Q: Find the limit (if possible) of the sequence with the given nth term. (If an answer does not exist,…

A: To find the limit of the sequence we take n→∞.limn→∞an

Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-

Q: The limit of the sequence Zn = Arg(-i+) is equal to Select one: -TO O a. O b. 21 -3T O d.

A:

Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

A:

Q: For each of (a)-(d) give a sequence (rn) with the stated prop- erties. In each case, the sequence…

A: Example and illustrations.

Q: Find the limit of the sequence a, (cos n) 2" =

A:

Q: What would be the 31st term of the sequence x?,x, 1.. .... ..... .... A. x28 1 В. x26 1 C. x28 1 D.…

A: The solution are next step..

Q: The limit of the sequence Zn = Arg(-i+) is equal to Select one: -T O a. O b. -3m O d.

A: The answer is, option (a) - π/2  The detailed solution is as follows below:

Q: For the sequence defined by: a1 = 2 An+1 = +1 - An Find: %3D %3D a4 = %3D 2]

A:

Q: Suppose that the sequence (b converges to 2. Which of the following sequences converges to 4…

A:

Q: Find the limit of the following convergent sequence. a1 =2, an+1= /8+2an O A. 8 В. 4 С. 2 O D. 6

A: Solution

Q: The limit of the sequence an= (1+)* -- is: 3n (a) – e (b) el7) (c) e-3 (e) None a b C d e

A:

Q: Q\ Find the limit points of all subsequences of the sequence ((-1)2" – (-1)³"),neN" nɛN

A:

Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

A:

Q: The limit of the sequence z, = Arg(-i+) is equal to 5. Select one: O a. -T 2 O b. -37 2 Oc. T 2 d.…

A: The limit of the sequence is, option (a) - π/2    The detailed solution is as follows below:

Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly…

A: The given sequence is; {an} = n/(3n-2).

Q: ) For the sequence (÷) find the value of m E N, given that Ɛ = 2n 1 e10

A: Here, note that  limn→∞12n=0 And, the given ε=1e10, to find m such that 12n-0<ε whenever n>m

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.