A sequence is said to be decreasing sequence if ..... Vn>1 .a n+1 .b s 2s n-n+1 .C n+12s. .d =S n+1

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: Suppose that a sequence is defined as follows. a = 3, a, = -4a,-1+6 for nz 2 List the first four…

A: If given nth term of the sequence and also given first term of the sequence  then we can find…

Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =

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Q: A sequence is said to be decreasing sequence if...... Vn>1 =S b O n+ 1 n n+1C O S 2n.d O n+1

A: Correct option :-  C Detailed Explanation

Q: Which of the following is a degree sequence, if there exists a graph Options O 2, 2, 2. 2, 2 5, 5,…

A: The degree sequence of a graph is the sequence of degree of vertices, in ascending order, with…

Q: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

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Q: A sequence is said to be decreasing sequence if Vn >1 2n.a O n+1 'n²³n+1·bO n+ n+1dO n+ 1

A: Given a statement

Q: Which of the following is/are an increasing sequence? 1, n 2 1 II: an :=, n21 := n3 I: an := 1 -

A: Thanks for the question :)And your upvote will be really appreciable ;) Answer :- C III only

Q: 19 Find the explicit formula for the given sequence. 2, 8, 32, 128, .. A an = 2+4 (n – 1) B an = 4+2…

A: Given sequence 2,8,32,128...... We notice that  a1=2=21 a2=8=23 a3=32=25 .......

Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: n 2. Determine whether the sequence a, is a monotonic bounded sequence. n2 + 1

A: Given that: an=nn2+1

Q: 7 Find the explicit formula for the given sequence. 2, 8, 32, 128, . (A 33 · 4"-1 a = = 2 · 4"-1 a ©…

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Q: n {(4)'} V3 The sequence {( converges. O True O False

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Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: For each sequence below, find the first five terms of the sequence, and then find the the limit of…

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Q: Use a-a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. b)…

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Q: The sequence an is eventually decreasing n! Select one: O True O False

A: We need to check whether the given sequence is eventually decreasing or not

Q: Give an example of a sequence that converges to 4n-8 а. an %3D Зп - 5 3+ 8n b. %3D an 4+5n 4n-8 C.…

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Q: (c) Show that the sequence is eventually strictly increasing. 13 n=1

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Q: Choose the correct statement(s) for given sequence 2n an n2 +1

A: a sequence is converges if  limn→∞     n = finite

Q: Q1: The first three terms of the sequence {(-1)*+2 are : 2n-1 이 (x-, ) 비 (-, 끝, -금) 이(x-, 금) c) (x,…

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Q: - Find x such that x, x+2, and x + 3 are consecutive terms of a geometric sequence. - Initially, a…

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Q: Does the sequences eventually increasing or decreasing ? п! (2n² – 7n) , (n³ – 4n²),(- ,(n +) , :…

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Q: Use the difference an+1 - an to show that the sequence {n - 6"}n=1 +oo is strictly increasing or…

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Q: Which of the followings are true? * is a decreasing sequence. n²-1 I. is not a bounded sequence.…

A: Given below the detailed solution

Q: A sequence is said to be an increasing sequence if n+1 n+1 Sn2Sn+1 c O n+1

A: I will use the definition of increasing sequence.

Q: 3. The third term in the sequence defined by t = 5, t, = t-1+8 is 21 С. 5 d. 29 a. b. 13

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Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that…

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Q: Suppose that a sequence is defined as follows. dy a1=-4, an = 3an-1+4 or n> 2 List the first four…

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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: Which of the following sets is NOT a geometric sequence? a. 22,2,2°2-1 1 1 1 1 5. 2'6'18'54 1, 0.5,…

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Q: A sequence is said to be an increasing sequence if . . Vn 21 .a O n+1 n+1 2n,c O n+1 n+1 d O n

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Q: Find the limit of the sequence; {an}n21 if: 1+2/2+3/3+.+n/ñ An choose one alternative as an answer:…

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Q: Match each of the following sequence statements with the correct sequence. a, =3a a +3 for n2 1 and…

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Q: Use the difference an+1 – an to show that the sequence - {n – 6“}n=1 +0o - is strictly increasing or…

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Q: Does the sequences increasing or decreasing ? (1 – , ) , (n – 2"), (n – n²) 4n-1

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: (b) Let T, be the sequence of positive multiples of 13, ... .e. 13, 26, 39, ... i. Find the first…

A: The given sequence  Tn=13n:n≥1and n is a positive integer. (i) To find the first term greater than…

Q: What is the closed linear form of the sequence of the negative even integers starting with -2? A) An…

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Q: The 8th term of the geometric 1 1 4 sequence 2 3'9' 27

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5. Consider the table and match the explicit formula that fits the geometric sequence n 1 4 f (n) a.…

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Q: Which of the following formulas generate the sequence first few terms of which are 5, 8, 11, 14, 17,…

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Q: A sequence is said to be decreasing sequence if Vn 21 ....... 'n+1 .a O .b O n+ 1 n Sn+12n.c O O p…

A: We need to find condition in which a sequence is said to be decreasing. The answer to the question…

Q: Use the difference an+1 a, to show that the sequence {n - 3"+∞ Sn=1 is strictly increasing or…

A: Calculus  mathematics sequence

Q: Write the terms of the given arithmetic sequence and then graph the sequence. 8. f(n) =7 – 7--n for…

A: Given arithmetic sequence are 8.    f(n)=7-12n   for  n≥0 9.    f(n)=3+2(n-1) for 1≤n≤5

Q: A sequence is said to be an increasing sequence if Vn 21 ......... n+1 a O 25,00 n+1 zn.c O n+1 S =S…

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

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Q: 1. A sequence is defined by the recursive rule c, =c, 2" with c, =5. Which of the following…

A: Given a sequence:    cn=cn-1.2n-1          and c1=5

Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: e) Suppose {a,}nEN is a sequence defined by a, = (a) Show that a, = 3- an-1+ 2. (b) Find (dn -…

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Q: Part of a geometric sequence is shown on each graph. Write an explicit rule for the sequence. 5. 6.…

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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.