A sequence {an} is called decreasing if An 2 an+1 for all n E N. صواب ihi

Q: Please give an example of a sequence (an) that has: (a) an(k) = (1/k) as a subsequence where n(k)=…

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Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other…

Q: 24. Let (an) and (bn) be two sequences with general terms defined by 2n 1 2n 1 Σ and bn = an = k=n+1…

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Q: 11. Let (an) be the sequence defined recursively by, a1 = 3, a2 = 4, for n > 3, an 2ап-1 + аn-2.…

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Q: Consider the following sequence: {an} = an+1 Use the ratio an - to show that the given sequence {a,…

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Q: For the sequence defined by: a1 = 1 5 An+1 = An + 4 Find: a2 az = a4 = II

A: Topic = Sequence

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: A sequence is said to be an increasing sequence if .. Vnz1 =S .a n+1 Sn2Sn+1.b O 2n.c O n+1 .d O n+1

A: A sequence is said to be an increasing sequence if...∀n≥1 To select the correct option  Sn+1 = Sn…

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: Use the difference an+1 – an to show that the sequence | {n – gny+o0 - Sn=1 is strictly increasing…

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Q: 1 ;, n > 3. n vIn n Let an Show that the sequence {an}-3 is decreasing.

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Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

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: A sequence {am} is called increasing, if an > an+1 for all n > 1. Select one: O True O False

A: We can answer it as below as per the definition of increasing function.

Q: Let an be the n th element of the sequence 5,8,11,14,17,.., then an=d xn+c for constant values d and…

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Q: In an n. formula of a sequence, the general term an is given as a function of the index

A: Recall: Arithmetic progression

Q: Show that the sequence +o0 is eventually strictly increasing or eventually strictly decreasing. an+1…

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Q: 1. Let the sequence defined by (5" +7") be given. Show that the sequence is (a) bounded and…

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Q: A sequence {an} is called decreasing an S an+1 for all n E N. ulgn

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Q: Give an example of a sequence (an) and (bn) such that (an) and (bn)  diverges and (anbn) converges.…

A: Consider two sequences (an) and (bn) which are,

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: A sequence is defined by f(0) = -4, f(n) = f(n – 1)- 2 for n > 1. Write a definition for the %3D |…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find an explicit formula for a sequence of the form a,, az, a3 with the initial terms given below.…

A: To find  An explicit formula for a sequence of the form with the given initial terms.

Q: A sequence {an} is called increasing if an < an+1 for all n E N. ylgn ihi

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Q: Let a sequence be defined by a, =1,a, = 1 and a, =an-1 +a-2 for all n > 2. a Find n+1 for n =…

A: Given information:-

Q: let a sequence be defined by a1=1,a2=1.and an=an-1+an-2 for all n>2 Find an+1/an for n=1,2,3,4

A: Solution-

Q: 1 and the recursive Which sequence could be described by the first term: aj 2 definition: An+1 =…

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Q: the can be generated by f(n) = {Fn – 1) + if n = 0, The sequence is O 1,2,3,4,5,6,.. 1,3,5,7,9,.. O…

A: Given that f(n) =  f(n-1) + 1 ; n&gt;=1 And f(0) = 0

Q: Determine whether the sequence is increasing, decreasing, or not monotoni 7n – 8 an 8n + 2

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Q: A sequence {a.} is said to have property I provided a,< an+1, for all natural numbers n, and it is…

A: Topic  =Sequence

Q: Find the first 5 terms of the sequence an defined below. S -2n + 3 if n is divisible by 3 if n is…

A: Given : an = -2n+3  if n is divisible by 3-n-2   if n is not divisible by 3

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: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly…

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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: th A sequence is defined by f(0)=-4, f(n)=f(n-1)-2for n > 1. Write a definition for the n term of…

A: Given:f0=-4 , fn=fn-1 for n≥1then write a definition for the nth term of the sequence.

Q: The Fibonacci sequence is defined recursively by An+ 2) = An+ 1)+ An), n = 1, 2,., with (1) = 1, A2)…

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Q: 6. Suppose (an) is a sequence and there exist two numbers e, L (with 0 < c < 1) such that |an – L| <…

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Q: A sequence {a n} is defined as follows: ao =2 a1 = 1 for n22,an=3•an-1-n·an-2 +1 What is a3?

A: a3=-2

Q: Consider the following sequence: 5" {an} = n=1 An+1 Use the ratio to show that the given sequence…

A: Given sequence an=5n2n2n=1+∞

Q: whether the statement is true or false. b) Every sequence has a monotone subsequence.

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

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: an = {-5,–1,3,7,11, ... }

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Q: The nth term of a sequence is given. Find the first 4 terms. 2n 1 %3D + 2n 5 7 3 1, OT8 15'8 7. 1 1…

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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: Use the graphs of the arithmetic sequences {an} and {bn} to solve:If {bn} is a finite sequence whose…

A: Consider the following graphs of the sequences an and bn. From the above graph the sequence obtained…

Q: Use the difference an+1 - an to show that the sequence {n – 9"t0 Sn=1 is strictly increasing or…

A: Topic   Function decreasing and increasing  Given function is strictly decreasing.

Q: let {an} be an m-sequence of period n. suppose that n is divisible by 6. show that an-an+n/6 +…

A: Note : Let us denote the period as N so that we can differentiate between the period and the…