Q1 Which of the following sequences converge? In (n") (2n+1) an (n+4)! d, = be %3D %3D (n+1)! {a,), (b,) {d,} Option 2 O Option 1 O {a,), (d,) (c,), (d,)

Q: Let a sequence a(sub n) be defined by a(sub n) = 2a(sub n-1)+3 with a(sub 0) = -1. Prove by…

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Q: 30. а, 2 1+ %3D - n

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Q: What are absolute converging, conditional converging and divergent sequences ? (nln n)

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Q: Find the explicit formula of the following sequence. 8 (72, 24, 8, 3, ...} O a O b Oc - Od ƒ(n) = a₁…

A: Given sequence is 72, 24, 8, 83, ...

Q: 5. The subsequence of (xn) = () is.. a) (1층..) 0) (1.층,급.) b) (1,1,1, ..) a) (1.-) 6. The sequence…

A: Every subsequence has a pattern.  According to guidelince we solve only first question.

Q: 6.0. 3) What are the first three terms of the sequence defined by the recursive formulas t₁ = 2 and…

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Q: Find functions defined on the set of nonnegative integers that can be used to define the sequences…

A: For (a), Given: Here, the sequence is f(n)=(-1)n+13n+1 for each n∈ℕ.

Q: Q8) The sequence 5 +(-1)" an' a) converges to 1 b) converges to c) converges to 0 d) diverges |5

A: an = 5+(-1)n5      = ∑n=1∞5+(-1)n5 =∞ ∑n=1∞5+(-1)n5 diverges to ∞

Q: Does the sequences converges or diverges ? A) . (1-)") .«1 +(-1)"), ((-1)". (n+3 2n3 \n+1, n3+1

A: SOLUTION-

Q: Let U be the set of first 10 even positive integers, A is set of multiples of 3 in U and B is set of…

A: It is given that; U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {3, 6, 9} B = {4, 8}

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

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Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: A sequence U_(n) is defined by {(7n)/(2n-1)}. List the first five elements of U_(n).

A: The answer is in step 2.

Q: nat if xn and yn Cauchy sequence, then xn >

A: A sequence is {a} is called Cauchy sequence if for ∈>0 there exists N such that m, n>N then…

Q: Prove if the following sequences are monotonic and find their limit where possible…

A: According to questionWe have to prove following sequences are monotonic or non-monotonic.

Q: Find the closed form for the generating function for the following sequences: a) (9,0), (9,1),…

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Q: 1- if (x,) Chauchy sequence show that (x,) bounded.

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Q: Do the following scquences {a„} converge or diverge? Justify your answers. (a) an = 3 (b) an –…

A: "Since you have posted a question with multiple suparts, we will solve  three subparts (d), (e) and…

Q: o prove that knVA=| Test the seuence (ConViordív) of (10) an = (^_-) ) an 15 ら 9n: 3ntl 3n-1 (の+ (7)…

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Q: The generating function of the sequence 4,4,4,4,4 is

A: # To find generating function of sequence  4,4,4,4,4,4 ??

Q: Consider the set S which includes the sequence {(1,),(¿, ) ; (¿, 1) ; ...; (0, 1)}. Now consider the…

A: (a) Given S=1,12,12,23,13,34,...,0,1. The members of S heap or cluster near 0,1 and every…

Q: What are the first four terms of the sequence n+1 00 3n-1 n=1 Select one: 3 2 4 3 O None of the…

A: Given problem:-

Q: Identify the sequence graphed below and the average rate of change from n = 0 to n = 2. 11 (1,10) 10…

A: Solution not match any option

Q: (a) (p^q) Art p^(qAr) (b) p → (p → q), p q (c) q (p r), ¬r, q F -p (d) F (pAq) p (e) PFq - (pAq) (f)…

A: As per bartleby guideline for more than three sub parts asked only first three are to be answered…

Q: Q1/ Isthe sequence {a,} converge ? († - ) -

A: If a sequence converges to some limit, then it is convergent; otherwise it is divergent.

Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: Is the sequence a, convergent or divergent? Exp n+1

A: The given sequence is

Q: Aşağıdaki dizilerden hangisi “ yakınsak, azalan ve en küçük üst sının 1" olan bir dizidir? b) {an}=…

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Q: Q3/ Find out the convolution of two sequences given below: X(n) = x1(n) * x2(n) X1(n) = { 1, 0 , -3…

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Q: A sequence a,,a,,a,,a, a of real numbers is such that Can the arithmetic mean of {a,,a,,a,) be less…

A: The arithmetic mean of the sequence a1,a2,a3,⋯an is defined by the formula, A.M.=a1+a2+a3+⋯+ann…

Q: 1. Let a, = 1 and an+1 = 1+ 1+an (a) Find the first six terms of the sequence {an}. (b) Prove that…

A: As you asked multiple sub parts so I answered 1st three subpart.

Q: A sequence can be generated by using a_(n)=a_((n-1))+4. If a_(1)=2, what is the value of a_(20).

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Q: = {1,2,...,100} then H is equal-- {1,2,3,...,1

A: We are entitled to solve one question at a time , please resubmit the other question if you wish to…

Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are…

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Q: The first four terms of the sequence defined by An = nan-1+n'an-2, ao = 3, aj= 5 are ao = 3, a1 = 5,…

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