If all tems except ys of the sequence Y1, Y2» Y3». Y9 be given , show that the value of ys is 56 (y4 + Yg) – 28 (y3 + Y7) + 8 (y2 + Yg) – (y1 + Y9) 70

Q: The first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: For the sequence an = an-1+ an - 2 and a1 = 1, az = 2. its first term is its second term is its…

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Q: Find the 11th term of the harmonic sequence1/5,1/8/1/11,1/14,. . .

A: harmonic progression is 1arithmetic progression the given series has a pattern of = 13+previous term…

Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: Identify the closed form for the sequence: 1,0, 3, 2, 5, 4, 7, 6, .... (Note: The answer should not…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

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Q: Show that the sequence 9,12,15,18, ... is an AP. Find its 16th term and the general term.

A: We need to show that the sequence 9, 12, 15, 18, ... is an AP. Here, 12 - 9 = 15 - 12 = 3. And the…

Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

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Q: Find an  for the sequence 1/1 -22/2x1 +33/3x2x1 - 44/4x3x2x1, +...

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Q: Find the Z hransform of the casual sequence i Xx Y where XK = 4K- 29%

A:

Q: Find the first six terms of the sequence. a1 = -3, %3D an = an-1 + 8

A: (1) we need to find the first six terms of the sequence using given recursive formula. (2) we need…

Q: Find an a and y such that 3, x, y, 42, ... becomes an arithmetic sequence. (Hint: and y should be…

A: We need to find x and y such that 3,x,y,42 are in Arithmetic sequence and x and y such that…

Q: The generating function for the sequence 1.0,1.0,1,0,1 is

A: Given sequence is 1,0,1,0,1,0,1 ,....... find the function for the given sequence

Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: Which fünction defines the sequence -6,-10,-14,–18,.., where f(6) = -26? 1) f(x) =-4x - 2 2) (x) =…

A: Given -6, -10, -14, -18 ....

Q: Determine whether the sequence c (-1)"n3 n3 + 3n2 + 3 an %3D

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Q: Consider the sequence where a1 = 2 and a2 = 8, a2n+1= ½(a2n+ a2n-1) and a2n+2 =(a2n * a2n-1) / a2n+1…

A: Let firstly calculate few value of teh sequence a1=2a2=8 Put n=1,2,3,4,5 ........ in…

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: Suppose Suppose a, = 3n? – 3n – 3. Find a closed formula for the sequence of differences by…

A: Given, an = 3n2 -3n +3  We have to find an-an-1

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 12…

A:

Q: Let the sequence 9n be recursively defined by go = 0, 91 = 1, 9n = 9n-1 +29n-2 for n ≥ 2. Show that…

A: Given: The recurrence relation, gn=gn-1+2gn-2, g0=0, g1=1 for n≥2 To show: limn→∞gn=∞

Q: List the first five terms of the sequence. a1 = 2, an+1 = 5an - 5 az = a3 = a4 = as =

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 4…

A: Given recursion formula, an=2an-1+3 for n≥2 a1=4

Q: Find the 10th term of the geometric sequence. aj1 = -5, r = - %3D %3D 10th term:

A: →nth term any geometric sequence is given by,                            an = a1 rn-1 , Where a1  is…

Q: The sequence n-21 is divergent. True False

A: We have given a sequence  ,   n-2. We need to determine sequence is convergent or divergent. We know…

Q: For the sequence an = 10 +(– 1)", its first term is its second term is its third term is its fourth…

A:

Q: Find a closed formula for the sequence defined recursively by bo = 2, bị 3 and b 3b-1 - 2b-2 for…

A: Given sequence is given by  bn = 3bn-1 - 2bn-2 and b0 = 2, b1 = 3. So, b2 = 3*3 - 2*2 = 5 b4 = 3*5 -…

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 2…

A: a1=2 , an=5an-1

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 4…

A: The first term is a1 = 4  and an = 2an-1 + 3 for n ≥ 2

Q: Write Hhe first 3 terns For this recursively defined sequence

A: The solution is in step 2

Q: Consider a sequence whose first five terms are: -1.75, -0.5, 0.75, 2, 3.25 Which function (with…

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 5…

A: Given that, an=3an-1-1a1=5

Q: Find the first 4 terms and the eighth term of the recursively defined sequence. C1 = 7, c2 = - 2,…

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Q: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

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Q: Suppose Suppose an = 2n² – 5n + 5. Find a closed formula for the sequence of differences by…

A: It is given that an=2n2-5n+5. Thus, an-1=2n-12-5n-1+5=2n2-2n+1-5n+5+5=2n2-4n+2-5n+5+5=2n2-9n+12

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

Q: For the sequence an = an -1+ an-2 4, az = 5, its first term is its second term is its third term is…

A:

Q: The generating function for the sequence 1,0,1,0,1,0,1 is

A: We have to find the generating function for the sequence  1 , 0 , 1 , 0 , 1 , 0 ,1  = 1 + 0(x) +…

Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....

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Q: Determine whether the sequence {2n+3 / 2n+1} is increasing, decreasing, or not monotonic.

A: Given: A sequence To Determine: Whether it is increasing, decreasing, or not monotonic.   Concept:

Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: Write the first five terms of the sequence defined recursively as   a1= 3,  ak =2a1-1 + 1 where k…

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Q: (2п)! An

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Q: Find the first three terms of the recursively defined sequence a1 = 3, an = nan-1 %3D

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Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 3…

A: a1=3 , an=4 an-1

Q: Write the first 5 terms of the sequence that follows this recursive rule. a1 = 4 an = an-1 -3

A: Given that  As per our policy we can answer only 1 question.

Q: For the sequence an = ат — 1 + аm — 2 and - - 3, а2 4, a1 || its first term is its second term is…

A: Given   an = an-1+ an-2  a1= 3, a2= 4  Find  1) first term 2) second term  3) third term  4) fourth…