Write a recursive formula for an, the nth term of the sequence 4, –16, 64, .... | An || ||

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

Q: The first term of a sequence along with a recursion formula for the remaining terms is given below.…

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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: 3. Find a formula for a, for each recursively defined sequence a) az = 2 and An+1 = 3an n+1 b) а, 3D…

A: (a)The given data are: a1=2 an+1=3an The formula for an is given as: an+1=3an Substitute n=1 in the…

Q: Consider the recursive sequence a,+1 (a,)? + 5) with a,-3. f1<a,<5, then the sequence (a,) is O A.…

A: By finding some terms of the sequence we can identify the sequence is increasing or decreasing. then…

Q: 3. Find the formula for the following sequences i. An explicit formula for 2, 6, 18, 54, 162,....…

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Q: Each gives the first term or two of a sequence alongwith a recursion formula for the remaining…

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Q: Write a recursive formula for an, the nth term of the sequence 17, 10, 3,.... An

A: In this question we are given with series and we have to find the first term and the general term…

Q: th Write an explicit formula for an, the n' term of the sequence 12, –6, 3, .... Answer: An Submit…

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Q: Let an be the nth term of the sequence defined recursively by an+1=1/(1+an), and let a1=1. Find a…

A: The nth term of the sequence is an+1=11+an and let a1=1. The Fibonacci sequence is…

Q: 3. Find a non-recursive formula for an for the sequence 3, 6, 12, 24, 48, 96....

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Q: Consider the recursively defined sequence for n > 1. a1 = 400 a, = }an-1 Which explicit formula…

A: The objective is to find the sequence that represents the sequence. a1=400an=12an-1

Q: Each gives the first term or two of a sequence alongwith a recursion formula for the remaining…

A: Given,

Q: Write a recursive formula for an, the n'h term of the sequence 1, –2, –5, ... An Submit Answer An-1

A: Use recursive formula

Q: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: th Write a recursive formula for An, the n term of the sequence 18, 15, 12,... An Submit Answer An-1…

A: Given:      18 , 15 , 12 , ........

Q: Write a recursive formula for an, the n' th term of the sequence 252, –42, 7, ....

A: The given sequence is , 252, —42 , 7,.... We can see that the given sequence is a geometric sequence…

Q: 10. Let (an) be the sequence defined recursively by, a1 = –1, a2 = 7, for n > 3, an = аn-1 + 2ап-2.…

A: It is required to show that, an=2n+3(-1)n for all n.   Let us check for n=1.   a1=21+3(-1)1 -1=2-3…

Q: Use sigma notation to represent the sum of the first seven terms of the following sequence 4,10,16

A: Given sequence, 4,10,16,... To find the sigma notation for the first seven terms of the sequence.

Q: Write a recursive formula for an, the n" term of the sequence 17, 21,

A: Given that: The series is : 17, 21, 25, ....

Q: 1) Assuming that the pattern of the first few terms continues, find a formula for the general term…

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Q: Which of the following sequence satisfies the recursive formula : an 5.an-1;n > 2 %3D O 5, 28, 125,…

A: In the question it is asked to find which series represents recursive formula.

Q: Let (an) be a sequence such that (a)a, where a # 0. Show that la - a (3/4)a? lan-als and deduce that…

A: Given: an be a sequence such that an3→α3, with α≠0. To do: Show that…

Q: 4. Define the sequence an by a, = 1, a, = 33, and an = 3an-1+ 10an-2 for n 2 3. Prove that an = 5" –…

A: Concept used :- we use mathematical induction to solve the given question.

Q: th Write an explicit formula for an, the n" term of the sequence 2,-5,-12, ....

A: Given:2,-5,-12,.......Given sequence is in A.Pa=2…

Q: Let an denote the nth term of a geometric sequence. Let ao= 512 and an+1= 0.5an. What is the…

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Q: a.Find a non-recursive formula for f (n) : f(0) = 7.f(n) = 4f (n - 1)/9 for n21 b.Define the…

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Q: 14. Let a1, a2, a3, ... be the sequence defined by a₁ = 1, and for k ≥ 1, ak+1 k² ak. = Find the…

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Q: Let a(n) be a sequence defined recursively as follows: a(0) = -1 a(1) = 1 a(n+2) = a(n+1)- a(n).…

A: a(0) = -1 a(1) = 1 a(n+2) = a(n+1) - a(n) here  for a(2) put n = 0 a(2) = a(1) - a(0) a(2) = 1 -…

Q: A sequence {an} is called monotonic, if it is neither increasing nor decreasing. Select one: O True…

A: False.

Q: Write a recursive formula for an, the nth term of the sequence 5, –25, 125, ... aj = An Submit…

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Q: A recursive formula for the sequence 18, 9, 4.5, ... is 1 91 = 18; gn = = In-1 1. 9n = 18( -1 2. 91…

A: Given- g1=18,gn=12gn-1 Putting n=2, g2=12g1=12×18=9 Putting n=3, g3=12g1=4.5 According to this…

Q: The first term of a sequence along with a recursion formula for the remaining terms is given below.…

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Q: Let a sequence be defined by a, =1,a, =1. and a =a+a2 for all n > 2.

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence?

A: A sequence is a set of numbers that has a particular order or obeys a general form. Usually, the nth…

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: Write a recursive formula for an, the nth term of the sequence 19, 22, 25, .... An Submit Answer…

A: A sequence is a function from the set of natural numbers to the set of real numbers, that is, the…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: The given recursive formula is                a1=6 and an=-4an-1 The given sequence is a geometric…

Q: Find an explicit formula for the general term an of the sequence.  −1,   1 3, −  1 5,   1 7

A: Find your answer below

Q: Write an explicit formula for an, the nth tern=m of the sequence 14, 21, 28

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Q: 1. Give a recursive definition of a sequence an, n > 1, where an 5n – 7

A: Please see the next step for solution.

Q: Give a recursive definition of the sequence {a,} , n = 1 , 2, 3, ... if an 6n %3D OA. an+1 a, for…

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Q: Prove: if a sequence is defined recursively by a₁ =1 and an = n/(n-1) an-1 for n≥ 2 then an-n for…

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Q: Write a recursive formula  for a_n the n^th term of the sequence  7,21,63 a_1 = a_n=

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Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: 6-5/2, 6-7/4, 6-11/2, 6-19/16, 6-35/32

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Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

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: Write a recursive formula for an, the nth term of the sequence 2, 6, 10, ...

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: a1=10 and an=an-1+2