Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18, 29, 47, …? Why or why not.

Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: For the sequence 1, 4, 7, 10, .. . its nth term is

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Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: Use polynomial fitting to find the formula for the nth term of the sequence (a„)n>1 which starts, 9,…

A: We need to construct the difference table to determine the degree of the polynomial that needs to be…

Q: Use polynomial fitting to find a closed formula for the sequence (an)n 2 1: 4,11, 20, 31, 44,..

A: Given Sentence is 4,11,20,31,44......We can see that       11-4 =7                        }⇒9-7=2…

Q: Use polynomial fitting to find a closed formula for the sequence (@n)n e N: -2, -1,4,13,26, ...

A: Given the sequence  -2,-1,4,13,26,........ Using polynomial fitting to find the closed formula for…

Q: For the sequence an = 2(an- - 2) and a1 = 3, its first term is its second term is its third term is…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (a)n20 which starts, 1,…

A: As per the question we have : a0 = 1 a1 = 10 a2 = 31 a3 = 76 a4 = 157 a5 = 286 And we have to find…

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

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Q: Find the 8th term of the sequence -5,- 27 2187 6561 2187 D cannot be determined 5n

A: Given: Sequence: -5, -53, -59, -527, ... To Find: The 8th term of the given sequence

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n≥1 which starts,…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts, 7,…

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Q: For the sequence an = 13 + ( – 1)", its first term is its second term is its third term is its…

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

A: The given sequence in the question is:

Q: Find a formula for the sequence

A: In this question, we have to solve the third-order difference equation in general form and then…

Q: 4.

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an),20 which starts, 1,…

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

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Q: Write an explicit formula for the sequence. 16 256 1, 2, 16, 3. 5

A: Given sequence 1,2,(16/3),16,(256/5),...... Explicit formula for the sequence is. Steps are written…

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

A: we have been given recursion formula : an = 4an-1 for n ≥ 2 a1 = 3  we have to write the first four…

Q: nd the greatest term of the sequence 1 5/2 25/4 less than 5000

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Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: Find a formula for the nth term in the sequence: 4 10 16 22 28 2 6 12' 20' 30 >... nth term is

A: The given sequence is  4/2, 10/6, 16/12, 22/20, 28/30,................. To find nth term

Q: find a formula for the nth term of the sequence. 1, -4, 9, -16, 25,c

A: It can be written as,

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

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Q: For the sequence defined by: 3 1 – 4 An An +1 = - Find: a2 = a3 %3D

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts, 0,…

A: Given sequence is  0,7,20,39,64,95,...

Q: Find the 8th term, ag, for the sequence. an = - 9n +6 %3D

A: Given :an=-9n+6

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

A: Given: an=an-1+4, a1=12 For finding first four terms of given sequence, we put n=2,3,4,5 in given…

Q: 2. Use polynomial fitting to find a closed formula for the sequence (an)n e! E N: -2, –1,4,13,26,.

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>o which starts, 0,…

A: We have to find  the formula for the nth term using polynomial fitting of the sequence (an)n≥0 we…

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts, 5,…

A: Given that, the sequence is 5,28,81,188,365,⋯. Find the difference of the sequence as follows, an…

Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an),n20 which starts,…

A: To use polynomial fitting to find the formula for the nth term of the below sequence. 0, 2, 6, 12,…

Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: Use polynomial fitting to find the forumla for the nth term of the sequence (an) n>and equal to 0…

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Q: use polynomial fitting to find the formula for the nth term of the sequence (an)n> or equal to 0…

A: Given sequence, -1,10,27,50,79,114

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts, 2,…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n20 which starts, 3.…

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Q: Write an explicit rule for the sequence. 13, a, = 4a, %3D n-1 a.

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Q: Find a closed formula for the sequence with recursive definition An = 2an-1 – an-2 with a1 = 1 and…

A: The closed formula for a sequence is used to define the general term of a sequence. The recursive…

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n20 which starts, 3,…

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Q: Find the tenth term in the sequence. an = n + 2

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (a,)n21 which starts, 9,…

A: Here, We have to find an by using polynomial fitting

Q: Write the expression for the nth term of sequence 2, -1, (1/2), (-1/4), (1/8)

A: Consider the given sequence: 2, -1, (1/2), (-1/4), (1/8)

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts, 0,…

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Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 7…

A: a1=7  &  an=an-1+5  for  n≥2 When n=2, a2=a2-1+5⇒a2=a1+5⇒a2=7+5⇒a2=12 When n=3,…

Q: Closed formula for the sequence 2,5,12,29,70,169,408,...A0 = 2

A: We have given that a0 = 2. Our first digit of the sequence is 2.

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…

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.