Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts, 5, 26, 81, 188, 365, .. Note the first term above is a1, not ao. an =

Q: Find a general term (as a function of the variable n) for the sequence…

A: Given term of sequence a1=65a2=3625a3=216125a4=1296625

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: 6n2 – 7n An 2n2 + 9

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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 defined by: 4 +4 An An +1 Find: a2 %3D a3 %3D

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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 the indicated nth partial sum of the arithmetic sequence.

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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: 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: 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: 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: 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: For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

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

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Q: Consider the sequence whose nth term is an = 3 . 5n.Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

A: Given: The sequence whose nth term is an=3×5n. To find: a2a1, a3a2,a4a3,a5a4.

Q: Find a formula for the nth term of the sequence. 1, - 16, 81, - 256, 625, ... Determine the…

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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: Consider the sequence {an} where an 3n- n3+n.Write the first 6 terms and then find thei sum. (hint:…

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Q: Q9) Find the rule for the nth term (term an )of the following sequence: a) 2, 6, 18, 54, ... b)…

A: Note: According to Bartleby we have to answer only the first three subparts please upload the…

Q: Find a general term (as a function of the variable n) for the sequence {a1, a2, az, a4, ...} =…

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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 G(r) for the sequence 0,0,0,2, -6, 18, -54, ...

A: We have to write Generating function:

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: 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: 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: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: Vhat is the sequence of the number of equal parts 9, the black squares, on this fractals? +*** O a.…

A: Here in the sequence we count the number of black squares corresponding to each term. Then we get…

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 the term a4 for the sequence defined below:           a1 = -2                   an = 5an-1…

A: Given The given expressions are an=5an-1+10 and a1=-2.

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: Write the general rule for the nth term of this quadratic number sequence – 3, 8, 23, 42, 65, … Then…

A: Quadratic number sequence: A quadratic sequence is one with a quadratic nth term formula, i.e. one…

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: Determine whether the following sequences can be described by a polynomial, and if so, of what…

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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: 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: Find a formula for the nth term of the sequence. 1, - 16, 81, - 256, 625, ... Determine the…

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

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: 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: Q9) Find the rule for the nth term (term an )of the following sequence: a) 2, 6, 18, 54, ... b)…

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Q: Determine the boundlessness and monotonicity of the sequence An 2n+1 Зп -2

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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 sequencean= 1,6,17,40,81,146......n= 0,1,2,3,4,5......1st difference ∆…

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.