Use polynomial fitting to find the formula for the nth term of the sequence (an),20 which starts, 1, 2, 4, 8, 15, 26, ... ||

Q: 8n2 + 1n + 1 an 7n2 + 9n + 9

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Q: For the sequence an = n +1' its first term is its second term is its third term is its fourth term…

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

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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: 1 +(1)/(2), 1 +(3)/(4), 1 +(7)/(8), 1 +(15)/(16 Write an expression for thenth term of the…

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Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each…

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,...…

Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

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

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Q: DGive the following sequence for f(x) = 4x^2 - x ,  when x is -4, 1, 2       A58, 14, 3 B - 64, -…

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Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Determine whether the sequence an= 5n+3 Justify your answer. is monotonic. Is it bounded?

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Q: A sequence has a recursive formulatn = tn-1+nº, tị = 5. Determine t3.

A: The given recursive formula of the sequence is: tn=tn-1+n3...(1) And t1=5

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

A: Given: The given sequence is as follows: 0, 1, 6, 15, 28, 45,... Objective: The objective is to find…

Q: Use forward differencing to determine which of the following sequences (an) is not a polynomial of…

A: degree 2

Q: Use the method of finite differences to find a closed polynomial formula for the following sequence…

A: 1, 3, 21, 91, 273, 651, 1333, 2451, 4161, 6643,... find the first difference D1=2,18, 70, 182,…

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: Find a5 for the sequence with generating function (2/(1−x)^2)*(x/(1−x−x^2)

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

A: We find First difference, Second difference ,.... upto we get constant difference. From the step…

Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

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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