Consider the series Σ (ӕ — аn 3 (х — 8)2 + - 8)4 (x – 8)6 + 25 - 3! (х — 8)8 125 · 4! +... 5- 2! n=no Find an expression for an. an = In the summation formula n starts at n = no. What is your starting index no? По (Note that because the validity of either of your answers depends on the other, if you enter only one, both will be marked wrong.)

Q: ind b3 for the sequence generated by the sequence br+1 = 3b,, bo = 2. A) 27 В) 54 C) 6 D) 162 For…

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Q: 2. The sum of the first n terms of a series is given by Sm = 14n – 2n² a) Find the nth term of the…

A: Given nth partial sum of the series.

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 sum of n terms of a certain series is 4" – 1 for all values of n Find the first three terms and…

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Q: Prove {-23n +5} n=1 to infinity tends to negative infinity. (question is not incomplete, this is the…

A: Given sequence is an=−23n+5. We have to prove that sequence an tends to -∞ that is we have to find…

Q: For the series 2 + (-4) + 8 + (-16) + … a1 =  r =  The sum of the first 7 terms, S7, =

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Q: Consider the sum (3)2 + (8)² + (13)2 + +(15n-2)2: ... (a) Write the sum in sigma notation.

A: Consider the sum  (3)2+82+132+.....................+(15n-2)2

Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: 4 8 Suppose the sequence {b1, b2, b3, ...} is given by {-1, , 9' 27 Which, if any, of the following…

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Q: Shapley value of each senior = (31 + 3(1/2 + 1/2 + 1))/5040 = 37/840 Shapley value of each junior =…

A: Sure, I can explain where the numbers 31 and 30 come from in the calculation of the Shapley values

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

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Q: Q.12) Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, a.) find…

A: Given that Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, Than we…

Q: Write the series using summation notation. -3 + 4 - 5+6-7 Σ i i=1

A: Given series is Let the nth term of the series is  then, In general, for n=1,2,3,4,5, we have

Q: How is the series 5 + 8 + 11 + ... +77 represented in summation notation? 25 ΟΣ(3q + 5) q=0 17 ΟΣ(4q…

A: Given Series is  5+8+11+........+77

Q: Assume "t*1*" represents the first term of a sequence and "t*n*" represents the nth term. What is…

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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: The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) =…

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Q: Use the summation notation to rewrite the following expression. 7 (7 − 1³) − (7 − 2³) + (7 − 3³) −…

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Q: Which of the following is true? Select one: a. (n+1)= n(n) for any real number b. г(n) = n(n+1) for…

A: The objective of the question is to determine which of the given mathematical statements is true.

Q: Whch of the following Showe the first 3 terms of the Taglor sena expansion for about X> 2 ? A. *:1-…

A: Given, f(x)=1x we have to determine the first 3 terms of the taylor series expansion forgiven f(x)…

Q: Suppose young Gauss had been asked to compute the sum 6 + 12 + 18 + 24 + ... + 1,494 + 1,500 1. How…

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