Talking about sequences and limits .How can I from  | 2/n + 3/(n+1)  - 0 | < ɛ  get that the N = 5/ɛ ?

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: The limit of the sequence a.- (1+ (a) - (3) e) (c)e None(e)

A: This is 1 to the power infinity form question so accoding to that I wrote the formula to Solve this…

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: 1. Which of the following functions can be used to generate the terms in the sequence 3, 5, 7, 9,…

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Q: Identify the closed form for the sequence: 1,0, 3, 2, 5, 4, 7, 6, .... (Note: The answer should not…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 5. CK4cri +3 for every enteger Kzl Co=3 4.

A: Given Ck=4Ck-1+3, for every integer k≥1and C0=3

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

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: N + 1 aN N° + 1 is monotonic. Show that the sequence

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Q: #4. Use the notation for sequences to translate the following to mathematical equations. a) The…

A: Given: The statement is "The second term of the sequence is 5." To find: The mathematical equations…

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

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Q: what notation is used in sequences and functions?

A: To define: Notations used in sequences and functions.

Q: 12. (4 points) A sequence is given by the recursive definition an = An-1, +An-2 A0 = 1. a₁ = 1 and…

A: The objective of the question is to find the third term (a_3) of a sequence defined by the recursive…

Q: Consider the sequence S(-1)"-2n² 4+n³ n=1 (a) Write the 129th term in this sequence. You do not have…

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Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly…

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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 the limit of the sequence; {an}n21 if: 1+2/2+3/3+.+n/ñ An choose one alternative as an answer:…

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Q: sequence is a mapping from the natural numbers to the real numbers

A: Introduction Sequence Any mapping from the set of natural numbers to the set of real numbers is…

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: 13. (e :) Find the recurrence relation for the power series solution of y" + 16y=0

A: Solution - 13 :Given that the differential equation y''+16y=0

Q: how do we show that the term of the sequence U(n+1)=aUn+b is the one in the picture

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Q: 5) A sequence lan satisfies a= a = 1 and a, = a,n-1 an-2 +n (when n23). Find az020 %3D %3D (A) 2020…

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Q: Question 3 Consider the following sequences 71 (i) In (1 + n) (ii) e^/(n²+1), (iii) √√n²+2n -7.…

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Q: Which function describes the arithmetic sequence shown? 7,9, 11, 13, 15, 17,.. ) A) f(x) = 2x - 5 B)…

A: Given an arithmetic sequence, 7,9,11,13,15,17,............