Hello I am in Discrete Mathematics and Im trying to figure out this question on my hw it states: "Consider the sequence given by 1, 3, 6, 10, 15, 21,...." a) Give a closed formula for an. b) Give a recursive formula for an

Q: Refer back to the previous question with the following sequence: 3, 7, 11, 15... Part b) Write and…

A: According to questionSequence 3,7,11, 15...

Q: What are the next two numbers of this sequence 9, 16, 23, ___, ____ and what is an expression for…

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Q: The strain of bacteria double in size and then divide every 20 min. Let a, be the initial number of…

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Q: 5. Consider the sequence defined by the recursive formula AN = 2 AN-1-3 AN-2 and starting with A₁ =…

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Q: Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is…

A: it is not permissible by the company to provide personal detail....so sorry for that Given an is…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: 1. Answer the following questions with a solution. a) Write down the stated term for the nth term of…

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Q: DIRECTIONS: Write the explicit and recursive rules for each sequence? Write the first 4 terms of the…

A: Comment: We’ll answer the three questions since the exact one wasn’t specified. Given Tylers saving…

Q: i) Find the general term (an) of the sequence 24 6 16 50 12 ' 3'3 7'21 69 17

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: Given a1=7 and an=an-1+1

Q: Is the sequence an = 9n - 19 arithmetic? Your answer is (input yes or no): If your answer is yes,…

A: Substitute 1 for n in the given sequence an=9n-19 to obtain the sequence. a1=9(1)-19   =9-19…

Q: 4. Given the matrix C = 463 9 -2 5 5 1 12 48 -3 find bases for both the row space and column space…

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Q: Which recursive sequence would produce the sequence 6, –15, 48, ..? O a1 = 6 and an= - 3a, 1 + 3 %3D…

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Q: 1 11 2 3 4 1 5. Give a recursive formula for the sequence 1, 4, 7, 10, 13, 16, .

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Q: th Write an explicit formula for an, the n" term of the sequence 2,-5,-12, ....

A: Given:2,-5,-12,.......Given sequence is in A.Pa=2…

Q: erms a1, a2, 43,., IS deni an = 2", for n 2 1. The sequence B, with terms b1, b2, b3, .., is defined…

A: Given :-  The sequence A , with terms a1 , a2 , a3 , ..... are defined by  an = 2n for n ≥ 1. The…

Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: What is a formula for the nth term of the given sequence? 4, 16, 64... An = 4(4)1-n Am = 1(;)n…

A: We are given a sequence : 4,16,64,... We need to find the formula for nth term of the sequence.…

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: An arithmetic sequence has uj = 40, u2 = 32, u3 324. |(a) Find the common difference, d. (b) Find…

A: Given that  An arithmetic sequence has u1=40,u2=32 and u3=24.

Q: 14. Write a recursive formula for the sequence a) 3, -5, -13, -21,... b) 6.-2, 3, .

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Q: Find the first five terms of the sequence defined by the following recursive definition. a, = 13 an…

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: Q2. a) Write the explicit formula for the nth term of the sequence below. 4, 6, 10, 18, 34, ... b)…

A: Find your answer below

Q: 1. A sequence is defined recursively below. Find the fifth term. an-1 an An-2 = 2 a, = 2

A: We can make it easier for you.

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: . What is the 16th term of the sequence -11,-8,-5,-2,…..? 2. What is the 9th term of the sequence…

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Q: Write down the first fin terms of the following recursively defined Sequence a₁ = -4; an+₁ = -2a₁-4

A: Here we find first five terms of a sequence.

Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .

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.