2. Consider the sequences 2, 5, 12, 29, 70, 169, 408, ... (with ao = 2). a. Describe the rate of growth of this sequence. b. Find a recursive definition for the sequence. c. Find a closed formula for the sequence. d. If you look at the sequence of differences between terms, and then the sequence of second differences, the sequence of third differences, and so on, will you ever get a constant sequence? Explain how you know.

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

Q: Suppose that a sequence is defined as follows. a1=-2, a,=-3a,-+7 for n>2 | List the first four terms…

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Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next…

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Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: Suppose that a sequence is defined as follows. a = 3, a, = -4a,-1+6 for nz 2 List the first four…

A: If given nth term of the sequence and also given first term of the sequence  then we can find…

Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =

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Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: Find the first five terms of the explicit arithmetic sequence. an = 4n 2 %3D O 2, 3, 4, 5, 6 O 6,…

A: we have to find the first five terms of the explicit arithmetic sequence an=4n-2 .

Q: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…

A: Given sequence is: 13,19,127,181, ...

Q: A sequence is said to be decreasing sequence if...... Vn>1 =S b O n+ 1 n n+1C O S 2n.d O n+1

A: Correct option :-  C Detailed Explanation

Q: Find these terms of the sequence (a where an=2-3)"5"

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Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу

A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.

Q: Write the first five terms of the sequence defined recursively. a1 = 43,    ak + 1 = ak − 8 a1?…

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Q: Use the given table to write an explicit and a recursive rule for the sequence. 2. 3. 1 3 4 1 2 3 4…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the recursively defined sequence for n > 1. a1 = 400 a, = }an-1 Which explicit formula…

A: The objective is to find the sequence that represents the sequence. a1=400an=12an-1

Q: Suppose that a sequence is defined as follows. a=2, a,=-3a,-1 for n22 List the first four terms of…

A: Given :              a1 = 2              an = -3 an-1 + 5 To find :                    The first…

Q: For the sequence defined by: a1 = 4 - 2 an an+1 Find: a2 : = az a4

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Q: Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for your…

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Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

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Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: An ontario lottery has the following structure,the first person drawn from the names wins $15000.…

A: We will find out the required values.

Q: The first two numbers in a sequence H are H(1)=2 and H(2)=6. If H is an arithmetic sequence, write…

A: Given : H1 = 2H2 = 6 H is an arithmetic sequence.

Q: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

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Q: Suppose that a sequence is defined as follows. a, =7, a,=a,-1-3 for n>2 List the first four terms of…

A: The objective of the question is determine the four terms of the given sequence.

Q: Find the first 5 terms of the sequence defined byan = 10/n .

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: Suppose that a sequence is defined as follows. a1 =-4, a,= 3a,-1+7 for n22 %3D List the first four…

A: A sequence is defined as follows:- a1=-4, an=3an-1+7 for n≥2 Then for n=2: a2=3a1+7…

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

A:

Q: Consider the following sequence 4/7, 9/14, 5/7, 11/14, ____, if arithmetic, give d. and supply…

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Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: Write an explicit formula for the sequence: 1 1 9' 10 1 1 11' 12' 1 1 13 an = Preview

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Q: For the sequence defined by: a1 = 2 5 An+1 = an - + 4 Find: a2 = az = a4 =

A: Find the values of a2 a3 a4

Q: Suppose that a sequence is defined as follows. dy a1=-4, an = 3an-1+4 or n> 2 List the first four…

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Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a, +10 for n>2 List the first four terms…

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Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: d. If the chosen sequence has a finite number of terms and its sum i are there? e. Express the…

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Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: Refer to the following arithmetic sequence: 2, 10, 18 , 26, 34, 42, .... What is a recursive formula…

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Q: Suppose that a sequence is defined as follows. a1=-5, a,-4a, +10 for n>2 List the first four terms…

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Q: For sequence B, describe a way to produce each new term from the previous term. Sequence B 441 42 40…

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Q: What are the first five terms in the recursive sequence defined by the following? a1=0 an=an−1−1.4…

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Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 '27 '81

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Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 27 '81

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Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

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Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: Find the formula of the general term an of the sequence: 1 1 1 1 9' רי 5' 3 ....

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Q: 2. Find the recursive formula for the following sequence: 2, 5, 10, 17, 26, ... an

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Q: Refer to the following arithmetic sequence: 2, 10, 18, 26, 34, 42, ... What is a non-recursive…

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