Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a sequence is bounded? I already found that it is an arithmetic sequence and the formula is an= 3n-2

Q: The recursive formula of an arithmetic sequence is described below. a1=19,an=an−1+6 Which…

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Q: What is the recursive formula for finding the nth term of the given geometric sequence?

A: Given query is to find the formula for nth term.

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: Given a term in an arithmetic sequence and the common difference find the explicit formula.

A: Let  a sequence is    a,  a+d, a+2d, a+3d, a+4d,.....     , where  First term = a  and   Common…

Q: Given the recursive rule for an arithmetic sequence, write the explicit rule. 5. f(1) = 19 and f(n)…

A: Question number 5,Given,          f1=19 and fn=fn-1-10 for n≥2

Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is…

A: Arithmetic sequence

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: Consider the geometric sequence whose nth term is __. This sequence can also be defined recursively…

A: We need a sequence here.

Q: An arithmetic sequence is given below. 18, 14, 10, 6, ... Write an explicit formula for the n th…

A: Given: An arithmetic sequence : 18,14,10,6, ... To find: An explicit formula for the nth  term an.

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: An arithmetic sequence is given below. 16, 20, 24, 28, Write an explicit formula for the n th term…

A: Given query is to find the explicit formula for nth term.

Q: The first three terms of an arithmetic sequence are as follows. 31, 24, 17 Find the next two terms…

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Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

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: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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

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Q: The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n -…

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Q: Determine whether the sequence is geometric. If so, find the explicit formula for the sequence.

A: The given sequence is : 5, 1, 0.2, 0.04,..... Geometric sequence, is a sequence of numbers where…

Q: Is the sequence an = 5 + 4n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: Given an=5+4n

Q: The first three terms of an arithmetic sequence are as follows. 15, 23, 31 Find the next two terms…

A: Arithmetic Progression is sequence of numbers where any two consecutive number has same difference.…

Q: Given that a is an arithmetic sequence, a1=6 and a10=60, what is a21?

A: Given arithmetic sequence in which we have a1=6 and a10=60. To find: a21 Solution: In arithmetic…

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

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Q: Which of the following is a geometric sequence?

A: We know that,          A sequence is in geometric sequence when the common ratio between the…

Q: Use the difference an+1-an to show that the sequence {n-9"} is strictly increasing or strictly…

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Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: If h is an arithmetic sequence, write a definition for the nth

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Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

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Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: Use the recursive definition to find the first four terms of the arithmetic sequence it defines. an…

A: To find the first four terms

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: Use the following information to answer the questions. The 6th term in the arithmetic sequence is 35…

A: It is given that, the 6th  term is a6=35 and 9th term is a9=50

Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…

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Q: find a formula for a, for the arithmetic sequence.

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Q: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

Q: If 4x,x+2 and x-5 form in arithmetic sequence,what is the value of x?

A: Given         4x  , x+2 and x-5 from in arithmetic sequence.      Since   4x  , x+2 and x-5 are in…

Q: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

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Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

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Q: The explicit formula of an arithmetic sequence is an =-4.5+6.5(n-1), what is the recursive formula?

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Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…

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Q: What is the common ratio, a1, a2, a3, and a4 of this geometric sequence: {(7^(n-2))/3}

A: Consider the provided geometric sequence,

Q: (a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For…

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Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

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.