Can a sequence be both arithmetic and geometric? Givereasons for your answer

Q: Four distinct positive integers a, b, c, and d form an arithmetic sequence. Also, the integers a, b,…

A: If we have an arithmetic sequence, then it is of the form n, n+m , n+2m, n+3m, .... Here n is the…

Q: Write an explicit formula for the nth term of a sequence Question Find an explicit formula for the…

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Q: What is a geometric sequence? Write an expression for the nth term of a geometric sequence that has…

A: Geometric Sequence: A sequence in which each term is found by multiplying the previous term by a…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence, 7, 3, -1, -5,…

A: Given arithmetic sequence is 7,3,-1,-5,...... Here, first term, a=7 Common difference,…

Q: What is a geometric sequence? Give an example with your explanation.

A: Geometric sequence: Any sequence a1, a2, a3,.... is called geometric sequence if a2a1=a3a2=...…

Q: whether the sequence is arithmetic.

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

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Q: Write a recursive formula for the sequence represented by the explicit formula. 1 an 5(4)n-1…

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Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that…

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the…

Q: Use a graphing calculator to find the first 10 terms of the sequence an = Зп + 5. its 9th term is…

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

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Q: the arithmetic sequence below.

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences.

A: We have to find indicated terms of the geometric sequence (4)  3, 6, 12, ....... 20th term

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: we have to write the first four terms of the given sequence whose general term is given as an=n2n!

Q: an arithmetic sequence a1, a2, · ., an , if the first term is 5 and the common difference is 2, then…

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Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

Q: Use a graphing calculator to find the first 10 terms of the sequence an and a1 5. an-1 its 9th term…

A: Given

Q: Write a recursive formula and an explicit formula for the following arithmetic sequence. - 3, 4, 11,…

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Q: Write a recursive formula for the sequence represented by the explicit formula. 2. an =3(3) (3)n-…

A: Initial value problem....

Q: Is the sequence an arithmetic? 7+ 2n Your answer is (input yes or no) if your answer is yes, its…

A: Given:- an = 1/(7+2n)  To find :- Check given sequence is arithmetic or not, if yes the find first…

Q: (a) What is a sequence?(b) What is a recursive sequence?

A: sequence is an enumerated collection of objects in which repetitions are allowed and order of the…

Q: An arithmetic sequence can always be expressed as a(n)______sequence.(a) Fibonacci (b)…

A: We know that an arithmetic sequence is a sequence in which each term is  the sum of previous term…

Q: 51. Find the sum of the first 40 terms of the sequence. {1, 6, 11, 16, ...} (See Example 7)

A: The sum of A.P is given by Sn=n22a+n-1d. Here a is the first term, n is the number of terms and…

Q: Write a rule for the nth term of the arithmetic sequence.

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Q: estion 28 Find the next term of the sequence: 243, 81, 27, .... A Moving to another question will…

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Q: Questio Find the infinite sum of the geometric sequence with a = 6, r if it exists. Question Help: D…

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Q: Consider the sequence Describe the behavior of the sequence is the sequence monotone? Select is the…

A: A sequence will be monotonic if it is continuously increasing or continuously decreasing . Sequence…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence -7, -3, 1, 5,........…

A: Given arithmetic sequence is -7, -3, 1, 5,........ . We have to find the 20th term of the sequence.…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not…

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Q: What is an arithmetic sequence? Write a formula for the nth term of an arithmetic sequence.

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence, an = an-1 -12, a1 =…

A: We have to write the general term  nth  term of the arithmetic sequence: an=an-1-12, a1=24 Then by…

Q: Cauchy unbounded. A sequence is

A: we know that a sequence converges if it is a Cauchy's Sequence, Also every convergent sequence is…

Q: Yes, the sequence is geometric. No, the sequence is not geometric.

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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 .

Q: he arithmetic sequence wit

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Q: A diagram or method used to predict or determine the next term in a sequence. (Use ALL CAPS) Your…

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Q: True or false: If the sequence a, b, c  is arithmetic, then the sequence  2a,2b,2c  is geometric.…

A: If the sequence a, b, c is arithmetic, then the sequence  2a, 2b, 2c  is geometric.

Q: Use a graphing calculator to find the first 10 terms of the sequence an = 1/(an-1) and a1=15 its…

A: an+1=1an-1, a1=15 For, n=1 from the recurrence relation an+1=1an-1 we get  a2=1a1-1=115-1=114=0.07

Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci…

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

Q: DEF - ABC what is the sequence that maps ABC to DEF?

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Q: Write a formula for the general term the nth term of the arithmetic sequence 7, 3, -1, -5, . . . .…

A: The given arithmetic sequence is 7,3,-1,-5,... To find the general formula for the given sequence…

Q: Write a formula for the general term of the geometric sequence. Then use the formula for a, to find…

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Q: It is given that three positive integers form an arithmetic sequence. Find these three integers if…

A: Let the three integers be a-d, a and a+d.

Q: . b. determine if the sequence is linear, quadratic, or neither. Also write a sentence to justify my…

A: Here we have to determine  if the sequence is linear, quadratic, or neither.  The given sequence is;…

Q: Write a formula for the general term the nth term of the arithmetic sequence 1, 5, 9, 13, . . . . Do…

A: Given arithmetic sequence - 1, 5, 9, 13 ...............a = first term = 1d = common difference = 5-1…

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.