What is a geometric sequence? Write an expression for the nth term of a geometric sequence that has first term a and common ratio r.

Q: Is the following a geometric sequence? State yes or no, and explain how you know. If it is…

A: We can check whether it is geometric or not as below

Q: 13. Which geometric sequence has a common ratio of -9? O {-1, -9, 81, 729, ..} O {1, -9, 81, -729,…

A: We have to tell which geometric sequence has a common ratio of -9 the given geometric sequence are…

Q: Write an equation for the nth term of the arithmetic sequence.

A: the nth term of the arithmetic sequence is given by

Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with…

A: Term formula of geometric series is Where an= n_th term r=common ratio

Q: Find the nth term of the arithmetic sequence (a,) whose initial term a and common difference d are…

A:

Q: 1. Explain the difference between the following terms. Provide an example of each type of sequence.…

A: "Since you have posted multiple questions, so we will solve only the first question for you."…

Q: (1 point) Find a formula for the general term a, of the arithmetic sequence (starting with a1): {4,…

A: a1=4 a2=-2 a3=-8 a4=-11 Note that commond difference d=-6

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: An arithmetic sequence is defined as consecutive terms that have a common difference. O True O False

A: NOTE: Refresh your page if you can't see any equations. . the nth term of the arithmetic sequence is…

Q: Find the term ag for the geometric sequence with first term, a, = 4, and common ratio, r= 3 ag (Type…

A: The solution is given as

Q: Write an expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 . Give…

A: An expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 will be =…

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

A: Solve by geometric sequence general term formula.

Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: 16 ind the common ratio of a geometric sequence whose third term is and whose fifth term is 3 ?…

A:

Q: Write a formula for the general term (the nth term) of the geometric sequence 100, 10, 1, 1/10, . .…

A: 100, 10, 1, 110, ........ Here, a=First term=100r=common ratio=second termfirst term=10100=110

Q: What is a sequence? What notation do we use to denote the terms of a sequence?

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Q: %3D

A:

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: 3 roblem 4. The third term of a geometric sequence is 9, and the common ratio is Find the fifth…

A: Given problem:- The third term of a geometric sequence is 9, and the common ratio is 3/2   Find the…

Q: An arithmetic sequence whose first term is 2 has the property that its second, third, and seventh…

A: Given The arithmetic sequence whose first term is 2 has the property that its second, third, and…

Q: A geometric sequence has a first term of 8/3 (fraction) and a fourth term of 9.  Find the common…

A: For the given GPfirst term a=83fourth term T4=9 To find the common ratio r

Q: Is the following a geometric sequence? State yes or no, and explain how you know. If it is…

A:

Q: Write an expression that gives the requested term. The 11th term of the geometric sequence with…

A: We have to write an expression that gives the requested term.

Q: Consider the geometric sequence defined by an=3 (2) n–1 1. Find the first four terms of the…

A: The given geometric sequence is: an=3×2n-1

Q: Find the explicit formula for the general nth term of the geometric sequence described below.…

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

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Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 3, 12, 48, 192,…

A: For a G p  , a,ar ,ar2, . . . arn-1  General term is arn-1                    [a=first term  , r =…

Q: Write an expression that gives the requested term. The 11th term of the geometric sequence with…

A:

Q: Write an expression for the sum of the first n terms of a geometric sequence.

A: Given data:   The given number of terms in the geometric sequence is: n.   The expression for the n…

Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

A: Given Sequence: 3, -1, 1, 3, . . . To find: Determine whether the given sequence is arithmetic,…

Q: In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this…

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Q: Give an example of an arithmetic sequence and geometric sequence, each with at least 6 terms

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Q: The first term of a geometric sequence is 3. The third term of that geometric sequence is 432. Find…

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Q: Find the 75th term of the arithmetic sequence with first term 2 and common difference -1/2.

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Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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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: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: 12. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively,…

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Q: Find the common ratio and write out the first four terms of the geometric sequence -1 6n 7 Common…

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Q: 4. An arithmetic sequence has the first term of 10 and a common difference of-2. Find the sum of the…

A: Topic = Arithmetic sequence

Q: The first three terms of a geometric sequence are lnx16, lnx 8, lnx 4, for x > 0. Find the common…

A: Here given three terms in geometrical sequence. We have to calculate common ratio.

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: ind the 14th term of the geometric sequence 10, 40, 160,

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Q: Find the general term un for an arithmetic sequence with: a) seventh term 1 and fifteenth term -39

A: Seventh term is 1, fifteenth term is -39

Q: 15. Write the general formula in finding the sum of the terms of a FINITE geometric sequence.

A: We use concept of difference of sequence..

Q: Process Questions: 1. How will you determine the next term of a geometric sequence ? 2. How will…

A: (1) How to determine the next term of a geometric sequence. A geometric sequence have a common…

Q: 1. Create an arithmetic sequence and explain why it is arithmetic. 2. Create a geometric sequence…

A: Arithmetic Sequence A sequence is said to arithmetic if the difference between consecutive terms is…

Q: What is the common ratio in a geometric sequence?

A: we have to tell what is the common ratio in a geometric sequence.

Q: 1. When is a list of numbers called a geometric sequence ? 2. In what ways can you express a…

A: This problems are related to sequence and series.

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.