Is the following a geometric sequence? State yes or no, and explain how you know. If it is geometric, give the nth term of the sequence 2 3 4 5 - - - - 3' 4' 5' 6'

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: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

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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: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: The second and seventh terms of a geometric sequence are 15 and 46875 respectively. Which term of…

A: Topic =Series

Q: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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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: When finding the nth term in an arithmetic sequence, how do I sole a sequence with fractions? For…

A: In order to find the nth term in an arithmetic sequence of fractions, one should be able to find the…

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 three terms of a geometric sequence are as follows. 81. 27,9 Find the next two terms of…

A: Our objective is to find the next to turn of the geometric sequence.

Q: what is the 7th geometric sequence where the first term is 4 the common ratio is 3

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Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

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Q: If the given sequence is a geometric sequence, find the common ratio. 4, -12, 36, -108, 324 -16 -3 O…

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

A: Here, we will find general nth term and will check if our term is correct or not.

Q: Identify whether the following sequence is an arithmetic sequence or geometric sequence 1,3,9,27

A: The detailed solution is given below Thank you

Q: The first three terms of a geometric sequence are as follows. 32, 16, 8 Find the next two terms of…

A: We have to find next two terms of the given geometric sequence: 32, 16, 8 Here, First term, a=32…

Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…

A: Let the terms of the GP be a,ar,ar^2,ar^3..

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: 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: 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: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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Q: Find the missing term of the geometric sequence. It could be its geometric mean or its opposite. 13.…

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Q: What is the 5th term of the geometric sequence 3/20 3/2 and 15 question

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Q: The second and fifth terms of a geometric  sequence are 30 and 3750, respectively. Which term of the…

A: nth term of a geometric sequence is given by- an=arn-1 Where a is the first term and r is the common…

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

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Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36.Calculate the sum of the…

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: If the given sequence is a geometric sequence, find the common ratio. If it is not a geometric…

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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: 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: Please answer the questions with solution. What is the next term in the geometric sequence 3, −9,…

A: we have to find

Q: The sequence is geometric: 3, 13, 23, 33,.. O True False

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Q: Is the following a geometric sequence? What's the common ratio? 9,3,1,1/3,....

A: For Geo metric sequencea1 , a2 , a3 , ---anCommon ratio r=a2a1=a3a2----=anan-1nth term an=ran-1

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

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Q: The 12th term of an arithmetic sequence is 11 and the 15th term is 17. Find the 7th term. O 3 O 1 O…

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Q: The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

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Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: In the question we have to determine whether the series is geometric or not.

Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: What are the first five terms of a geometric sequence with a = 3 and r = 2?

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Q: The nth term in a sequence is an. What is the next term position and value represented?

A: Given that :- nth term of a sequence is an next term position =?

Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

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Q: Write the first 5 terms of Geometric sequence whose nth term is an = 6(1/2)n-

A: We will solve the problem

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.