Consider the following sequences. Part 1 out of 2 а. 16.3, 16.5, 16.7, 16.9, .. Is this sequence arithmetic or geometric? А. geometric В. arithmetic What is the common difference or common ratio? What is the next number in the sequence?

Q: What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3

A: Remark: The general form of a geometric sequence is a, ar, ar2, ar3, ... where a is the first term…

Q: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?

A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the…

Q: What value, to 2 decimal places, is the 7a term of the geometric sequence that has '2 =15 and 10 =…

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

Q: Find a formula for the general term an of the sequence (starting with a1):…

A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…

Q: Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120,…

A: Given sequence is  4/5 , 4 , 20 , 120 Series is Geometric Progression Series has first term as 4/5…

Q: For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

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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: Determine the nth-term formula for the given sequences, then compute for the 50th term. 9. 1,5, 11,…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 40. Find a, andr for a geometric sequence given that az = 18 and a = 486.

A: Given: a3=18    a6=486

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

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Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

Q: 2. Determine whether the following sequences or series are arithmetic, geometric, or neither.…

A: We have to find if the given sequence is geometric, arithmetic or neither.

Q: Predict the next three terms of the following sequence using a difference table: a) 1,7, 17, 31, 49,…

A: Since there are multiple questions posted, we will answer the first question posted(a). If you want…

Q: Find the eigth term of the geometric sequence from the given information. Express the term as an…

A: Our Aim is to find the eigth term of the geometric sequence given that:-a2=-9 and r=13

Q: S) Predict the nth term of the sequence, given the first five terms. a1 = 2, az = 5, az = 10, a4 =…

A: Given: first 5 terms area1=2; a2=5; a3=10; a4=17; a5=26

Q: e2, e4, e6,e®,..

A: The given sequence is, e2, e4, e6, e8, … To determine whether the sequence is Arithmetic or…

Q: For each of the following sequences, determine the indicated geometric means. 8. 8, ,_25,000,... 9.…

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Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

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Q: Find the first five terms for the following arithmetic sequence tn =-3n + 20. %3D A 17, 14, 11, 8, 5…

A: Given, tn = -3n + 20

Q: Find the missing term of the geometric sequence with the following given that 1 1 a4 = a5 = ag = ?

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Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1): {5,10,15,20,…}

A: The given arithmetic sequence is

Q: Find a formula for the general term anan of the arithmetic sequence (starting with a1a1):…

A: First find the common difference of the given arithmetic sequence than put in the formula for nth…

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: , 256 Find the missing terms from the following geometric sequence: 4,

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Q: 1. Identify each of the following sequences as arithmetic, geometric, or neither by showing all your…

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Q: What is the common ratio of the following geometric sequence?6,15,75/2,375/4,..

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Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: Given that a is a geometric sequence and az = and a5 what is a12?

A: Let the first term is = a and common ratio=r Given that

Q: Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1)…

A: a1=7a2=10d=a2-a1=10-7=3

Q: C. For each of the following sequences, determine the indicated arithmetic means. 7. -15,_, _,15,...…

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Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

Q: Which of the following sequences is an arithmetic sequence? Why? 1. 10, 15, 20, ... 2. 2, 4, 8,16,…

A: Using definition of Arithmetic Sequence.

Q: Find an explicit formula for a sequence of the form     with the initial terms given below. 4, 8,…

A: Given sequence 4, 8, 16, 32, 64, 128, 256....... here  84=168=3216=..........=2 i.e. they have a…

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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Q: (b) 3, 1, 1 1 1 3'9' 27

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Q: Find the 13th term of the following geometric sequence. 4,8,16,32....

A: Here,

Q: Is the following sequence arithmetic, geometric or neither? 2, 10, 50, 250, 1250, 6250

A: Given,         The sequence is 2 , 10 , 50 , 250 , 1250 , 6250 .

Q: For the geometric sequence {4, 16, 64, 256, - . . .. -}, the term a17 O 4.418 O 4.45 O 4.43 4 - 416…

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Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

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Q: What happens to the terms of a geometric sequence when the common ratio is negative?

A: Common ratio of a geometric progression is defined as the ratio of a term with its preceding term.

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: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

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Q: 1. Find S15 for the arithmetic sequence {4, 10, 16, ... }

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

Q: Is the following sequence arithmetic, geometric or neither? 15, 60, 240, 960, 3840, 15360

A: Given,          The sequence is 15 , 60 , 240 , 960 , 3840 , 15360.

Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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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: For the geometric sequence (9, 54, 324, 1944, }, the term a17 =. O 6-68 616 6-610 O 9.616 O 9.618

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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.