Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3 O B. a, = 2 OC. a, = 6, r= 3 O D. a, =6, r= 2

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: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, 5, 5,…

A: G. P. Series problem.....

Q: 14 To the nearest hundredth, is the value of 7(1.2) n=1 Solving a Sequence or Series? Arithmetic or…

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Q: Find the first term and the common ratio for the geometric sequence. Round approximations to the…

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Q: Find the last term An, of the given geometric sequence: _____1) 1, 5, 25, 125,.....up to A7 _____2)…

A: Nth term of a GP is given by arn-1

Q: 9. The heights to which a ball bounces after it is dropped are shown in the table. The heights form…

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Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

Q: B. Write the last four terms before a,of the geometric sequence in which a̟ and r are as follows: 3.…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: What is the first term of the geometric sequence presented in the table below? n 4 9. 243 59,049…

A: Given a4 = 243          a9 = 59.049

Q: What is the common ratio/difference of the given sequence? 36, 12, 4. O +3 O-3 O *3 *1/3 O 1/3

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Q: c) Write the explicit formula for the nth term of the sequence below. 5 3 3, 2, 2' 5' 3 7 4 ....

A: Explicit formula for sequence problem.....

Q: Find the sum to infinity of the geometric sequence given below 5. 16, 4, 1, ... 6. aj= 1000, r =…

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Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

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Q: Find the indicated term for the geometric sequence with the first term, a1, and common ratio, r.…

A: Given that the first term of the geometric series a1=8 and the common ratio of the geometric…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/9,…

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Q: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

Q: 8. Give the first 3 terms of the following geometric sequence and the n" term, a. a. a=4 andr 2 d. a…

A: Here given that                             a=4 and r=2 We have to find the first 3 terms of the…

Q: is The common ratio for the geometric sequence %.4. 2. 1. O A) -2 O B) O C) 2 O D) -

A: The given geometric sequence is                                                     8 , 4 , 2 , 1 ,…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 2, 2° + 1,…

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Q: Find a formula for the nth term of the sequence in terms of n. 2 2? 23 24 12' 15' 18' 21' 24 1 an =…

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Q: The first term of a geometric sequence is 5. The common ratio = -3. Find the 7th term. a, = a(r)-1 O…

A: It is in gp

Q: Find the sum of the indicated number of terms of the geometric sequence. 2,6, 18, ... n = 8 Need…

A: To find the sum of indicated terms we need to find common ratio Divide second term by first term to…

Q: Find the indicated term for the geometric sequence with first term, a,, and common ratio, r. Find…

A: The given problem is to find the 7th term in the geometric sequence,  Given first term n sequence is…

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: 1. Use the common ratio to calculate the next 3 terms for the sequence: 2, 4, 8, 16, .. а. 32, 64,…

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 21, 63,…

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Q: D. Given the specified terms of geometric sequence, find the first term and the common ratio, 1. az…

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Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: First we need to check series is Geometric or not so we calculate common ratios or consecutive terms

Q: What is a formula for the nth term of the given sequence? 250, 100, 40...

A: Given Data: Sequence: 250, 100, 40...   The given sequence is a geometric sequence.   The constant…

Q: 3a. The first term of a geometric sequence is 36 and the fourth term is 1/6. What is the value of r?…

A: We have to find r

Q: Write an expression that gives the requested sum. The sum of the first 19 terms of the geometric…

A: Sum formula of geometric series is: Where a= first term  r= common ratio n=number of terms

Q: What is a formula for the nth term of the given sequence? 4, 16, 64... An = 4(4)1-n Am = 1(;)n…

A: We are given a sequence : 4,16,64,... We need to find the formula for nth term of the sequence.…

Q: Find the sum of the first 12 terms of the geometric sequence shown below. 3 2 . 3,-6, 12, The sum of…

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Q: What is the sum of the first 9 terms of the given geometric sequence? 3,9, 27, 81, .. A 351 29,523…

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Q: 14.)Extra Credit: Find the nth term of the sequence whose first several terms are given by ?, . 11…

A: nth term of the given sequence: 21, 54,89,1116,...

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 2, 5'…

A: First I have written a short note about geometric sequence, just use that note for given geometric…

Q: b) The general term of the sequence 21 35 49 63 20' 35' 50' 65 is of the form an+b an cn +d…

A: The given sequence,2120, 3535, 4950,6365,....

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: Topic = Sequence

Q: Find the first four terms of the geometric sequence with c1 = 64 and r = - Select the correct answer…

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Q: Find a, and r for a geometric sequence with the values given below. a, = 135, n= 4, S, = 200 %3D

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Q: B. Write the last four terms before a, of the geometric sequence in which a, and r are as follows:…

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: We know that the nth term of a geometric sequence is given by  a·rn-1 where a is the first term and…

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 first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

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Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1)…

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Q: Find the sum of the first 15 terms of the geometric sequence shown below. 2, 6, 18, 54. . The sum of…

A: Given geometric sequence is: 2, 6, 18, 54, ...

Q: The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

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Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = 9, r= 6…

A: The nth term is, an = arn-1 = 9•6n-1

Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..

A: Solution..

Q: Determine if the given scquence is Geometric or not. For each geometric sequence, give the common…

A: As per the instruction, we will solve the first two question. For (1), 2, 4, 8, 16, 32,  ... Notice…

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.