1. Use the common ratio to calculate the next 3 terms for the sequence: 2, 4, 8, 16, .. а. 32, 64, 128 b. 18, 20, 22 с. 20, 24, 28 d. 64, 256, 1024

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: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

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: 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: Find the common ratio of the given sequence. 3 1 1 1 1

A: To find the common ratio:

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: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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Q: The general term for the sequence ,. is: 369 12 15 4'5'6'7 is: s... 3n n+1 3n 3+2 n+3 n+1

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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: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Find the expression of the general term of the sequence given by: 2 4 8 1, 2'6' 24' 120’ 720 16 32

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Q: Calculate the first four terms of the following sequence, starting with n = 1. b1 = 4, b2 = 2, b, =…

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Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * О…

A: Given  First term of sequence is 5 , common ratio is 2  To find:- Sixth term of geometric sequence

Q: Find the first four terms of the sequence given by the following. an=2(5)", n= 1, 2, 3...

A: SOLUTION-

Q: Find the nth term of a sequence whose first several terms are given. 7 11 15 19 49' 16' 25'* 3, an

A: To find  The nth term of the given sequence

Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the common ratio to calculate the next 3 terms for the sequence: 2,4,8,16

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Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…

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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: Find the first 5 terms of the sequence defined byan = 10/n .

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

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Q: What is the value of r for the following sequence. 1/2,1/4,1/8,1/16 ..

A: In the question we have to find the value of r.

Q: Find the Third,fourth and fifth term of the sequence defined by a1=2,a2=3, and an=(-1)an-1+an-2

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Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: Find a formula for the nth term of the sequence in terms of n. 2 22 23 24 15 20' 25 30' 35 1 an for…

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Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

Q: Determine the formula for the following sequence −15,−12,−9,−6,−3

A: Since, we have been given the sequence as -15, -12, -9, -6, -3.Our aim is to construct the formula…

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203…

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Q: What is the n^th term of the following sequence 1,4,7,10

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Q: 9. Find the sum of the first 20 terms of the geometric sequence 2,6,18,.... A. 3,486,784,400 B.…

A: The series a geometric series. We can easily solve using formula for sum of geometric series

Q: Find the expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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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: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given: A sequence is arithmetic sequence in which a1=-2, d=14 and S=21. To find the number of terms…

Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

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Q: Write the first four terms of the sequence, where n = 1,2,3, 4, . .. n3 an = 1+n² (A) 글, 음, 음, 몸 (B)…

A: Given  an = n31+n2 We have to find first four terms of the sequence.

Q: Find the common ratio of the geometric sequence 40, 30, 22-

A: Given series is, 40,30,2212,...

Q: 回 ☆ Find the sum of the indicated number of terms of the arithmetic sequence. 34, 29, 24, ...; n =…

A: Given arithmetic sequence Find the sum of 21 terms

Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...

A: Topic = Sequence

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

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Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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

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Q: Given the following sequence, provide the (unsimplified) 14th term: 2,-6, 18,-54, ...

A: See the attachment

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: Determine the next four terms in each of the following sequence 1. 4, 8, 12, 16, . 2. 3, 4, 7, 12,…

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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.