Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. 1) -1, -3, -9, -27, ... 1 2) 2, 2' 8' 32 1 ...

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: In geometric sequence a1, a2,, an , if a2 = 44 and a4 = 176, then the common ratio is O 8 1 4 3. O 2

A: Given that in a geometric sequence  a2  = 44 And  a4 = 176  We need to find common ratio . As we…

Q: In a geometric sequence t, = 625, and the common ratio is r = For what value of 1s t %3D 25

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Q: Find the 6th term of a geometric sequence is the first term is 2 and the common ratio is 3 a6=

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Q: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: For each sequence, determine whether it appears to be geometric. If it does, find the common ratio.…

A: Solve the series

Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: For each sequence, determine whether it appears to be geometric. If it does, find the common ratio.…

A: Given problem:- For each sequence, determine whether it appears to be geometric. If it does, find…

Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

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: For each sequence, determine whether it appears to be geometric. If it does, find the common ratio.…

A: The given sequence,a) 8, 10, 12, 14,.....b) 10, -40, 160, -640,....c) 25, 5, 1, 15,.......

Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

A: We need to find nth term for given series.  First we will find a general pattern.

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

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Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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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: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

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: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

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Q: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

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Q: Determine whether or not the sequence is geometric. If it is, find the common ratio r. (If an answer…

A: Given Sequence is  5, 20,80,320,....... Which is a geometric series

Q: If a1, a2, a3, a4, ... is a geometric sequence with common ratio r, show that and determine the…

A: Given  is a geometric series with common ratio r, so we have

Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

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: Determine if the sequence is geometric. If it is geometric, find the common ratio. a) 2, 6, 18,…

A: For the given sequences (a). The sequence is not in GP  (b).  The sequence is in GP with common…

Q: Find the common ratio and S, for geometric sequence 27, 9, 3.

A: To find the common ratio and S5 for a given geometric sequence

Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

Q: In geometric sequence a1, a2, , an , if a5 3328 and a7 53248, then the common ratio is %3D 3 O 4 O…

A: In the GP Find the common ratio of. The GP Fifth and seventh term are given

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: Find the first five terms of the sequence and determine if it is geometric. if it is geometric, find…

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Q: Determine if the sequence is geometric. If it is, find the common ration, the 8th term, and the…

A: This question is related to sequence and series, We will solve it using given information.

Q: For Exercise, the nth term of a sequence is given. Find the indicated term. 2" find a5 an (п + 2)!

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Q: Show that the given sequence is arithmetic, and find the common difference.53, 48, 43, . . . , 58 -…

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Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

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Q: For each sequence, find a formula for the general term, an. Assume that the first term in the…

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Q: n-1 a =2 .

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Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: Given the sequence of "5, 9, 13, 17, ...". Determine the sum of its first 10 terms. O 210 O 220 O…

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Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Determine if the sequence is geometric. If it is, find the common ratio and the nth term. 5) -3,…

A: Given: -3, -15, -75, -375, ... are given sequenceTo identify whether the given sequence are in G.P.…

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

A: See the attachment

Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

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Q: The general term of the Fibonacci sequence is: A) F, = V5 A-V6((노)"- (보)") B C ()" - (→4)") D

A: given,

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.