Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: Determine the common ratio, the 6th term and the nth term of the geometric sequence: 4, 12, 36, 108,…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We know that nth term of geometric sequence is, an=a1rn-1 Where a1 is the first term and r is a…

Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: Find the missing terms of the sequence and determine if the sequence is arithmetic,

A: Sequence is said to be geometric when it has common ratio and arithmetic when it has common…

Q: The nth term of the geometric sequence is . a1 = 17, r = -2, n = 8.

A: Given that, a1 = 17, r = -2, n = 8

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Let's find.

Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

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Q: 2. Which of the following is a finite sequence? A. 3,6, 9, 12, 15,.. B. 6,5, 4, 3, 2,1 C. 20, 22,…

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Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Which of the following sequence is an example of a geometric sequence? * O 2, 4, 8, 16, . O -20,…

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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: Find the sum cf the first 50 terms of the arithmetic sequence below. - 13, -6, 1, 8, The sum is

A: We have to find the sum

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 indicated term of the geometric sequence. 3. 7th term of 3, 3 5 25 ... Enter the 7th term…

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Q: Write an equation for the nth term of the given arithmetic

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: General formula for geometric sequence is  an=a1(r)n-1 a1=-3  and r=2 an=a1(r)n-1an=-3(2)n-1

Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

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: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 14/3,…

A: To find the common ratio we divide the second term by the first term.

Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: Given: first terma1 of geometric progression is -3 and common ratior of it is 2 we know that nth…

Q: Write a rule for the n th term of the sequence. Then find a- 11.7,10.8,9.9,9,.. 0.9n+ 12.6

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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…

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Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Solution :-

Q: Write a formula for the general term (the nth term) of the geometric sequence, 3, 12, 48, 192,…

A: For a G p  , a,ar ,ar2, . . . arn-1  General term is arn-1                    [a=first term  , r =…

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

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Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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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: Find the nth term of the geometric sequence with given first term a and common ratio r. a = -5, r=…

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Q: In the geometric sequence 6, 12, 24, 48, …. Which term is 768?

A: For Geometric armories nth term formula is an = a.rn-1 Where  r = common ratio              a= first…

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 a 3, r = - Question Help: D…

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Q: Determine if the sequence is geometric. If it is, find the common ratio. 1) -1, 6, –36, 216, ... 2)…

A: Geometric series when common ratios of consecutive numbers are equal

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: *Find the nth term of the sequence below, starting with n = 0 .. no 3 3 -147,21,-3, | 49

A: To find the nth term of the sequence . First rewrite the terms of  sequence in the form where index…

Q: Determine if the sequence is geometric. If it is, find the common ratio 1) –1, 6, –36, 216, . 2) –1,…

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: ind the 14th term of the geometric sequence 10, 40, 160,

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Q: Which of the following is a geometric sequence? O 0, 1, 1, 2, 3 O 1/2, 1/4, 1/6, 1/8, 1/10 О 2,4, 6,…

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Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: The answer is found in step-2

Q: Find the indicated term of the geometric sequence with the given description. 1 and the second term…

A: First find the common ratio than use the formula for general terms of a geometric sequence.

Q: Is this sequence geometric? 2,4,12,48

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Q: Find a2 and a3 for the geometric sequence, 2, a2, a3, -54.

A: Consider the following geometric sequence: 2,a2,a3,-54 Common ration=a22=a3a2=-54a3 a22=2a3a24=4a32…

Q: determine whether the sequence is a geometric sequence.  4, 12, 36, 108...

A: determine whether the sequence is a geometric sequence.  4, 12, 36, 108...

Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: The first term of the AP is  a = -0.5 Common difference of the AP is d = -0.4 To evaluate : The…

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

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.