Find the number of terms in the geometric sequence. 16,8,4,2,..........,1/16

Q: Write the first five terms of the geometric sequence with the first term, a, = 4, and common ratio,…

A: A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by…

Q: Find a2 and a3 for the geometric sequence, 8, a2, a3, 27

A: Consider the sequence 8, a2, a3, 27. here, the first term is a=8 and fourth term is ar3=27   known…

Q: C. Write the next 3 terms of the sequence and write the rule for the nth term. 1. 2, 8, 18, . 4. -2,…

A: see below the answer As per bartleby guideline I have to solve first three question

Q: Which of the following is an increasing arithmetic sequence? O -2, -4, -6, -8, ... -12, -10, -8, -6,…

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Q: Which of the following is an arithmetic sequence with a common difference of -2? Submit O 8, -6, -4,…

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

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Q: Write the rule of the geometric sequence. 3, 6, 12, 24,..

A: Given geometric sequence is, 3,6,12,24,.... Here a=3 Now to find r consider, r=6/3=2 Then a=3 and…

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: What is the common ratio of the geometric sequence? (1, 32) + 30 25 'n 20 - 15 + 10 (2. 8)

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Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. -4,-2,0,2,4

A: topic - arithmetic progression

Q: Determine the number of terms in the arithmetic sequence below. -30, - 29, - 28, ..., 77, 78, 79, 80…

A: Given: Arithmetic sequence, -30.-29,-28,...,77,78,79,80

Q: Which of the following is NOT a geometric sequence? О5, 20, 45, 80, O4, – 12, 48, – 144, ... 08, 40,…

A: we know that if the sequence is in Geomentric sequence that is a1,a2,a3,a4,.....than the ratios that…

Q: Determine if the sequence is arithmetic. If it is, find the common difference. 10, 20, 30, 40, 51…

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Q: Tell whether the sequence is arithmetic, geometric, or neither. 3, 12, 48, 192,... 9, 18, 25, 30,.…

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Q: What is the rule for the geometric sequence? 48, 24, 12, 6, .. n-1 an = 48 2 а, — 48 — 24 (п — 1) |…

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Q: Find the common difference d for the arithmetic sequence. 8,3,-2, -7, ..

A: The given sequence is: 8,3,-2,-7,...

Q: Determine which of the sequence coverage or diverge? (-1) 1:{+}, 2:{ +9} - :

A: We will use the definition of convergence of a sequence to check the convergence of the sequence.

Q: What is the rule for the geometric sequence? 64, -32, 16, -8 ...

A: Given : 64, -32, 16, -8 ...

Q: Write the first six terms of the arithmetic sequence shown below an=an-1-12, a, = 29 87 %3D

A: Arithmetic sequence has common difference between each term . let common difference is d , Then  d2…

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: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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Q: Write an expression for the sum of the first n terms of a geometric sequence.

A: Given data:   The given number of terms in the geometric sequence is: n.   The expression for the n…

Q: What is the 5th term of the geometric sequence 3/20 3/2 and 15 question

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Q: Determine the number of terms in the arithmetic sequence below. 50, 49, 48, .., 57, 58, 59, 60 The…

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Q: Which of the following is an increasing arithmetic sequence? -2, -4, -6, -8, .. -12, -10, -8, -6,…

A: Please refer the attached image for complete solution.

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: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

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Q: Find the sum of the arithmetic sequence, Sn- 5, 10, 15, 20,..., 125

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Q: What is the 2th term of the sequence defined below? [r, = 9 , = r +6.30 6

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Q: 3. Write an expression for the general term of the sequence 0, 3, 8, 15, 24, .

A: Sequence given is- 0,3,8,15,24,... We have to find the general term for the sequence given. For…

Q: Which sequence is an arithmetic sequence? Choose the correct answer below O A. 8, 15, 22, 29, 36, ..…

A: In an Arithmetic Sequence the difference between one term and the next is a constant.

Q: Determine the harmonic mean of the first 4 terms of the sequence: 3, 5, 7,- a. 6 b. 5.08 c. 5.12 d.…

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Q: Which equation can be used to find the nth term for the sequence below? 2, 5, 10, 17, .. t= term n=…

A: The equation is:-

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: Homework: nth term of a Sequence 2,4,8,16,... 3 5 2) 1,7 9 16 7 .... 25

A: Given query is to find the nth term of the sequence.

Q: Find the 5h term of the geometric sequence: – 2, – 6, – 18, ... a5 Preview

A: Solving

Q: Find the number of terms in the geometric sequence 16, 8, 4, 2, ... , 16

A: The nth term of the GP with a as the first term, r as the common ratio is given by, an=arn-1

Q: check if the sequence is increasing or decreasing or neither an=10n/n!

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Q: Which of the following is a geometric sequence? O3, 5, 8, 11, ... O3, 5, 7, 9, ... O 64, 32, 16, 8,…

A: Given: Sn=3, 5, 8, 11,...Sn=3, 5, 7, 9,...Sn=64, 32, 16, 8,...Sn=-6, -8, -10,....

Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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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: Find the first four terms of the sequence ?? = 5? − 1.

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Q: Find a2 and a3 for the geometric sequence. 12, a2, a3, (4)/(9)

A: Given: a1=12, a4=49 we know that for geometric sequence first four terms is given as a, ar, ar2, ar3…

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

A: we have to find a2 and a3 for the geometric sequence 2, a2, a3, -54.

Q: Write a function to model the geometric sequence in the table. n| 1 ,2, 3, 4 , 5 an|75, 15, 3, 3/5…

A: Given the geometric series:

Q: What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ? Blank 1 Blank 1 Add your…

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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: What are the first three terms of a geometric sequence with a = 3, and r = 2? options: 3, 5, 7…

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Q: Determine if the sequence is arithmetic. If it is, find the common difference. 1) −30, −40, −50,…

A: (a) Consider the given sequence as, -30, -40, -50, -60,...

Q: What is the missing term of the geometric sequence below? 7,2.63.... A 3 21 28 D 35

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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.