Explain how the following could be a geometric sequence.                 7,-7,7,-7,7.......

Q: Find the sum of the first 9 terms of a geometric progression The sequence is: 4, 8, 16, 32...

A: Given that  The sequence is given  To find the sum of the first 9 terms of the geometric progress

Q: Write an equation for the nth term of the geometric sequence: 18, -12, 8, 16 32 3¹9

A: Given a geometric sequence.

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

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Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 1,-4,-9,-14,-19

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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: Write the general formula of a sequence if the 5th term is -32 and the 20th term is 103. (Note: do…

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

A: Let's find.

Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 5,6,7,8,9,...

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

A: topic - arithmetic progression

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.3, a1 =-1.7

A: To write the first six terms of the arithmetic sequence an=an-1-0.3,a1=-1.7

Q: Write a formula for the arithmetic sequence that starts as follows: 3, 8, . . . Write the first five…

A: Here the given arithmetic sequence as Since the difference between any two terms of the above…

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: What is the value of the 23rd term of the arithmetic sequence -5, -9, -13, -17, -21,...? a23

A: The objective is to find the value of 23rd term of the given arithmetic sequence

Q: Which of the following is an arithmetic sequence with common difference 2? A) 1,-3,5,-7,9,...…

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Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 7.5,6,7,8,9,...

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

A: Given : 64, -32, 16, -8 ...

Q: Find the common differenced for the arithmetic sequence. 2,-3,-8,-13, ... %3D

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Q: Write the equation for the nth term of the geometric sequence 64,-32,16,-8,........ an=

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Q: Find the common difference of the arithmetic sequence with a 4 = 10 and a 7 = 19.

A: Given that

Q: What is the common difference of the arithmetic sequence? -1, 2 1,.

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Q: Find the missing term of the geometric sequence. It could be its geometric mean or its opposite. 13.…

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

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Q: Write the recursive formula for the geometric sequence below. 2, - 10, 50, - 250, ... A(1) =; A(n) =…

A: We have to find the recursive formula for geometric sequence.

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

A: Given query is to find the 6 terms of arithmetic sequence.

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

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Q: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: Write the first five terms of a sequence that is both NOT arithmetic and NOT geometric. Explain how…

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Q: Find the sum of the indicated number of terms of the geometric sequence. 27 12,9, ,...; n = 5 4.…

A: Consider the geometric sequence 12, 9, 27/4, . . .

Q: What it the common ratio of the geometric sequence -10, 5, -2.50, 1.25, ...? O A-2 ов -2 o C. 2 O D.…

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Q: What is the first term in the geometric sequence given that a4 = 40 and r = -? %3D 2

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Q: The first term of an arithmetic sequence is -12. The common difference of the sequence is 7. What is…

A: We have to find the sum of  first 30 terms of the sequence

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: Tell whether the sequence is arithmetic 1. 100, 50, 25, 12.5, 6.25,.... 2. 0, -4, -8, -12,…

A: Tell whether the sequence is arithmetic 1. 100, 50, 25, 12.5, 6.25,.... 2. 0, -4, -8, -12,…

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.4, a1 = 1.6.

A: We have given recurrence relation between terms of arithmetic sequence an=an-1-0.4 and a1=1.6 We…

Q: What are the 2nd and 3rd terms to the arithmetic sequence: -24, -12...

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Q: Write the recursive formula for the geometric sequence below. 2, -6, 18, - 54, .. A(1) = ; A(n) =…

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Q: the sequence is arithmetic. .100, 50, 25, 12.5, 6.25,

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

A: The given sequence is 16, 8, 4, 2, …,1/16.Here, the common ratio is 8/16 = 1/2.From the given…

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

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Q: Which of the following is an arithmetic sequence? O 12, 15, 20, 27, .. о-1.5, —1, O -1.5, –1, – ,…

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Q: Write the first five terms of the geometric sequence wi and common ratio r. ag = 6, r = - 6. 12' 24'…

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Q: Find the missing terms for the arithmetic sequence .., -1, __ 1, .

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Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

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.