Find the patterns of the sequences, describe the pattern, and use them on the next two terms. 1, -3, 9, -27. . . 2, 6, 7, 21, 22, 66, 67. . .

Q: Determine if the following sequences are arithmetic or geometric, if they have a common difference…

A: Q2)Given,-6,-2,2,6,10,14,...we can see that:-6 + 4 = -2-2 + 4= 22+4=66+4=1010+4=14So, it is in…

Q: %3D The first three terms of the sequence defined by 1 =-1, =-3t,-1+4 are A) 7, -17, 55 B) -1, 7,…

A: Given that  The sequence is  To find the first three terms of the sequence

Q: Given two terms in an arithmetic sequence find the first five terms. 2) a = 24 and a, = 64 %3D 10 30…

A: The nth term of an arithmetic sequence is given by      an = a+(n-1)d  Where a is the first term and…

Q: 3) Find the next three terms and find the 300th term of the sequence 1, 5, 9, 13...

A: The sequence is given by 1, 5, 9, 13,....... Formula Used : an = a1+n-1d To evaluate : The next…

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 are geometric sequences? Select all correct answers. Select all that apply: 5…

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Q: a2 Consider the sequence 1, –2, 4, –8, 16, . . Find aj a2 az and What do you observe?

A: The given sequence is 1,-2, 4, -8, 16,…

Q: Find the values of x for which the sequence 6, x, 12, . . . is(a) arithmetic (b) geometric

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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: O Write the first five terms of each sequence. a) a, 2"-1,n21, b) b, = b +b 2,b, =1,b, 2, n23.

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Q: Which of these sequences are geometric sequences? Select all that apply. 2, 4, 8, 16, 32, 64, 128..…

A: The geometric series a1,a2,a3,a4.....has the same common ratio r, i.e. a2a1=a3a2

Q: A. Consider the given geometric sequences below, find the sum of the indicated number of terms. 1.…

A: Given that;                           1. 3, 12, 48, 192, ...2. 40, 20, 10, 5, ...3. 12, 12, 12, 12,…

Q: (a) Find the first four terms of the sequence defined by a, = n². a1 = a2 = аз a4 %3D

A: (a) A sequence is given by an=n2 We need to find first four terms of the sequence.…

Q: Does the sequences increasing or decreasing ? (1-) , , (n – 2"), (n – n²) п ;) , (n – 2") , (n – n²)…

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Q: Use differences to find a pattern in the sequence.9,15,16,13,7,-1,-10

A: A sequence can have arithmetic progression, geometric progression or harmonic progression.In case of…

Q: Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence.…

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Q: Write the first five terms of the sequence. (Assume that n begins with 1.) a, = 8(-1)" + '(,) n - a1…

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Q: Write the first five terms of the sequence with the given nth term. 4 a, = 5 + n2 a2 = a3 %3D a5

A: Here we have to find the first five terms of sequence.

Q: C. Using the recursive definition =3 (a,)` - ; if a, = 2. Create a sequence for the first five…

A: a1 =2 a2=7 a3=142

Q: Given the sequence, formulate a rule for the given sequence. 1. { 0, 3, 6, 9,...} 2. { 3, 6, 9, 12,…

A: Consider the given sequence (1)  U=0, 3, 6, 9…… Here, first term a=0Common difference d=3-0=3=6-3=3…

Q: Consider the sequence: 9, 12. 17, 24,33 What is the explicit expression of the sequence? Find the…

A: As it is mentioned to write the quadratic equation for the explicit expression of the sequence,…

Q: Which of the geometric sequences below have a first term of 3 and a common ratio of-2? O 3, 6, 12,…

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Q: 3. State the next two terms of this sequence: 1, 3, 6, 10, 15 ...

A: We have the sequence 1 , 3 , 6 , 10 , 15 , ....... We can see the difference between each…

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: we have to write the first four terms of the given sequence whose general term is given as an=n2n!

Q: Find the erplicit formula for the sequence 25, 5, 1, ,.

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Q: 0,1,4,9_,_,_ pattern: find the sequence

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Q: n of the sequence -3, 2, 7, 12, ...?

A: S=-3,2,7,12....TnAbove sequence is an Arithmetic Progression a1=-3d=a2-a1=2-(-3)=5

Q: Find the first term, a1, and the common difference, d, of the sequence. 13, 10, 7, 4, 1, ...

A: The given sequence is 13, 10, 7, 4, 1,.... So the first term is=a1= 13

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

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Q: Determine whether the statement, 'The sequence 2, 6, 24, 120, ........ is an example of a geometric…

A: Given:2,6,24,120.....

Q: Write a rule for the n​ the term of the geometric sequence. Then identify the first six terms of the…

A: Here, we have a1=25Common Ratio=1025=25The nth term of the geometric sequence is given…

Q: Does the sequences increasing or decreasing ? (1 – , ) , (n – 2"), (n – n²) 4n-1

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: B. Find the tenth term in each sequence. 1. -6, -2,0,1,2,... 2. 18, 14, 10,6,...

A: The given sequences, 1. -6,-2,0,1,32,...... 2. 18,14,10,6,.... we have to find tenth term of the…

Q: Find the general term an , for the sequence 3,7,11,15,

A: Given sequence is 3, 7, 11, 15. We have to find the general term an. Here, 7-3=4 11-7=4 15-11=4…

Q: B. Find the next term of the following sequence. 6. 2, 6, 10, 14, ... 7. 1, 3, 5, 7, ... 20, 14, 8,…

A: Given :   2,6,10,14.. 1,3,5,7,.. 20,14,8,2,.. 12,32,52,... 36,1,8,0

Q: Which of the following are geometric sequences? Select all correct answers. Select all that apply:…

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Q: Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence. 2…

A: A sequence is called an arithmetic sequence, if the difference between two consecutive terms is a…

Q: Consider the sequence 1, -2, 4, -8, 16, . . . . Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

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Q: Write the first five terms of the sequence. Leave the terms in fraction form. 1. а, 3D 16(0.5)"-1

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Q: Write the first five terms of the sequence. (Assume that n begins with 0.) (-1)"(n + 4)! an = n! ao…

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Q: 11) Find a pattern for each sequence, describe the pattern, and use it to show the next two terms.…

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Q: Write an explicit formula for each sequence. Find the 12th term. , =a, +(n-1)d 2. 7, 14, 21, 28, 35,…

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Q: the sequence an се

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Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: The general term of a sequence is given as ,an=n2n!. To find the first four terms of the given…

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…

Q: In the sequence {1,5,9,13,17,} which term is a3?

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Q: 1000, 100, 10, 5, -5, 5, –5, ... 34, 27, 20, 13, . 6, 24, 96, 384, ...

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Q: Closed formula for the sequence 2,5,12,29,70,169,408,...A0 = 2

A: We have given that a0 = 2. Our first digit of the sequence is 2.

Q: Write the first five terms of the sequence. (Assume that n begins with 1.) an = 5(-1)" + n + 1 a2 аз

A: To find the first term we plug n=1 in the given formula  To find the second term we plug n=2 in the…