BONUS: Consider the sequence suggested below: 1, 7, 6, 10,11,13,16,16,21,19,26,22,31, 25, 36,28, 41,31, 46, 34,51,37,56, .. a) Find the 87th term. b) Find the 102nd partial sum (the sum of the first 102 terms).

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: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: Find the nth term of a sequence whose first several terms are given. 3, 7 11 15 19 16' 25 9 an =

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Q: 2. Which sequence has a common difference of -8? {1, -8, 64, -512, 4,096, ..} {536, 528, 520, 512,…

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Q: Find the indicated partial sum for the sequence. 1, 2, 3, 4, 5, 6, ..; S3 1*** S3 = %3D %24

A: 1,2,3,4,5,6....Sn=n22a+n-1dn=3a=1d=1So, S3=322+3-11=322+2=32*4=6S3=1+2+3=6

Q: Determine if the sequence is eventually increasing, eventually decreasing or neither. 3" Un п! II

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Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = 6, r = Preview

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Q: Select the first five terms of the sequence. (Assume that n begins

A: Introduction: A sequence is a collection of numbers (or items) that follow a specific pattern and…

Q: Write an explicit rule for the geometric sequence, Then find the indicated term of the sequence. 11.…

A: topic - geometric sequence

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

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Q: Find the nth partial sum of the arithmetic sequence for the given value of n. -6, -1, 4, 9, ..., n =…

A: We will find the 100th term first and will add first 100 term to find nth partial sum for n= 100

Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: 10. Determine the sum of the sequence 500, 497,494, ... 188,

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Q: Determine whether the sequence is arithmetic or geometric.4, 8, 16, 32, 64, . . ._____________

A: Given:           4, 8, 16, 32, 64, . . .

Q: 5 2² Find the sum of the first 8 terms in the sequence 5, 10, 20,....

A: I am attaching image so that you understand each and every step.

Q: 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 7 8 9. 10

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

A: Given that: 4) -3, -15, -75, -375, ...5) -2, -4, -8, -16...6) 1, -5, 25, -125, ...

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 whether the sequence is arithmetic, geometric, recursive, or none. Write the explicit…

A: We have to solve given problem:

Q: b) (x-y),X, (x+y)

A: The given sequence is (x-y),x,(x+y)......................

Q: B. Find the nth term of the sequence 1. 10, 10, 12, 16, 22, 30, ...

A: Due to our guidelines I am solving only first problem  The given sequence is  10, 10, 12, 16, 22,…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Identify the type of sequence: 56, 49, 42, 35, 28, 21, . ... arithmetic B geometric neither

A: This is an arithmetic sequence.

Q: rite a rule for the n​ th term of the geometric sequence. Then identify the first six terms o

A: Here we have fifth term of G.P = a5=162 The common ratio r=-3 Let first term =a

Q: 14.)Extra Credit: Find the nth term of the sequence whose first several terms are given by ?, . 11…

A: nth term of the given sequence: 21, 54,89,1116,...

Q: Which arithmetic sequence has a common difference of 4? O {n, 4n, 16n, 64n, .} O {n+4, n+16, n+64,…

A: The common difference of an Arithmetic sequence is the difference between any two consecutive terms…

Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?

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Q: ). Find the sum of the finite arithmetic sequence below. Sum of the integers from −100 to 60 −4,…

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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 whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203…

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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

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Q: Which arithmetic sequence has a common difference of -21? O (1,563; 1,587; 1,611; 1,635;...) (32,…

A: Common difference means subtraction of second term and first term

Q: 2. In the sequence: 4, 16, 64, 256,.., find the following: a. 6th term b. 12th term c. 16th term ? ?

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Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: 5. Make up a sequence that have (a) 3, 3, 3, 3, ... as its second differences. (b) 1, 2, 3, 4, 5,…

A: Here, the objective is to find the following: a) 3, 3, 3, 3, .... as its second difference. b)1, 2,…

Q: Find the common ratio of the geometric sequence: {- 3, 21, 147, 1029, – 7203, ...} | r = Submit…

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Q: Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic,…

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Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Write each series in summation notation. (Do not evaluate) Hint: To begin you need to know if it is…

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Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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Q: What is a formula for the nth term of the given sequence? 300, 180, 108...

A: the given sequence is 300, 180, 108...........

Q: (k) Generate a sequence if the first 10 terms are 1, 3, 4, 7, 11, 18, 29, 47, 76, 123?

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Q: 2. Find the nth term of the sequences below: a. 3, -5, 7, - 9, 11, ...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Identify the explicit formula for the nth term of the sequence written below.   −6, 18, −72, 324,

A: There seems to be some error in last two terms, so, I'm excluding them. The sequence has the…

Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: Determine whether the sequence is arithmetic or geometric. Then find the tenth term. 12. 13, 19, 25,…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

A: Determine whether the given sequence is arithmetic, geometric, orneither. If the sequence is…