The first four terms of a sequence are given. Can these terms be the terms of an arithmetic sequence? 15, 8, 1, –8, . .. O Yes, the sequence is arithmetic. O No, the sequence is not arithmetic. If the sequence is arithmetic, find the common difference d. (If the sequence is not arithmetic, enter DNE.) d =

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: sequence is 1, 45,89,133.....

Q: The irst 1our terfns ol a sequence are given. mine whetner these terms Can be the terms of a…

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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 if it exists. Find the infinite sum of the geometric sequence with a = 5, r = Question Help: D…

A: Given that:a=5 and r=37To find the infinite sum of geometric sequence

Q: 13. Which of these is an infinite arithmetic sequence? {845, 169, 33.8, 6.76, ..} {724, -362, 181,…

A: Given the sequences 845,169,33.8,6.76,...724,-362,181,-90.5691,632,573,514232,354,476,598,... The…

Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next…

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Q: Which of the following is true in the sequence 9, 11, 13, 15, ...? Arithmetic Sequence; d = 2 O NOT…

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Q: 13. Which of these is an infinite arithmetic sequence? O {845, 169, 33.8, 6.76, ...} O {232, 354,…

A: If the arithmetic sequence is: a, a+d, a +2d, a+3d, ..... Where 'a' is the first term and 'd' is the…

Q: 3. It is given that p, q, r, s, t are in arithmetic sequence. If p+q+r=9 and s+t= 26, find the (a)…

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Q: In geometric sequence a1, a2,, an , if a2 = 44 and a4 = 176, then the common ratio is O 8 1 4 3. O 2

A: Given that in a geometric sequence  a2  = 44 And  a4 = 176  We need to find common ratio . As we…

Q: Which of these is a formula that can be used to determine the nth term of the arithmetic sequence…

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

A: We can answer very first question as per the honor policy. Please resubmit other question one by one…

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: (3) Consider the sequence x + 3,x + 7,4x – 2,.... (a) If the sequence is arithmetic, find x and then…

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Q: The first four terms of a sequence are given. Can these terms be the terms of an arithmetic…

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Q: The recursive definition of a geometric sequence is Jaj = aj | an = an-1r, n22 What is the recursive…

A: Given: The geometric sequence 3,9,27,81, ... To find: The recursive equation of given sequence.

Q: C. Find the general term, an, for the given terms of the sequence. 1 1 1 9. 2'6'12 7. 4, 8, 12,…

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Q: an arithmetic sequence a1, a2, · ., an , if the first term is 5 and the common difference is 2, then…

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Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: The solution is:

Q: 1. 1, 5, 9, 13, ...

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Q: 1 Is the sequence an arithmetic? 4 + 3n Your answer is (input yes or no): If your answer is yes, its…

A: Given : an=14+3n

Q: (3) Consider the sequence x + 3, x + 7,4x - 2,.. . (a) If the sequence is arithmetic, find x and…

A: We use the definition of Arithmetic sequence and Geometric sequence to find the answer of the given…

Q: 6,15,37.5,.. O arithmetic O geometric Oneither

A: Let's find.

Q: Given the following sequence is a geometric sequence. List the missing terms and find the explicit…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: (3) Consider the sequence x + 3, x + 7,4x - 2,............ (a) If the sequence is arithmetic, find x…

A: According to the question,  we have the sequence: x+3, x+7, 4x-2,...   Assuming the sequence is…

Q: 2. In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an: Then write the first…

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Q: In an arithmetic sequence a1, a2,, an , if the first term is 6 and the common difference is 4, then…

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Q: A sequence {a.} is said to have property I provided a,< an+1, for all natural numbers n, and it is…

A: Topic  =Sequence

Q: a) Consider the sequence: 6, 17, 28, 39 Find the missing term above. Is this sequence arithmetic,…

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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: A sequence can be generated by using a, - 43.-y where a, - 6 and n is a whole number greater than 1.…

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Q: The 8th term of the geometric 1 1 4 sequence 2 3'9' 27

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given the recursive formula for an arithmetic sequence find the first five terms. A (1) = -34, A (n)…

A: we have given the recursion formula for a arithmetic sequence.  We have to find the first five terms…

Q: 12. Given the sequence {7, 11, 15, 19, .... } Is 131 a term of the sequence? If so, which term is…

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Q: Given the recursive formula for an arithmetic sequence find the first five terms. A (1) = -34, A (n)…

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Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

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Q: 13. Which of these is an infinite arithmetic sequence? O {724, -362, 181, -90.5} {691, 632, 573,…

A: Answer is given in next step.

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

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Q: 4 Which of the following in NOT an arthmetic sequence? A. 3.6, 9, 12 B 3.1. 10.1, 17 1, 24 1 5. The…

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Q: 3. An arithmetic sequence is given by k,,, 0. 0,.... (a) Find the sixth term. (b) If the 20th term…

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Q: 4. If a sequence is defined by c, =15 and c, =c+4 then what is the value of the 20th term of this…

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Q: Given the explicit formula for an arithmetic sequence find the first five terms and the 52nd term:…

A: Given, an = -10n - 26 for 1st term n = 1 ,  a1 = -10 *1  - 26 = -36 for 2nd term n = 2 ,  a2 = -10…

Q: 1. Find the 15th term: Hint: Is the sequence arithmetic or geometric? -4,3,10,17, ..

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Q: 38 This sequence is non-linear 1, 2, 4, 8, 16, .. true O false

A: We will find the sequence is non linear in the following step

Q: 1. A sequence is defined by the recursive rule c, =c, 2" with c, =5. Which of the following…

A: Given a sequence:    cn=cn-1.2n-1          and c1=5

Q: The first four terms of a sequence are given. Can these terms be the terms of an arithmetic…

A: Here for each consecutive term of the sequence, a constant is added to get the next term. Therefore…

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: 9. If the first three terms of a arithmetic sequence are 1 + k, 2k + 1, and 7, what is the sum of…

A: Given that: First three terms of an arithmetic sequence are:   1+k, 2k+1, and 7

Q: . b. determine if the sequence is linear, quadratic, or neither. Also write a sentence to justify my…

A: Here we have to determine  if the sequence is linear, quadratic, or neither.  The given sequence is;…

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.