Find the next three terms of a sequence. (Our topic is Fibonacci sequence, please provide solution thank you) -5x+y, 4x-3y, -x-2y, 3x-5y,...

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Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 7, -28, 112,

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Q: Consider the sequence x + 3, x + 7, 4x − 2, . . . . . . . . . . . . . If the sequence is geometric,…

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Q: Find the missing term or terms in each arithmetic sequence. 31, -169, ... Blank 1 Missing term is…

A: If the difference between two consecutive terms is constant then this progression is called as…

Q: Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas…

A: The given sequence 3,6,9,12,15,…. We have to find n if an=735.

Q: The first three terms of a geometric sequence are as follows. 2,-10, 50  Find the next two terms…

A: The first three terms of a geometric sequence are as follows. 2,-10, 50  To find the next two terms…

Q: The given pattern continues. Write down the nth term of the sequence suggested by the pattern. - 4,…

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Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

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Q: The product of the third and the sixth terms of an arithmetic sequence is 406. The ninth term of the…

A: Given that sequence is arithmetic sequence…

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 term of a geometric sequence of positive terms is 5 and the fifth term is 1280. (i) Find…

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Q: Find the next 3 terms of each sequence. (Our topic is Fibonacci sequence please provide solution) 3,…

A: Given 3, 7, 17, 41,...

Q: In the following sequences, identify if its arithmetic, geometric, or neither of the two. Then, find…

A: the given sequence is neither arithmetic nor geometric  Because it do not have same common…

Q: need to find nth term, question is: Find a formula for the nth term of the sequence -1, 8, -27,…

A: Given query is to find nth term

Q: Consider the sequence x + 3,x + 7,4x − 2,............. If the sequence is geometric, find x and…

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Q: Given the sequence 23,19, 15,…… Determine the 15th term Determine which term equal -53

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Q: The 7th term of an arithmetic sequence is −44, and the common difference is −2. Find the first term.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

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: Is the sequence an = 5 + 8n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: We have to determine whether  the sequence  are arithmetic  or not . And also to find the first term…

Q: Find the first 5 terms of the sequence

A: In this question we have to find the first five terms of the given sequence which we can find out by…

Q: The type of the sequence -10, -13, -16, -19, …. Is?   1.  None of the answers   2.  HP   3.…

A: Given sequence 10, -13, -16, -19, ….

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

A: For the given sequence   x + 3,x + 7,4x − 2,.............

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…

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A: To define given example the s of inductive reasoning

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

A: To determine whether the given terms can be the terms of a geometric sequence.

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: solution: step 1: sequence -nth term2,-4,8,-16,···it is a geometric sequence because when we…

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

A: Assume that the sequence x+3, x+7, 4x-2, ⋯ is an arithmetic sequence. Since the consecutive terms of…

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: The given sequence is a, a+4, a+8

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

A: We can make it easier for you

Q: Telephone Numbers   In the past, a local telephone number in a country consisted of a sequence of…

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Q: hat is the formula for the arithmetic sequence if the sum of the same sequence is given by Sn=2n+3n^

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Q: True or false: If the sequence a, b, c  is arithmetic, then the sequence  2a,2b,2c  is geometric.…

A: If the sequence a, b, c is arithmetic, then the sequence  2a, 2b, 2c  is geometric.

Q: The first three terms of a geometric sequence are lnx16, lnx 8, lnx 4, for x > 0. Find the common…

A: Here given three terms in geometrical sequence. We have to calculate common ratio.

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

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Q: In a sequence of numbers, a3= 0, a4 = 6, a5= 12, a6 = 18, and a7= 24. Based on this information,…

A: Given the terms of sequence  a3=0a4=6a5=12a6=18a7=24 First from given data common difference of this…

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

A: If common ratio same then series in geometric otherwise not

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: Help is needed to find an explicit formula for the sequence, an below. It starts with a1 = 3.…

A: Given :  3, −1, 1/3, −1/9, 1/27,…

Q: 5. Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number.…

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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: True or false? In the sequence: 10, 7, 4, ...., the initial term is 10 and the  tenth term is -20.…

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Q: Determine whether the sequence is a Fibonacci-type sequence (each term is the sum of the two…

A: To find whether given sequence are fibonacci type or not.

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

A: A geometric sequence satisfies the following condition: ac = b2

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

A: We know that, For arithmetic series, d=a2-a1=a3-a2  For geometric series, r=a2/a1 = a3/a2  So from…

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: Determine whether the sequence is a​ Fibonacci-type sequence​ (each term is the sum of the two…

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Q: In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the…

A: In two or more complete sentences, we have to explain whether the sequence is finite or infinite.…