Consider the sequence x + 3,x + 7,4x − 2,............. (a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term.   (b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term.

Q: Part A: Mrs. Bitter writes the two following sequences on the board, then asks you to explain to…

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Q: The sum of n terms of two arithmetic progressions are in the ratio 5n +4 : 9n + 6. Find the ratio of…

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Q: Two positive numbers x and y are in the sequence 4, x, y, 12. The first three numbers form an…

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Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

Q: Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is…

A: it is not permissible by the company to provide personal detail....so sorry for that Given an is…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: 1. Write down the first five terms of the sequence given by: an = (-1)^n+1 / n 2. Find the common…

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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: Find an a and y such that 3, x, y, 42, ... becomes an arithmetic sequence. (Hint: and y should be…

A: We need to find x and y such that 3,x,y,42 are in Arithmetic sequence and x and y such that…

Q: Which recursive sequence would produce the sequence 6, –15, 48, ..? O a1 = 6 and an= - 3a, 1 + 3 %3D…

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Q: ANSWER THE FOLLOWING WHAT KIND OF SEQUENCE 1. The sequence 2.5, 5, 7.5, 10, .... is _____ 2. The…

A: Given: 1. The sequence 2.5, 5, 7.5, 10, … is _____ 2. The sequence 1, 3, 7, 15, … is _____

Q: Find the common difference in the sequence 7/3, 3, 11/3, 13/3, ...

A: Since you have posted multiple questions and we can answer one question. So, answered question…

Q: All work must be shown. Missing steps can result in a loss of credit. 1) The third term of an…

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Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: Write the first four terms of the sequence whose general term is given below. an = n (n-1)! a₁ =…

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Q: An arithmetic sequence has first term a and common difference d. It is given that the sum of the…

A: Given Information - The first term of the AP = a Common difference = d Sum of the first four terms…

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: An arithmetic sequence has uj = 40, u2 = 32, u3 324. |(a) Find the common difference, d. (b) Find…

A: Given that  An arithmetic sequence has u1=40,u2=32 and u3=24.

Q: Find the first five terms of the sequence defined by the following recursive definition. a, = 13 an…

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Q: The sequence n0.1 converges if

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Q: . What is the 16th term of the sequence -11,-8,-5,-2,…..? 2. What is the 9th term of the sequence…

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Q: The odd numbers are the numbers in the sequence 1, 3, 5, 7, 9, . ... Define the sequence of S-…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence a₁, a2, a3, a4, ....…

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Q: Write the first five terms of the sequence defined by the recursive formula: an= -3an-1 +5 If an =…

A: given an=-3an-1+5if an=2

Q: What is the next 2 terms for the sequence -1, 2,-4,8,-16. . ..

A: Here we have to find the next two terms of the given sequence.

Q: a) Determine an algebraic expression for the nth term of the sequence 7, 10, 13, 16, .... b)…

A: Given data:- Part (a); The given sequence is, 7, 10, 13. 16, ...... Part (b); The given sequence is,…

Q: Write the recursive formula for each sequence. 8) 1, 6, 36, 216, 1296, .. 9) 22, 52, 82, 112, 142,…

A: The given sequence 8) 1,6,36,216,1296,.....9) 22,52,82,112,142,.....

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.