(3) 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: What are the first five terms of the sequence defined by the recursive formula a1 = 2 an = 2an-1 +…

A: Given, a1 = 2 an = 2an-1 + 1        for          n ≥ 2

Q: Suppose that a sequence is defined as follows a1 = -2,   an = -3an-1 +7 for n> 2 list the first 4…

A:

Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

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

A:

Q: Find the first 10 terms of the sequence a,n = 2n + 3. its 9th term is its 10th term is

A:

Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

A:

Q: A. Write the first five terms of the sequence with the fırst term 2 and a common difference of 3. B.…

A: Given A). a1=2  and d=3 b). a1=3 and common ratio (r)=-4

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

A: As per our policy I can solve only one Question. Kindly please repost the Q4

Q: For a particular arithmetic sequence, find the sum of the first 25 terms. The 6th term = 121 and the…

A: An arithmetic sequence is a sequence in which each succeeding term is obtained by adding a fixed…

Q: For the sequence an = An –1+ an and a1 = 2, a2 = 3, - 2 its first term is its second term is its…

A:

Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: For the sequence an = 13 + ( – 1)", its first term is its second term is its third term is its…

A:

Q: An arithmetic sequence whose first term is 2 has the property that its second, third, and seventh…

A: Given The arithmetic sequence whose first term is 2 has the property that its second, third, and…

Q: Find the 7th term of the geometric sequence where a1 = -2 and r = -2.     -128     4096…

A:

Q: The first five terms of the sequence an = 5(-1/10)n-1

A: We need to find the first five terms of the sequence an = 5(-1/10)^(n-1)

Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: and

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

A:

Q: for the sequence a^n = 2(a^n -1 -2) and a1 = 4 its first term is _______ its second term is…

A: given sequence an = 2(an -1 -2) and a1 = 4 is a recursive relation.

Q: Q1/ A geometric sequence whose terms are positive and the sum of the first and second terms is 36,…

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Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 4…

A: Given recursion formula, an=2an-1+3 for n≥2 a1=4

Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: Use a graphing utility to graph the first 10 terms of the sequence. an = -5 + 2n

A: Given: an = -5 +2n To graph: The 10 terms of the given sequence.

Q: For the sequence an = 10 +(– 1)", its first term is its second term is its third term is its fourth…

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

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Q: An auditorium has 50 seats in the first​ row, 56 seats in the second​ row, 62 seats in the third​…

A:

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 4…

A: The first term is a1 = 4  and an = 2an-1 + 3 for n ≥ 2

Q: A sequence in which each term after the first differs from the preceding term by a constant amount…

A: A sequence in which each term after the first differs from the preceding term by a constant amount…

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: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: Call a three-term strictly increasing arithmetic sequence of integers special if the sum of the…

A: Assume the first terms and the common difference. Let first term be a-d and common difference be…

Q: for the sequence a^n = a^n-1 + a^n-2 and a^1 = 3, a^2 = 4, its first term is _________ its second…

A: Note: It is assumed that the sequence is an=an-1 +an-2 and a1=3 , a2=4 .   The nth term of a…

Q: (a) Find a simple recursive definition of the sequence with general term t, = 2(n 1) +7 for n > 2.…

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Q: 1. Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first…

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Q: 8 For the sequence an = n+1' its first term is its second term is its third term is its fourth term…

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1.........

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Find the sum of the first five terms of the sequence with the given general term. an = 4n

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.x - 8, x - 3, x +…

A: Known fact: The nth term of arithmetic sequence is given by an=a+n-1d where a is first term and d is…

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

Q: 19 For the sequence an n+1' its first term is its second term is its third term is its fourth term…

A: Solve the sequence

Q: For the sequence an = an -1+ an-2 4, az = 5, its first term is its second term is its third term is…

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Q: For the sequence a, = 1+(- 1)", its first term is its second term is its third term is its fourth…

A: an = 1 +(-1)n Generally sequence starts from n = 0.First term n = 0a0 = 1 + 1 = 2Second term n =…

Q: Find the first 10 terms of the sequence a, = 3n + 3. its 9th term is its 10th term is

A: Given : an = 3n + 3

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 3…

A: a1=3 , an=4 an-1

Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: Consider the sequence x +3, x +7 ,4x -2, ……………….. 1. If the sequence is arithmetic, find x and then…

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Q: For the sequence an = an-1+ an–2 and a1 = 2, a2 = 3, its first term is its second term is its third…

A: We have to find first ,second, third, fourth and fifth for the given sequence: an=an-1+an-2 and…

Q: Find all possible values of x that make the sequence x-1,2x,5x+3 a geometric sequence

A: To find values of x for which given sequence will be a geometric sequence x-1,  2x,  5x+3

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.