Suppose that a sequence is defined as follows. a1=-5, a,-4a, +10 for n>2 List the first four terms of the sequence.

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

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

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Q: Write a recursive formula for each sequence. 4, 12, 36, 108, --- 9,4,-1,-6, .. ロロ ロ+■ ローロ ロ-ロ |for n…

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Q: For the sequence an=2(an-1-2) and a1=3, its first term is___ second____ third____ fourth____…

A: Given that: an=2(an-1-2)  and a1=3

Q: Suppose that a sequence is defined as follows. a = 3, a, = -4a,-1+6 for nz 2 List the first four…

A: If given nth term of the sequence and also given first term of the sequence  then we can find…

Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =

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Q: Find the first six terms of the following sequence. an = -2 – 7(-1)", for n > 1. %3D

A: To solve this problem we need to have an understanding about the powers of -1.

Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: Find a and az for the geometric sequence 6, a2, аз, —162,

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Q: Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

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Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

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Q: Suppose that a sequence is defined as follows. a=2, a,=-3a,-1 for n22 List the first four terms of…

A: Given :              a1 = 2              an = -3 an-1 + 5 To find :                    The first…

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Suppose that tn is an arithmetic sequence. Find the values of a and d if we know that t10 38 and t15…

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Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

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Q: The nth term of a sequence, represented by an, is called the______ term.

A: Given, The nth term of a sequence, represented by an

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

A: The objective of the question is determine the four terms of the given sequence.

Q: Find the third ,fourth and fifthterms of the sequence defined by a1=2,a2=3 and an=(-1)nan-1+an-2

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Q: the sequence {12, 4, −4, −12, −20, } assuming that the pattern

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Q: Suppose that a sequence is defined as follows. a1 =-4, a,= 3a,-1+7 for n22 %3D List the first four…

A: A sequence is defined as follows:- a1=-4, an=3an-1+7 for n≥2 Then for n=2: a2=3a1+7…

Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

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Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: The first three terms of an arithmetic sequence are as follows. 15, 23, 31 Find the next two terms…

A: Arithmetic Progression is sequence of numbers where any two consecutive number has same difference.…

Q: For the sequence defined by: a1 =3 4 an+1= an 3D3 +1 Find: a2 = a3 =

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 3n + 4

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Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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

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Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a,-1 + 10 for n>2 %3D un List the first…

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

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Q: Find the infinite sum of the geometric sequence with a =2 r=2/6 if it exist

A: The geometric sequence with a =2, common ratio r=2/6

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: 2, 10, 50, 250, .

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Q: Determine the value for x which makes the following sequence arithmetic. 2x-1, x+12, 3x-2

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: Find the third, fourth and fifth terms of the sequence defined by  a1=3, a2=5 and an=2an-1-an-2 for…

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 2, ½,…

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Q: If 4x,x+2 and x-5 form in arithmetic sequence,what is the value of x?

A: Given         4x  , x+2 and x-5 from in arithmetic sequence.      Since   4x  , x+2 and x-5 are in…

Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: Write the first five terms of the sequence defined by the explicit formu 2(n-1)! n(n + 5) an

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Q: Find as of the geometric sequence if a1 = 3 and r=7.

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Q: Write the terms of the given arithmetic sequence and then graph the sequence. 8. f(n) =7 – 7--n for…

A: Given arithmetic sequence are 8.    f(n)=7-12n   for  n≥0 9.    f(n)=3+2(n-1) for 1≤n≤5

Q: Find the specified term of the arithmetic sequence that has the two given terms.a11; a1 = 2 + √2,…

A: a1=2+2a2=3

Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: For the geometric sequence (6, 18, 54, 162, , the term a13 : 312 O 3.35 O 6-314 O 3.37 6- 312

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Q: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

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