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

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

Q: 1. For sequence A, describe a way to produce each new term from the previous 2. For sequence B,…

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Q: A sequence is defined recursively by an +1 = 3a, - n, a1 = 2. Find the first six terms of the…

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Q: For the sequence an=an−1+an−2an=an−1+an−2 and a1=3,a2=4a1=3,a2=4, its first term is its second…

A: an = an-1 + an-2,     a1=3,  a2=4 We will use this equation repeatedly with different values of n

Q: 5. Consider the sequence defined by the recursive formula AN = 2 AN-1-3 AN-2 and starting with A₁ =…

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Q: For the sequence an = 5 – 6 · (n- 1), its first term is its second term is its third term is its…

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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: 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-2 and a1 = 2, a2 = 3, its first term is 2 its second term is 3 its…

A: Recurrence sequence

Q: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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Q: For the sequence an = an-1+ an-2 and a1 = 3, a2 = 4, its first term is its second term is its third…

A: The sequence an=an-1+an-2 and a1=3, a2=4

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

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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: 10 For the sequence an n+1 its first term is its second term is its third term is

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

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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: (– 1)"14 | For the sequence an = n2 its first term is its second term is its third term is its…

A: an=(-1)n14n2its first term is (a1)=(-1)11412=-14its second term is (a2)=(-1)21422=144its third term…

Q: Consider the sequence a, = 3 – 2n. The first term is Preview The 2nd term is Preview The 3rd term is…

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Q: For the sequence an = an– 1+ an–2 and a1 = 5, a2 = - 5, а2 = 6, its first term is its second term is…

A: Given an=an-1+an-2 a1=5,a2=6

Q: find the indicated term of the sequence. an=(6n/3n2-5)   a19=

A: Given,an = 6n3n2-5a19 = ?for finding a19 substitute n = 19 and find the value

Q: For the sequence an = an-1 + an-2 and a1 = 2, a2 = 3, %3D ts first term is ts second term is ts…

A: Give: an=an-1+an-2  ;   a1=2, a2=3 Since, an is called the nth term  Therefore, First term = a1 = 2…

Q: For the sequence an 2(an-1-2) and a1 = 2, its first term is its second term is its third term is its…

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Q: Which recursive sequence would produce the sequence 7, 33, 137, ...? a1 Ο αι Ο αι = a1 :7 and an = 7…

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Q: Find the first 10 terms of the sequence an Its 9th term is Its 10th term is 1 an-1 and a₁ = 18.

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Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…

A: a = 10 ,   a10 = 2   Using an = a + n - 1da a10 = a +  n - 1 d         2  = 10 + 9 d2 - 10  = 9d…

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

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Q: oblem 8. aj = a2 = a3 = 1 and an = an-1 + 2an-2 – an-3, for all n 2 4. Find the first siz terms of…

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

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Q: for the sequence a_n=a_{n-8}+a_{n-2} and a_1=1,  a_2=2 Its First term is: Its Second term is: Its…

A: an=an-1+an-2 , a1=1 , a2=2

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: Find the 5th term of the sequence with formula an+2=2an+1 + an where a1=1 AND A2=1

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Q: For the sequence an = an –1 + an – 2 and a1 = 3, a2 = 4, - its first term is its second term is its…

A: Given sequence is an=an-1+an-2 and a1=3 , a2=4

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

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

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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: For the sequence an = an-1+ an-2 and ai = 1, a2 = 2, %3D %3D its first term is its second term is…

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

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Q: For the sequence an = 3 – 6 · (n – 1), its first term is Preview its second term is Preview its…

A: Given:- an = 3-6(n-1) To find:- first term , second term ,third  term ,fourth term ,fifth term and…

Q: a sequence has an nth-term formula of an =4n2 - n - 2 use the nth-term formula to determine the…

A: The sequence is a pattern following order or rule; a finite sequence consists of n terms a1, a2,...…

Q: Find the sum of the first 50 terms of the arithmetic sequence. an -5n – 6 ||

A: The arithmetic sequence is given by an = -5n-6 To evaluate: The sum of the first 50 terms of the…

Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

Q: Use the recursive formula to find the first 5 terms of the sequence ak+1 = ak-1+ ak a1 = 2, a2 = 3

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Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: 2. Find the indicated term of a sequence. 4n %3D 2n -3

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Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

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: 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: 9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic…

A: As per the instruction, we will be answering only the first question. We need to find all the value…

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.