Consider the sequence 1, -2, 4, -8, 16, . . . . Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you observe?

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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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: Choose the sequence that is written in increasing order. Select one: -3 -18 9 23 -1 8-3 23 2 -3 8 2…

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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 we have the sequence 1, 4, 7, 10, ...

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Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

Q: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: Consider the sequence: 2, 4, 8, 16, 32 ... Determine the 20th term of the sequence. O A 2,304,127 O…

A: A geometric sequence is one in which any term divided by the previous term is a constant. This…

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: Find the next term in the sequence  1/2 , 2/3 , 1 , 8/5 , 8/3 , _____

A: To determine the pattern in the sequence to find the next term

Q: For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the erplicit formula for the sequence 25, 5, 1, ,.

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Q: Find a formula for the general term, an, of the sequence 8 4, 3 12 16 20 - - 9'27' 81

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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: 2. Find the nth term of the sequences below: a. 3,-5, 7,-9, 11,...

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Q: use a difference table to predict the next term of each sequence. a. 5, 6, 3, -4, -15, -30, -49, ?…

A: (a) To find: The next term of each sequence by the use of difference table. Given information: The…

Q: Consider the sequence: 17, 14, 11, 8, ..., find the 26th term of the sequence.

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Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

Q: b) (x-y),X, (x+y)

A: The given sequence is (x-y),x,(x+y)......................

Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

Q: Find the first term, a1, and the common difference, d, of the sequence. 13, 10, 7, 4, 1, ...

A: The given sequence is 13, 10, 7, 4, 1,.... So the first term is=a1= 13

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: Consider the sequence 8, 3, -2, -7, -12, . . . . Find a2 - a1,a3 - a2, a4 - a3, and a5 - a4. What do…

A: Given, Consider the sequence 8,3,-2,-7,-12,.....

Q: Which sequence could be described by the recursive definition: An+1 = 3 · a,n – 1? – 1? - {2, 5, 14,…

A: Given an+1=3·an-1 we have to find a sequence which could be describes as recursive

Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

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Q: Consider a sequence of a numbers. 5, 6, 15, 50, 207,1040, 6275, 43938  What is the pattern and…

A: The objective is to state the pattern and the number that is not a part of the sequence 5, 6, 15,…

Q: Find the 11th term of the sequence 3, -6, 12, -24,. ...

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Q: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

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Q: Find the general of the sequence 8,8.5,9.0,9.5,...

A: Let general term of sequence an.

Q: The sequence is geometric: 3, 13, 23, 33,.. O True False

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Q: Consider the sequence 10, 11,13, 16, 20, 25, 31, 38, ...

A: In this question, we have given a sequence  10,11,13,16,20,25,31,38..... To find the recurrence…

Q: Given the sequence 1,2,3,4,5,... and the sequence 3,4,5,6,7,... whats the product of the two linear…

A: It is given that, the  sequence 1,2,3,4,5,...and the sequence 3,4,5,6,7,...    We have to find the…

Q: Consider the sequence: 2, 4, 8, 16, 32, ...Determine the 13th term of the sequence.

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Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O…

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

Q: Is this sequence geometric? 2,4,12,48

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Q: In the arithmetic sequence 7,23/3,25/3,…, which term is 51?

A: The given arithmetic sequence is 7, 233,253 where  first term a = 7              common difference d…

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: Which sequence could described by the explicit definition: t, = 2· n - 3? {5, 7, 11, 19, 35, ...} O…

A: Given, tn=2·n-3we have to tell which sequence could described by the explicit definition:

Q: In the sequence {1,5,9,13,17,} which term is a3?

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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: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

Q: Use a difference table to predict the next term and formula in the sequence  1, 2, 6, 7, 21, 22,…

A: It is an important part of statistics as well as mathematics.  It forms a firm background for…

Q: 4. What are the first five terms of the sequence for a1=-2 and an=2an-1+5?

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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.