Consider the sequence 8, 3, -2, -7, -12, . . . . Find a2 - a1,a3 - a2, a4 - a3, and a5 - a4. What do you observe?

Q: Find the general term of the arithmetic sequence$$ 6, 2,-2,-6,... .$$ O $$an= -4n+10$$ $San=2n2-3$$…

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Q: Construct the explicit formula of the sequence -12, 12, -12, 12, -12,...

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Q: What is the next term of the given sequence: 1, -4, 9, -16, 25, -45 -19 O -36 O -25

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Q: ) consider the sequence 2,6,10,14... what is the 42nd term? b) consder the sequence 1200,600,300...…

A: Given :- a) consider the sequence 2,6,10,14... what is the 42nd term?   b) consider the sequence…

Q: find formulla for the sequence"3/6,8/25,15/62,24/123,35/214" -

A: Given sequence

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…

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

A: Given Figure :-

Q: Use differences to find a pattern in the sequence.9,15,16,13,7,-1,-10

A: A sequence can have arithmetic progression, geometric progression or harmonic progression.In case of…

Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

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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: Consider the sequence: 9, 12. 17, 24,33 What is the explicit expression of the sequence? Find the…

A: As it is mentioned to write the quadratic equation for the explicit expression of the sequence,…

Q: Find the formula of the general term an of the sequence: 10,50,250,1250 ..

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Q: 4) Decide if the sequence is arithmetic, geometric, or neither. a) 1, 4, 9, 16, ... b) 10, 3, -4,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

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: 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: 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: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4,…

A: For a sequence to be an arithmetic progression it must follow the common difference procedure as.

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: Which arithmetic sequence has a common difference of 4? O {n, 4n, 16n, 64n, .} O {n+4, n+16, n+64,…

A: The common difference of an Arithmetic sequence is the difference between any two consecutive terms…

Q: Plot the first five terms of the sequence: a 6, an an-1+(- 1)"9 Clear All Draw: Dot

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Q: 3. Write an expression for the general term of the sequence 0, 3, 8, 15, 24, .

A: Sequence given is- 0,3,8,15,24,... We have to find the general term for the sequence given. For…

Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

Q: Consider the sequence: 2, 4, 8, 16, 32, ... Determine the 20th term of the sequence. O A. 1,048,576…

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Q: Find the Next term in the sequence 3,6,,9,15,24

A: We see that after the second term of the sequence it follows a pattern , such that . 9=3+6 15=6+9…

Q: Given the sequence 16, 11, 6, 1, -4 .. Represent the sequence as a table.

A: The given sequence is 16, 11, 6, 1, -4, …. Thus, the first term is 16, second term is 11, third term…

Q: List the first five terms of the sequence. a1 = 3, an+1 = 5an - 5 a1 a2 a3 = a4 = a5 =

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

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Q: The next term in this sequence, -1/6. -2/3, -1 1/6, -5/3, __________ is? (What is the next term in…

A: Here we will find the next term in the given sequence,

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: Is this sequence geometric-10,-8,-5,-1,

A: Given sequence:  -10,  -8,  -5,  -1 To find:  Is this sequence geometric.

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: The general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

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Q: The sequence an= (8^n)/n is

A: an=8n/nthis is ∞∞ form therefore by L- hopital rulelimn→∞8nn=limn→∞8nln81=∞

Q: The nth term of the sequence -2,0-2,0 -2,0, is ... Select one: a. (-1)".2-2 O b. (-1)" +1.2-2 O c.…

A: Consider the sequence-2,0,-2,0,-2,0,............

Q: 7. What is the 12th term of the sequence 10, 6, 2, ...? O-16 O-24

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Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: Find the 12th term of the sequence 8,14,20,26

A: Given sequence is 8, 14, 20, 26. We have to find the 12th term of the given sequence. Here, 14-8=6…

Q: 39. Write out the first five terms of the sequence of an =n - 4 А) -16, -12, -8, -4, 0 В) -3, -2,…

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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: Which term has the value of 133.5 in the sequence (-1.5, 1, 3.5, 6. 8.5, ...)

A: The given sequence is an arithmetic sequence with common difference d = 1-(-1.5)= 2.5 , we want to…

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

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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: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…

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.