Use inductive reasoning to predict the next three terms in the sequence :13, 31, 15, 51, 17, 71, 19, 91

Q: Use inductive reasoning to guess the next two numbers in the sequence:1, 2, 6, 15, 31, 56, . . .

A: Given sequence, 1, 2, 6, 15, 31, 56, ...

Q: Use inductive reasoning to determine the next two terms in the sequence: A , 6 , D , 16 , H , 46 ,…

A: The inductive reasoning is a type of reasoning in which we draw conclusion from the given data.…

Q: Use inductive reasoning to predict the next term of each sequence. Explain or illustrate the pattern…

A: (b) The given sequence is 2,0,-18,-64,-150,-288,-490,?. Obtain the first difference as shown below.…

Q: Use inductive reasoning to predict the next two numbers in each sequence.

A: Given: S1=15,30,45,60......, S2=100,-10,1,-110 We know that given first sequence is a arithmetic…

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

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Q: What is the 15th term of the sequence -8, -11, -14, -17, ...? A) -44 B) -53 C) -47 D) -50

A: Given sequence is

Q: given the sequence write the recursive and explicit rule  -20, -16, -12, -8, -4

A: Find the relation between the terms with their preceding terms and determine the recursive rule for…

Q: Use inductive reasoning to predict the next term of each sequence. Explain or illustrate the pattern…

A: (a) Consider the sequence of numbers 5, 6, 3, -4, -15, -30, -49, ?. Let the required unknown term be…

Q: Write down the first five terms of the sequence: (n + 4)! an 2" a2 = az = a4 = a5 =

A: Terms of squence

Q: . Use difference table to determine the next three terms of the sequence 3, 1, 0, 2, 13, 46, ..

A: Make a table as follows  original terms  First difference Second difference Third difference…

Q: 5. Use inductive reasoning to predict the next pattern, as, of the sequence a3 a4 a2

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Q: Use differences to find a pattern in the sequence.   0 , 14, 76, 236, 568, 1170, 2164

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Q: State the pattern of the sequence by using explicit formula. 1. 3,4,8,13,22,36

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Q: In the geometric sequence -4, 8, -16,.., what is the sum of the first 6 terms? 84 O 252 O -168 O…

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Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

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: Use inductive reasoning to predict the next term in the sequence: 3, 4, 7, 11, 18, 29

A: Given sequence is 3, 4, 7, 11, 18, 29 We can observe that each term after the 2nd term in the…

Q: Describe the pattern, write the next term, and write a rule for the n th term of the sequence.…

A: Clearly next term is 5 more than the previous term.  So The pattern is A.P. and the next term = 16 +…

Q: Find the next two terms in the sequence below. -1/2, -5/6, -7/6, _? ,  ?

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Q: Mimi is building a decorative fence around her garden. The first fence board will be 2 feet tall,…

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Q: Which type of reasoning is applicable in looking for succeeding term in given sequence? A.…

A: We have to choose Which type of reasoning is applicable inlooking for succeeding term in given…

Q: Use inductive reasoning to find the next two terms of each sequence. 1/2, 9, 2/3, 10, 3/4,11, ____,…

A: Use inductive reasoning to find the next two terms of each sequence. 1/2, 9, 2/3, 10, 3/4,11, ____,…

Q: List the first five terms of the sequence: n + 2 an Зп — 1 ai = a2 a3 a4 and a5 =

A: We need to find first five terms of sequence.

Q: For Exercise, find the number of terms of the finite arithmetic sequence.  7,16,25,34,,.........,574

A: 7,16,25,34,,.........,574First term = a_1=7Let there are n terms in the sequence.a_n=574d= common…

Q: use a difference table to predict the next term in the sequence -1,0,9,32,75,144,245..

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Q: Use a difference table to predict the next term in the sequence - 4, - 1, 14, 47, 104, 191, 314,

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Q: For Exercise, write the first five terms of the sequence. an=(n+1)!/n!

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Q: n of the sequence -3, 2, 7, 12, ...?

A: S=-3,2,7,12....TnAbove sequence is an Arithmetic Progression a1=-3d=a2-a1=2-(-3)=5

Q: Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number…

A: Introduction: The given number sequence is: 2, 4, 8, 14, 22, 32, 44, 58.

Q: Find a 17 in the sequence 5, -10, 20, -40 ...

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Q: Use inductive reasoning to predict the most probable next number in the given sequence: 13, -21, 34,…

A: Given query is to find the next number is the sequence.

Q: In the arithmetic sequence 7,233,253,…, which term is 51?

A: The given arithmetic sequence is 7, 233, 253 ............................ Where  first term a = 7…

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17,…

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Q: a =9, a2 = 17, a20 = ? %3D

A: The solution is given below:

Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

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Q: List the first five terms of the sequence. а1 3 6, ап+1 %3D 5а, — 2 a1 = a2 %3D az = a4 as = II

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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: Find the 27th term in the sequence 3, 7, 11, 15.. 107 81 a. b. c. d. е. с. 89 152 201

A: The arithmetic progression is the series which have a common difference between the consecutive…

Q: In an arithmetic sequence the2ndterm is 5 and the3rdterm is 11. What is the20thterm?

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Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

Q: Determine the common ratio and then find the recursive rule for the given sequence: -1, 6, -36, 216,…

A: The given problem is to find the common ratio for the given recursive relation of sequence , we can…

Q: List the first five terms of the sequence. 3(-3)" an n! a2 = a3 = аз a4 a5 =

A: We have to find the first five terms of the sequence

Q: Mathematics in the modern worlds Use the difference table to predict the next term in the sequence.…

A: Solution According to guidelines we solve only first Question

Q: + Write an argument to show the sequence is strictly monotone. n n=1

A: Given a sequence n+1nn=1∞ an=n+1nan+1=n+2n+1

Q: Use inductive reasoning to find the next two terms of each sequence.   6. 1/2, 1/4, 1/8, 1/16…

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Q: Which two numbers should come next in the sequence 18, 23, 28, 33, ..? Select the correct response:…

A: Find your answer below

Q: Look at the pattern. Find the next number in the sequence using inductive reasoning 6,11,16,21,26,…

A: the given pattern is   6,11,16,21,26,… first, find the common difference between the two terms and…

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: What is the 7th term in this sequence: 3, 18, 33, 48,.. 93 53 O 15 63

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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.