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

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: What is the 23rd term in the sequence: 2, 9, 16, 23, ...? A 198 B -152 156 110

A: The given sequence 2,9,16,23,........

Q: In an arithmetic sequence ( 190, 162, 134, - ***.*), the common difference is O-28 O 106 28 30 -31 0…

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Q: Dominique bought a block of basketball tickets numbered consecutively from 47 to 117. an = ?   How…

A: Definition used -         the nth term of an arithmetic sequence -…

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: in the sequence 1,4,8,10,15,26,95,17,80 which of the following would be the correct way to refer to…

A: As we can see  26 is 6th term in the given sequence

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

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

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Q: Write an explicit formula for the sequence: - 20.5, -34.25, 48, -61.75 11

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Q: How are each terms related to one another in the sequence 2 , 90 , 4 , 87 , 6 , 12 , 8 , 51 , 10 ?

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Q: List the first five terms of the sequence: An a1 = 4, аn+1 An + 1 aj = , a2 = Az = a4 and a5 =

A:

Q: How many terms are in the geometric sequence   15,  30, …, 15360 ?

A: Given  geometric sequence 15,30, ---------,15360 Where a1= first term =15               R = common…

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: ^A sequence can be generated by using a, = a,-n+ 29, where aj = 46 and n is a whole number greater…

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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: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: As which term does appear in the sequence 81, 27, 9...? 27 a. 5th b. 11th 8th с. d. 15th е. 12th

A: This question we are given we are given with a series and we have to find that a term which will…

Q: How many terms are in the arithmetic sequence 7,1, –5, . , –161? .... Hint: an = a1 + d(n – 1) where…

A: The given arithmetic sequence is,7,1,-5,....,-161

Q: Give a next step and a justification for a proof sequence that begins1. (A Λ B′) → C hyp2. C′ hyp

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Q: What is the next three terms of the given sequence 25,12,-1,-14,-27,_,_

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Q: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: What is the 10th term of the sequence 3, 9, 27, 81, ...?

A: Here the terms are with common ratio r =3 and they are in geometric progression. You can observe by…

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

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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: In an arithmetic sequence { 298, 281, 264, · . .... }, the common difference is. O -20 O 17 O 19 O…

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Q: Write an explicit formula for the sequence 7, 2, -3, -8, –13, ... Then find . = -5n + 12; -58 14 -5n…

A: To find the explicit formula of a sequence and a14

Q: Find a formula for the nth term in this arithmetic sequence: a1 = 8, a2 = 4, az = 0, a4 = -4, .. %3D…

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Q: List the first five terms of the sequence. 3(-3)" n! an a1 = 9. %3D a2 = 27/2 az = -27/2 a4 = 81/8…

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Q: List the first five terms of the sequence. a1 = 4, an+1 = 5an – 6 6. %3D %3D %3D %3D a3 a4 = a5 =

A: Given    an+1=5an-6                a1=4

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: Write the first five terms of the sequence. an - (-) 3 \n 4 a1 = |-3/4 az = 9/16 a3 = |-27/64 a4 =…

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Q: As which term does appear in the sequence 81, 27,9...? a. 5th b. 11th 8th с. d. 15th е. 12th

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Q: find the nth term of-the arthmetic sequencec with comenondifferen ce dewhnal is the loth term…

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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: In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the…

A: According to question given :-Series 3a, 3a2b, 3a3b2, 3a4b3...We have to find sixth term and  the…

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: 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: 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: 1 Give the first five terms of the sequence: 2 4 5: a, = ,-2 · an-1 (for n 2 3) %3D 5' 42 =

A: Given sequence is: a1=25, a2=45; an=an-2.an-1       (for n≥3)

Q: 9. Write the explicit formula and find as for the sequence: -38,-45,-52,-59,

A: Given: sequence -38,-45,-52,-59,...... given sequence is arithmetic progression whose first…

Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: You are asked find 6th ,and 7th  term in the sequence 1,3,6,10,15 ______________ What would it be?…

A: To find the 6th and 7th term in the sequence 1,3,6,10,15... and to explain it.

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: What are the terms ao, aj, a2, and az of the sequence {an}, where an equals b) (n + 1)"+l? d) [n/2]…

A: a. an=2n+1. The terms become a0=20+1=1; a1=21+1=3; a2=22+1=5; a3=23+1=9 Therefore, the terms of the…

Q: List the first five terms of the sequence. (-1)" – 1 an = 30 a1 %3D %3D %3D a4 = as %3D

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Q: Use the sequence and inductive reasoning to make a conjecture.

A: We are asked to find color of thirteen figure.

Q: Use the formula an = 4 + (n - 1)(-7) to find the eighth term of the sequence 4, -3, -10, . . . .

A: We have to find eighth term of the sequence: 4, -3, -10, ..... Since above sequence is in arithmetic…

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.