Which type of reasoning is applicable in looking for succeeding term in given sequence? A. Deductive Reasoning B. Inductive Reasoning

Q: Write the terms of a sequence defined by a recursive formula Question Given the sequence r, defined…

A: We find r2 by plugging n=2 and r1=2 in the formula for rn

Q: What is a4 in a geometric sequence where a2 2 and az = -V2? O 1 O 2 2 O V2

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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: Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are…

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Q: An arithmetic sequence is given below. 18, 14, 10, 6, Write an explicit formula for the n th term…

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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: Sequence A term value number 1 4 1 1 1 2 4 4 23

A: Topic :- Sequence and series

Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

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 the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

Q: How many terms are in the arithmetic sequence 6, 2, –2, ...,–102? Hint: an = a1 +d(n – 1) where a1…

A: follow next step

Q: whether the sequence is arithmetic.

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Q: Write a definition for the ,th term of sequence B. Sequence B 441 42 40 38 36 34 32 30 26 24 22 20…

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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 =

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Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1 2 3 4 Term…

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

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Q: Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for your…

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Q: 16. Which arithmetic sequence has a common difference of -21? O {873, 894, 915, 936, ..} O {32, 20,…

A: Given:  (1) 873, 894, 915, 936, ...(2) 32, 20, 8, -4, ...(3) 1663; 1587; 1611; 1635; ...(4) 1245;…

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: 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: C. Using the recursive definition =3 (a,)` - ; if a, = 2. Create a sequence for the first five…

A: a1 =2 a2=7 a3=142

Q: An arithmetic sequence is given below. 18, 14, 10, 6, ... Write an explicit formula for the n th…

A: Given: An arithmetic sequence : 18,14,10,6, ... To find: An explicit formula for the nth  term an.

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/4, 1/32, 1/256, 1/2048,…

A: Please refer the attached image for complete solution.

Q: 7. In the arithmetic sequence 1, 5, 9, 13, .., which term is 405? * О 102 O 101 О 100 О 9

A: GIVEN: Arithmetic sequence 1, 5, 9, 13, ........

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: In an examination there are 15 questions of type True or False. How many sequences of answers are…

A: From the given information, There are 15 questions of type True or False. That is, each question has…

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

A: Given the sequence : 13, 31, 15, 51, 17, 71, 19, 91 Find the next three terms of the given sequence.

Q: Use a₁ = 3 and r = -2 to find the term a7 in the sequence starting at a₁ with common ratio r.

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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: 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: B. Analyze the given sequence for its rule and identify the next three terms. 1. А,Е, К, 2.…

A: Step:1 Since you have asked multiple question with multiple parts we will solve the first question…

Q: Which arithmetic sequence has a common difference of -21? O (1,563; 1,587; 1,611; 1,635;...) (32,…

A: Common difference means subtraction of second term and first term

Q: After each bounce, the height of the ball is measured and recorded in the table. Bounce Number…

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Q: Consider the following general term for a sequence 1 an = %3D n+3 What are the first five terms of…

A: Given Data: The general term of the sequence is: an=1n+3 ......1 For the first term, Substitute 1…

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

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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: write the First 5 terms of the Sequence, assume n begins uith I. an= ncn²-3) %3D

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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: For sequence B, describe a way to produce each new term from the previous term. Sequence B 441 42 40…

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Q: Determine if the sequence below is arithmetic or geometric and determine the common difference /…

A: The given sequence is 3,5,7,.....

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: The sequence is equal to the sequence n+1 n = 3 (1 2 3 4 2'3'4'5 True False

A: It is given that the general term of the sequence is nn+1n=3∞. We have to check whether the general…

Q: Consider the following sequences. Part 1 out of 2 а. 16.3, 16.5, 16.7, 16.9, .. Is this sequence…

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Q: For Exercise, find the number of terms of the finite arithmetic sequence  11, 10.7, 10.4, 10.1, … ,…

A: Given, terms of the finite arithmetic sequence11, 10.7, 10.4, 10.1, …  −3.4