Determine what number comes next in the sequence? Justify your answer. NOTE: There are multiple right answers but you must justify and verify that your answer satisfies your reasoning. The solution guide may have a different answer or explanation than yours, but that doesn't mean you are wrong. Creative and unique solutions are encouraged, but internet searching is NOT banned, BUT you must give a full explanation. (a) 1, 2, 5, 10, 17, 26, ... (b) 8, 5, 4, 9, 1, 7,... (c) 1,4,8, 48, 88, 488,... (d) 3, 1, 4, 1, 5, 9, 2, 6,... (e) 1, 2, 4, 8, 15, 26, 42, ...

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: 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: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Given the sequence (a) 13, 29,327,481,...  Common difference, d = t1-t2=29-13=-13≠t4-t3=-581 The…

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: Suppose you make deposits into an investment account. These deposits occur in a sequence that are…

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Q: 1. Write an explicit formula for the sequence below. -2, 6, -18, ... Use your formula to find a23

A: Given sequence :  -2 , 6 , -18 , ......

Q: Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas…

A: The given sequence 3,6,9,12,15,…. We have to find n if an=735.

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: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Another way to derive an expression for the sum is to visualize the sum. In the tile pattern below,…

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Q: The sequence an starts with a0 = 1, a1 = x, a2 = x2/2, a3= x3/6, a4 = x4/24, a5 = x5/120, . . . a.)…

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Q: 1 1 1 2 ? 6 3 2 3 - , 6

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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: 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: -25 125 Explain why you think the sequence -2, 3, , ·.. converges to a finite number or 32 ?…

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Q: Find the 7th term in the sequence -5, -1, -5, -25, ... | Hint: Write a formula to help you. 1st term…

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Q: (a) Fill in the blanks to continue this dot sequence in the most likely way. 2 (b) What number…

A: From the given sequence we can clearly see that after each step there is addition of 3 dots row at…

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: Christine is working on learning new recipes because she wants to be prepared when she leaves for…

A: We will find answers to all parts as following.

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

A: Here in the given series, the difference of given numbers has a difference of -4

Q: 1. S: (0, 6, 12, ...} S: (2, 4, 6, ..) S (1.5, 1.75, 2, ...} 15

A: We’ll answer the first 3 question since the exact one wasn’t specified. Please submit a new question…

Q: a) Write down the missing terms in the following sequence: 13, 17, 21, 29, 37, - b) She continues…

A: The general form of an Arithmetic Progression(AP) is a, a + d, a + 2d, a + 3d where 'a' is the first…

Q: Determine whether the sequence is arithmetic, geometric or neither. 0.25, -2, 16, -128, 1024 ...…

A: 0.25  -2   16   -128    1024    .......... this is a geometric sequence  where  first term = 0.25…

Q: Predict the general term, or nth term, an, of the sequence. 3, 6, 9, 12, 15, ... an (Simplify your…

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Q: True or False  Let the sequence of number would be; 2, 3, 7, 16, 32. The sixth term would be 57.

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Q: What is the sequences 7,2,-3,-8,-13 a1= _____________ Arithmetic or Geometric? The value or D or…

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Q: An arithmetic sequence k starts 4, 13, .... Explain how you would calculate the value of the 5,000th…

A: We can find the 5000th term of the given arithmetic sequence as below.

Q: Predict the general term, or nth term, an, of the sequence. - 12, 36, - 108, 324, - 972, ... an…

A: Here we have to find the general term.

Q: Use inductive reasoning to predict the next line in the sequence of computations. Then use a…

A: Given Sequence is: 333*333667=111111111 666*333667=222222222 999*333667=333333333…

Q: Consider the number sequence 4, 7, 12, 19, 28,… a. Make a formula for the number sequence. b. What…

A: The given number sequence is                          4, 7, 12, 19, 28, ... To answer the given…

Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: By writing a1, a2, a3, a4, . . . , an, . . . , I can see that the range of a sequence is the set of…

A: Given: a1, a2, a3, a4, . . . , an, . . .  range of the sequence is the positive set of integer

Q: Kara exercised 2 minutes a day the first week, 4 minutes a day the second, 8 minutes a day the…

A: A sequence is a list of numbers which follow a specific pattern. Polya's Technique of solving a…

Q: At the start of Sherry-Ann’s exercise routine, she rides 8 minutes on the Sure Thing Cycle. Each…

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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: 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: Give at least two consecutive numbers in a Fibonacci sequence. How do you compute for the next terms…

A: Fibonacci sequence is a mathematical sequence in which a term in the sequence is the sum of its two…

Q: Find the 7th term in the sequence -5,-1, -5, -25, ... Hint: Write a formula to help you. 1st term ·…

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Q: You are having a discussion about sequences with a classmate. He insists that the sequence…

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Q: Find the 7th term in the sequence 3, 1, 3, 9,... Hint: Write a formula to help you. 1st term ·…

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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: The general term of a sequence is given. Determine whether the sequence is arithmetic, geom an =n2…

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

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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: Robin bought a computer for $1,250. It will depreciate, or decrease in value, by 10% each year that…

A: A)1250, 1250-1250(0.1), 1125-1125(0.1),1012.5-1012.5(0.1),.....→1250, 1125, 1012.5, ....First term:…

Q: the following sequence arithmetic? 4, - 10, - 24, - 38, - 52, .... Select one: a. Yes b. No c.…

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