17. Given the sequence 6, -3, ,-* 3. ... a. Is this sequence arithmetic, geometric or neither? Explain your reasoning. b. Determine the 12th element of this sequence. Explain your reasoning. c. Determine the sum of the first 12 elements of the sequence. Use a strategy from this class rather than simply totaling the numbers using a spreadsheet or calculator. d. If possible, determine the infinite sum of the sequence.

Q: Find the simplest form of the general term for the sequence 12, 17, 22, 27, .... 5 n+ 2 10 n- 2 10…

A: Please refer the attached image for complete solution.        Given:      sequence:…

Q: For Exercise, find the number of terms of the finite arithmetic sequence. 8, 14, 20, 26, … , 320

A: Let there are n terms in the sequence.a_1= 8 and a_n=320common difference = d= second term - first…

Q: 2. Which sequence has a common difference of -8? {1, -8, 64, -512, 4,096, ..} {536, 528, 520, 512,…

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Q: Suppose we have the sequence 1, 4, 7, 10, ...

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Q: Which of the following is most likely to be the next number in the sequence below? 4, 5, 7, 10,…

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

A: Terms of squence

Q: State where the following sequences are arithmetic sequence or not. then try to write their hidden…

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Q: Find the missing terms in the arithmetic sequence 2, a2, a3, 11

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

A: Given sequence

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

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Q: Which term of the sequence 9, 9.4, 9.8... is 17?

A: Given that :-   The sequence                            9 , 9.4 , 9.8  _ _  _ _ To find :- which…

Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: How would you classify the sequence 28, 21,15, 10,6, ....? .......

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Q: Determine whether the sequence is arithmetic or geometric.4, 8, 16, 32, 64, . . ._____________

A: Given:           4, 8, 16, 32, 64, . . .

Q: Find the missing arithmetic means in each sequence. 4. 12, 4 5.6, -3,_ 6. -7, _9

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Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

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Q: Is the sequence arithmetic, geometric or neither 4, 8, 16, 32,... O Arithmetic O Geometric Neither

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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: 3. What is a sequence?

A: Literally a sequence means things arranged in a specific order. That is, a sequence is a list of…

Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: 5, 12, 22, 35, ?  b.-2, 2,12, 28, 50, 78, ? c. 3, 6, 18, 36, 108, 216

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Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

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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: In the arithmetic sequence given below, what term is the number -21? 13 11 5, 5,

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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: Determine whether the following set of numbers is part of an arithmetic or geometric sequence. In…

A: We have to check

Q: Suppose that {a1, a2, a3, …} is an arithmetic sequence with common difference d. Explain why {a1, a3…

A: It is given that the given sequence is arithmetic sequence with common difference d.The given…

Q: 10 13 4, 10 ' 3 4) 5.

A: Basically, there are two rules that are the rule of addition or subtraction and the rule of…

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203…

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Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

A: 2. The required sequence can be solved as below

Q: Find the number of terms of the arithmetic sequence. 11, 14, 17, 20, 23, … , 122

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Q: Find the expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

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Q: i) Find the general form of the sequence (10,50, 250, 1250, ...).

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Q: what is the sequence of 28,26,24,22...

A: Explanation of the solution is given below...

Q: Determine whether the sequence is arithmetic or geometric.4, 8, 12, 16, 20, . . ._____________

A: Given: 4, 8, 12, 16, 20, . . .

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: Find the next likely term in the sequence and identify the type of sequence: 16, 25, 34, 43

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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: 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: The missing term of the arithmetic sequence, 31, [ ], 47

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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: Is this sequence geometric? 2,4,12,48

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

A: Let's find.

Q: Which represents the arithmetic means of the following sequence: ..., 3125, 5? * What are the…

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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: Use a difference table to predict the next term and formula in the sequence  1, 2, 6, 7, 21, 22,…

A: It is an important part of statistics as well as mathematics.  It forms a firm background for…

Q: Predict the next number in the sequence: 3/12, 5/34, 7/56, 9/78, ?

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Q: 2. Determine the Sum of the first 6 terms of the Sequence 5/96 , 5/48 , 5/24 , 5/12,... Enter your…

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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…