Consider the sequence of perfect squares that begins 1, 4, 9, 16, 25, 36, .... Think carefully about the relationship between the term's position and its value. For example, since az = term position n = 3 and the term value az = 9? Does this hold for all terms? 9, what is the relationship between the a. Complete the following explicit formula representing the term values in this sequence by writing an expression in terms of n. * Preview b. Complete each of the following statements using your explicit formula. a6 = 36 Preview a16 Preview c. Complete each of the following statements using your explicit formula. If an 169, then n = *. Preview If an 900, then n = Preview *.

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other…

Q: What is the next three numbers in the sequence: 2,5,10,17,26,37,50?  What formula can be used to…

A: Consider the given series, 2,5,10,17,26,37,50 Obtain a pattern in the series as follows.…

Q: What are the next two terms in the sequence 512, 256, 128, 64, ?

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Q: this sequence 31 27 23 19 Explain in detail how you could find the 10th term

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Q: Write the general formula of a sequence if the 5th term is -32 and the 20th term is 103. (Note: do…

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Q: the sequence 1, 5, -8, -2, -30, -20, and -78. Determine the rule pattern/formula of this sequence.

A: We have to form the rule of sequence.

Q: What is the next term in the sequence 3, 6, 8, 4, 2, 4, 6, 3, 1_________? A -2 B 0 2 D) 4

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

A: Given sequence

Q: The first four terms a1,a2,a3,a4 of the sequence are given as: a1=16,a2=14,a3=12,a4=10 Find the…

A: given a1=16a2=14a3=12a4=10

Q: The sequence a,= 8, 13, 18, 23, ...is the same as the sequence a = 8, an= a,1+5. A. True B. False

A: The sequence an=8, 13, 18, 23,.......is the same as the sequence a1=8, an=an-1+5

Q: The first four terms of an arithmetic sequence are p, 9, 3p - q, and 3p + q. What is the 2010th term…

A: The given arithmetic sequence are  p,9,3p-q,3p+q We have to find 2010 term of the sequence.

Q: What is the 75th term of the sequence given by 81,75,69,63

A: The given sequence is: 81, 75, 69, 63, ....

Q: Write the sequence in closed form. Make sure to indicate the domain. 3 %3D aj = 5

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Q: An arithmetic sequence is given. Find the common differenc {3n - 8} What is the value of the common…

A: From the given information. The nth term of arithmetic sequence is tn=3n-8.

Q: Can you see the next number in this sequence: 3, 8, 11, 16?

A: The difference between the first number 3 and second number 8 is 5.The difference between the second…

Q: c. Write an equation for the nth term of the sequence. d. Find 12- Use the sequence 16,384, 4096,…

A: solution:-16384, 4096, 1024, 256, ...214,      212,     210,    28,  ...this is Geometric…

Q: What is the sequence of 1,3,7,15,31

A: Given query is to find the sequence.

Q: 0,1,4,9_,_,_ pattern: find the sequence

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Q: A sequence starts with 128, and every term value in the sequence is a product of the previous term…

A: Using previous sequence,

Q: 2n - 5 3. Generate the first 4 terms of the sequence from this expression: 5. 1/3 :: ::

A: We have to find first 4 terms of sequence (2n-5)/3

Q: what is the notation in sequences? Expaln it.

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Q: 10, 15, 20, 25,30,35

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Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?

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Q: Make poetry using fib sequence

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Q: In the sequence 1, 5, -8, -2, -30, -20, and -78. Give the rule pattern or rule formula that can be…

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Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: 3 5 7 12'34'56'78

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Q: 1 1 1 1 1 8. 1, 2 3'4 5'6

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the sum 3 + 6 + 12 + 24 + ... + 3(2)^10

A: The given series is 3+6+12+24+...+3(2)10.

Q: me if a sequence is arithmetic, geometric or neither? G sequence.

A:

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.