Let 3, 10, 17, 24, 31,......be a sequence. Find an expression for its nth term i.e an and find a36

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: The 11th term in the sequence 1/6, -1/2, 3/2, -9/2, ...... can be written as ______?

A: Given geometric series,       16,-12,32,-92,.....

Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

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Q: The first eight terms of a sequence are as follows: 2, 6, 12, 20, 30, 42, 56, 72, Find a closed…

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Q: If F, = 6 and F2 = 3, list the first 8 terms of this Fibonacci-type sequence.

A: topic - fibonacci type sequence in fibonacci sequence, The next number is found by adding up the two…

Q: Find the 15th term of the following sequence. {64, 16, 4, 1, .}

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Q: Show that the sequence 9,12,15,18, ... is an AP. Find its 16th term and the general term.

A: We need to show that the sequence 9, 12, 15, 18, ... is an AP. Here, 12 - 9 = 15 - 12 = 3. And the…

Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

Q: Suppose that a sequence is defined as follows. a=2, a,=-3a,-1 for n22 List the first four terms of…

A: Given :              a1 = 2              an = -3 an-1 + 5 To find :                    The first…

Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 7 8 9. 10

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Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: Predict the general term, or nth term, an, of the sequence. 1 7, 2 8, 3 9, 4 10, ..

A: The given sequence is 1*7,2*8,3*9,4*10,...

Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

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Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

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Q: Construct a difference table to predict the next term of each sequence 9,4,3,12,37,84

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Q: Construct a difference table to predict the next term of each sequence. 9, 4, 3, 12, 37, 84, ...

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Q: Suppose that a sequence is defined as follows. a, =7, a,=a,-1-3 for n>2 List the first four terms of…

A: The objective of the question is determine the four terms of the given sequence.

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be

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Q: 2. Find the nth term of the sequences below: a. 3,-5, 7,-9, 11,...

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Q: find the nth term of a sequence whose first terms are given. −3, 5, 13, 21,...

A: One have to check the difference 5--3=813-5=821-13=8 So the common difference is 8 and the first…

Q: The sequence 2, 6, 24, 120, . . .  is an example of a geometric sequence.Determine whether the…

A: Consider the given sequence 2, 6, 24, 120,.....

Q: Determine the first five terms of the sequence whose nth term is defined as follow.  ann=(1/2)n-1-8

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Q: Suppose I have a sequence; 3, 6, 9, 12,... Find the sum of the 6th, 12th, 18th, and 66th term please

A: SOLUTION-

Q: Construct a difference table to predict the next term of the sequence. 1, 8, 20, 37, 59, 86, . ..

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Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: ,(n+), Does the sequences eventually increasing or decreasing ? (2n² – 7n) , (n³ – 4n²), (- , (n +…

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Q: Suppose that the sequence {ax}ı is k= 1,3, 5, 7, 9, 11, 13,.. What is a;?

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: Construct a difference table to predict the next term of the sequence. 1, 6, 17, 34, 57, 86, . . .

A: We will find difference between the given numbers to find a pattern. Then we can again find 2nd…

Q: Find the eigth term of a sequence 3,6,12

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Q: What is the n^th term of the following sequence 1,4,7,10

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Q: Find the nth term of a sequence whose first several terms are given. 3 5 7 9 1, 4' 9' 16' 25' an

A: See attached file for a step by step explanation.

Q: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

Q: Construct a difference table to predict the next term of the sequence. −1, 3, 21, 58, 119, 209,…

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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: The first four terms of the sequence defined by An = nan-1+n'an-2, ao = 3, aj= 5 are ao = 3, a1 = 5,…

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Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

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Q: Suppose that the sequence {az}ı is k=1 1,3, 5, 7,9, 11, 13,.. What is a1?

A: First we find the general of the given sequence {ak}∞k=1=1,3,5,7,9,11,13,..., with the help of…

Q: Consider the sequence: 2, 4, 8, 16, 32, ...Determine the 13th term of the sequence.

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Q: Suppose we have the sequence 1, 4, 7, 10, ... Find an explicit formula for the nth term of the…

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Q: Find the 12th term of the sequence 8,14,20,26

A: Given sequence is 8, 14, 20, 26. We have to find the 12th term of the given sequence. Here, 14-8=6…

Q: Find an explicit formula for the general term  an  of the sequence. 1, −  1 3 ,   1 5 , −  1 7 ,…

A: We have to find the formula of general term.

Q: I) Consider the sequence 4, 6, 8, 10, 12, (a) If {an} denotesthis sequence, then n=1 a1 =

A: Given the given sequence is 4, 6, 8, 10, 12, ···

Q: 2. Find the nth term of the sequences below: a. 3, -5, 7, - 9, 11, ...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

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Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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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.