determine the closed formula that generates the sequence 1,2,4,8,16,32

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: Write a recursive formula for each sequence. 4, 12, 36, 108, --- 9,4,-1,-6, .. ロロ ロ+■ ローロ ロ-ロ |for n…

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Q: bn Уп? + 6п — п,

A: Given that the sequence bn=n2+6n-n where n∈ℕ and ℕ is the set of natural numbers. We have to…

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

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Q: Find the 7th term in the sequence 2, 8, 32, 128, . ..

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

Q: Write the first four terms of the sequence defined by the recursion formula. a1 = 3 and an = an-1 -…

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Q: Write a recursive formula for each sequence. 3,-6, 12, -24, ... 2, 6, 10, 14, ... %3D for n 2 2 for…

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Q: Find a12 in the geometric sequence. 64, 16, 4, . . .

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Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

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Q: find a rule which describes the given numbers in the sequence 2. 1.1/8, 1/27, 1/64, 1/125..

A: Here is the solution:

Q: Find the next term of the sequence: 3, 6, 12, 24, 48,

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Q: Find the 8th term of the sequence -5,- 27 2187 6561 2187 D cannot be determined 5n

A: Given: Sequence: -5, -53, -59, -527, ... To Find: The 8th term of the given sequence

Q: Find the number of terms in the finite arithmetic sequence. 2, 6, 10, 94

A: Given sequence is    The sequence is arithmetic sequence with first term a=2 and common difference…

Q: Find the first six terms of the sequence. a1 = -3, %3D an = an-1 + 8

A: (1) we need to find the first six terms of the sequence using given recursive formula. (2) we need…

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: Find a formula for the sequence

A: In this question, we have to solve the third-order difference equation in general form and then…

Q: Find the value of the number in the 75th term in this sequences : 4, 7, 12, 19, 28, …

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Q: Write an explicit formula for the sequence. 16 256 1, 2, 16, 3. 5

A: Given sequence 1,2,(16/3),16,(256/5),...... Explicit formula for the sequence is. Steps are written…

Q: Give three examples of finite sequences and three examples of infinite sequences.

A: Please note that according to guidelines only first Q is solved. Please repost other questions.…

Q: Use the common ratio to calculate the next 3 terms for the sequence: 2,4,8,16

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Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

Q: Find the first five terms of the recursively defined infinite sequence.

A: Given,                a1=5,                       ak+1=7-2ak

Q: state the recursive formula that generates the last number in the sequence 1, 2, 3, 5, 7, 11, 15,…

A: The given sequence is 1, 2, 3, 5, 7, 11, 15, 23, 31.

Q: List the first five terms of the sequence. a1 = 3, an+1 = 5a, - 5 5а, - 5 %3D

A: Given the sequence is a1 = 3, an+1 = 5an – 5. We have to calculate the first five terms of this…

Q: Find the first six terms of the sequence. a1 = -3, an = an-1 + 8 %3D

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Q: Find the first four terms and the eighth term of the sequence.{12 - 3n}

A: Find the first four terms and the eighth term of the sequence.{12 - 3n} Given, an=12-3n To find a1,…

Q: What is the 6th term of the sequence 8, 32, 128, 512, ...?

A: what is the sixth term of the sequence , 8, 32 ,128 512, ....?

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

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Q: Find the sum of all terms in the Sequence 96,72, 54,...

A: Solution:

Q: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

Q: Find the closed form of the generating function for the sequence 2,4, 8, 16, 32, ...

A: Generating Function: Let a0, a1, a2, a3, a4, .....be a sequence of real numbers denoted as an Then a…

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

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Q: What is the 10th term in this sequence: 1, 3, 9, 27,...

A: Given,          The sequence is 1 , 3 , 9 , 27 ,.....We know that,          The general term of G.P…

Q: Find the first five terms of the recursively defined infinite sequence.a1 = 2, ak+1 = ak!

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Q: Find the Next term in the sequence 3,6,,9,15,24

A: We see that after the second term of the sequence it follows a pattern , such that . 9=3+6 15=6+9…

Q: is The sequence -

A: follow next step

Q: Find the nth term of the sequence 3, 7, 11, 15...​

A: To Determine: Find the nth term of the sequence 3, 7, 11, 15...​ Given: we have a series…

Q: Find the next term of the sequence: 4, 16, 64, 256, 1024,

A: Given

Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

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

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Q: {an} = {} 4 2

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Q: (2п)! An

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Q: Find the 10" term of the arithmetic sequence 1, 2-, 3- ...

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Q: Give the first five terms of the sequence: a, = n° -2n %3D

A: Given,           The sequence is an=n3-2n.

Q: Find the generating function of the sequence Un = n2

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Q: List the first five terms of the sequence: a1 = 2, az = 1, An+1 = An аn-1 %3D -

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Q: Find the next term of the sequence: 4, 20, 100, 500, 2500,

A: Given To evaluate next term of series