In Exercises 25–30 find a plausible formula for the general term of the given sequence. 25. {0, 1, 0, 1, 0, 1,...} 26. {1,7, 13, 19, 25, . } 1 2 1 4 27. 3' 9' 9' 81' 243' 5 5 5 5 28. 5,-278' 16' 2 3 $ 4 5 29. 3'5'7' 9* 1 1 1 2' 6' 24' 120 30. {1,

Q: 6. What is Nh rule of the sequence 7, 14, 21, 28 A. 7n B. n+ 7 C. 6n + 1 D. Sn+2

A: 6. To find the n-th rule of the given sequence 7, 14, 21, 28Correct option is A. 7nReason :for n=1…

Q: Let a₁, a2, a3, ... be the sequence defined recursively as follows. ak= 3ak-1 + 2 for each integer k…

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Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

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Q: 2. Write the 1st 6 terms of the sequence $1=1 $n=tn_1+3

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Q: Find the fifth term of the geometric sequence. a=3 r=-3 The fifth term of the geometric sequence is…

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Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…

Q: A. Consider the given geometric sequences below, find the sum of the indicated number of terms. 1.…

A: Given that;                           1. 3, 12, 48, 192, ...2. 40, 20, 10, 5, ...3. 12, 12, 12, 12,…

Q: n! n-1, 2, 3, .. 1) Find the third term of the sequence, a, 3" +4n

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Q: What is the 10th term of the sequence 3, 12, 48, 192,...? 0 3,145,728 786,432 1,048,576 924,346

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Q: 4. Give a recursive definition of the sequence an if an = n(n+1), where n = 1, 2, 3, ... %3D

A: We have to give a recursive definition of the sequence an where an=  n(n+1) for n= 1,2,3,....

Q: A sequence ao, a1, a2, .. .satisfies an = n an-1+(-1)" for n > 1. If a5 = 44, then az %3D

A: Since, a sequence a0,a1,a2,..... satisfies an=n.an-1+(-1)n-(i) for n≥1.Ifa5=44. Our Aim is to find…

Q: Example 1: Find the first five terms of the sequence where an = n2 – 3 %3D

A: Given :            To find the first five term of the sequence,  an = n2 - 3 The first five terms…

Q: In Exercises 13–30, find a formula for the nth term of the sequence. 13. 1, –1, 1, –1, 1, . . 14.…

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Q: 6. Libby and Liz are trying to find the 9th term of the geometric sequence -5, 10, –20, . Their work…

A: solution.

Q: What is a formula for the nth term of the given sequence? 4, 16, 64... An = 4(4)1-n Am = 1(;)n…

A: We are given a sequence : 4,16,64,... We need to find the formula for nth term of the sequence.…

Q: Carson's computer has 59.5 gigabytes of available space. Every movie that is downloaded occupies an…

A: Given, Space available= 59.5 GB Storage of every movie downloaded= 1.5 GB

Q: 1933 a. b. The first five terms of a sequence are given. Find the nth term an of the sequence. 44 44…

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Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: What is the common difference or common ratio? O The common difference is 4. 4. O The common…

A: Sequence is missing so that I take a sequence  example for your understanding about common…

Q: 04. What is the first term for the sequence? 8, 31/3, 38/3, 15, 52/3, 59/3 A. 8 В. 7/3 C. 59/3 D. 15…

A: Given a sequence:8, 313, 383,15,523,593

Q: 1.1 Consider the quadratic sequence: 8; 18; 30; 44;... 1.1.1 Write down the next two terms of the…

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Q: 10. Which set is an example of a harmonic sequence? 1 1 1 1 a. 2 57 2 1 1 1 1 b. 2'4'6'8 1345 С. 2'2…

A: Topic = Sequence Correct option = b

Q: What's More Let us put your understanding to the test by answering the following activity Activity…

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Q: 1 + 5 + 9 + 13 + 17 + ...

A: The sum notation, ∑ is used to write the sum of a sequence.

Q: Question A. Write out the terms of the given sequence. 4. an = n! 1 2 an = (-1)" n+1

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Q: The first six terms of the Fibonacci sequence are 1,1,2,3,5, and 8. 1. Write the first 12 terms of…

A: Fibonacci series goes like: xn=xn-1+xn-2The nth term of the series is sum of the previous two…

Q: 1-6 - Terms of a Sequence Find the first four terms as well as the tenth term of the sequence with…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A. Determine 1. 2. 3. the next three terms for each sequence. 9, 16, 23, 30, ... 4, 10, 16, 22, ...…

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