Write a recursive formula for the arithmetic sequence tn given below. -3, –12, –21, –30, –39, ... Select the correct answer below: O tn = -9tn-1 – 1, and tį = –3 %3D | O tn = tr-1 - 9, and t1 = -3 O In = tp-1 + 9, and t1 = -3 O In = tn-1 + 3, and tj = -9 O tn = -9tn-1 + 1, and t1 = -3 O In = tn-1 – 3, and t1 = -9

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

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Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −7 such that…

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Q: Write an expression for the apparent nth term a,, of the sequence. (Assume that n begins with 1.) 2,…

A: The given sequence is  2,9,28,65,126.... We are asking to write an expression for the apparent nth…

Q: Find the first five terms of the sequence defined recursively below. tj = 1 tn = -2tn-1 – 5 | Select…

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Q: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: 13. Find the nth term in the arithmetic sequence and simplify the result: a, =a+(n-1)d. a.…

A: 13.a) a=7 and d=4b) a=6 and d=20c) a=11 and d=9 Note:       Multiple questions with multiple sub…

Q: Write an expression for the apparent nth term (a,) of the sequence. (Assume that n begins with 1.) 2…

A: Given,          The sequence is 21,33,45,56,67,...We know that,           The nth term of an A.P is…

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A: We need to find the value of k such that the sequence is in geometric progression.

Q: Find the 9th and 10th terms of the sequence a, = 5n + 3. The 9th term is The 10th term is

A: Given : an = 5n+3

Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

Q: th Write a recursive formula for An, the n term of the sequence 18, 15, 12,... An Submit Answer An-1…

A: Given:      18 , 15 , 12 , ........

Q: Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter 1…

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Q: Find an explicit formula for the arithmetic sequence Cn that is given below. Note that C1 = -2.…

A: you can clearly understand if you follow the below solution

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

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Q: find the values of k so that the numbers 2k+1, 3k+4 and 7k+ 6 form a geometric sequence

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Q: Find the value of x so that 65 - x, 2x - 17, x +1 form an arithmetic sequence. 100 40 O 25 O 33

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Q: The recursive formula for a geometric sequence is a, = 2an -1 with an initial value of a1 = What is…

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Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for a, to…

A: A geometric sequence is an=arn-1 Where an is the nth term, a is the first term and r is the common…

Q: Find the explicit formula for the geometric sequence tn given below. Note that tj =7. 7, 14, 28, 56,…

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Q: th Write an explicit formula for an, the n" term of the sequence 2,-5,-12, ....

A: Given:2,-5,-12,.......Given sequence is in A.Pa=2…

Q: Find a formula for an for the arithmetic sequence. aj = 0, d=- a. 4 An=3n- 3 b. An=- 4 An=-n с. d. 4…

A: Given first term = a1= 0 and common difference = d= -4/5

Q: 2. Determine the value of the first term and write a recursive definition for the following…

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Q: Find a formula for the nth term of the sequence. 1,-4, 9, -16, 25, ... Determine the sequence's…

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Q: 1. Write out the next 4 terms of the sequence a = a,' +n-1; a, =1 (this means %3D а, а,, а,, а,).

A: Given a0=1 and an+1=an3+n-1a1 means n=0So, a1=a0+1=13+0-1          =0a2=a1+1=03+1+-1              =0

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: Write the first five terms of the geometric sequence defined recursively. Find the common ratio and…

A: I have provided a solution in step2

Q: Which of the following is the correct recursive formula for the sequence: -1,-2, -6, -24, -120, ...…

A: Given a sequence : -1,-2,-6,-24,-120 We need to find the correct recursive formula for the sequence.…

Q: a, of gives a formula for the nth term sequence {a,}. Find the values of a¡, a,, a3, and a4. Each of…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Q2. a) Write the explicit formula for the nth term of the sequence below. 4, 6, 10, 18, 34, ... b)…

A: Find your answer below

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1.........

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

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

A: Given that an is an arithmetic sequence whose initial term a1 and common difference d are given.…

Q: Write a recursive formula for the arithmetic sequence b, given below. -1,7, 15, 23, 31,... Select…

A: Recursive formula is generally used for computer programming. If we look at the series, we can…

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

Q: The 8th term of the geometric 1 1 4 sequence 2 3'9' 27

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Which of the following are the first three terms in the sequence defined by the recursive formula…

A: Given  a1=2an=an−1−1                   n>1

Q: Find a formula for the general term an of the sequence {2, 20, 2, 20, 2, · · · } assuming that the…

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Q: Find the first six terms of the piecewise sequence: S(- 2)" – 3 An | 3n -1 - 4 if n is even %3D if n…

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: Given a1=120 and d=4

Q: A. Write the first 5 terms of the sequence. 1. 0 = 4n – 3 n+1 2. 3. a = 8 - n

A: topic - arithmetic progression  note : As per bartleby guidelines, We are supposed to solve only…

Q: Write an expression for the apparent nth term (an) of the sequence. (Assume that n begins with 1.)…

A: This is a geometric sequence with a common ratio(r) : First-term is = a_1 = 1/3

Q: Write an explicit formula for the nth term of each arithmetic sequence. Then, find the sixth term.…

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Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

A: Consider the sequence 0,3,8,15,24.....................

Q: 1. A sequence is defined by the recursive rule c, =c, 2" with c, =5. Which of the following…

A: Given a sequence:    cn=cn-1.2n-1          and c1=5

Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

A: By "the nth term" of a sequence we mean an expression that will allow us to calculate the term that…

Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

Q: Write a recursive formula for each sequence. 6, 12, 24, 48, ... 10, 7, 4, 1, ... %3D O for n 2 2 for…

A: 6, 12, 24, 48, ........ This is a geometric sequence   a1 = 6 an = an-1 × 2

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.