The recursive formula of an arithmetic sequence is described below. a1 = 19, an = an-1 + %3D Which represents the explicit equation of this arithmetic sequence? an = 6n +13 an = 6n + 19 an = 13n + 6 D an 19n + 6

Q: The recursive formula of an arithmetic sequence is described below. a1 = 19, an = an-1+ 6 Which…

A: By using arithmetic sequence formula, we calculate the explicit equation of arithmetic sequence.

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: In an arithmetic sequence (a1, a2, a3, the first term is 5 and the 15th term is 61, then S15 is 555…

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Q: One term of an arithmetic sequence is a, = -18. The common difference is d=-6. Write a rule for then…

A: We will use the formula for finding the nth term of an arithmetic progression. First of all we will…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not…

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Q: Given the geometric sequence: -1, 6, -36, 216, . Which of the following represents the explicit…

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Q: The recursive formula of an arithmetic sequence is described below. a1 %3D 19, аn — аn -1 + 6 Which…

A: here option(a) is true.

Q: Given a geometric sequence of 2 , 12 , 72 , 432 , What is the common ratio? A.2 B.6 C.12 D.72 -2 , 6…

A: Topic = Sequence As per our guidelines , only one question with three sub-pats will be answered at a…

Q: Given the arithmetic sequence -9, -4, 1, 4, Which term has a value of 166? O 38 O 36 O 35 O 37

A: Given Arithmetic sequence = -9, -4, 1 ......... nth Term is given as 166

Q: Which of the following represents the recursive formula for the Arithmetic Sequence -27, -30, -33,…

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Q: The recursive formula of an arithmetic sequence is described below. 19, аn Which represents the…

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Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: We have to find the nth term of arithmetic sequence

Q: In an arithmetic sequence , if a2 = -1 and -11 , then the common difference d is | 10 -10 -21 12 -13

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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: Write an equation for the nth term of the given arithmetic

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Q: The 15th term of an arithmetic sequence is 21 and the common difference is -4. (a) Find the first…

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: The recursive definition of a geometric sequence is Jaj = aj | an = an-1r, n22 What is the recursive…

A: Given: The geometric sequence 3,9,27,81, ... To find: The recursive equation of given sequence.

Q: Is the following an arithmetic sequence? State yes or no, and explain how you know. If it is…

A: Here, we will find general nth term and will check if our term is correct or not.

Q: An arithmetic sequence has a first term of 64 and a common difference of 2. The sum of the first 10…

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Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

Q: An arithmetic sequence is given below. -6, -11, -16, -21, ... th Write an explicit formula for the n…

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Q: a. Write the first five terms of an arithmetic sequence with the given first term and common…

A: Given:

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: Is the sequence an arithmetic? 7+ 2n Your answer is (input yes or no) if your answer is yes, its…

A: Given:- an = 1/(7+2n)  To find :- Check given sequence is arithmetic or not, if yes the find first…

Q: Consider the sequence 8, 5, 2,-1.........-52 a) is the sequence an arithmetic progression? Why or…

A: Arithmetic Progression: A sequence is said to be an arithmetic progression, if the difference…

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

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Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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Q: Write a recursive formula for the sequence represented by the explicit formula. a, = 8.2(8)n - 1…

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Q: In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence -7, -3, 1, 5,........…

A: Given arithmetic sequence is -7, -3, 1, 5,........ . We have to find the 20th term of the sequence.…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: Write a formula for the general term of each arithmetic sequence. Then use the formula a? to find…

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Q: Which of the following represents the explicit formula for the Arithmetic Sequence? -33, -29, -25,…

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Q: Write the first five terms of the arithmetic sequence. an=an-1-6; a 1 = -20 O -6, -26, -46, -66, -86…

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Q: The recursive formula of an arithmetic sequence is described below. a1 = 19, an = an-1 + 6 Which…

A: a1=19,  an=an-1+6 Here first term is 19 and each next term is obtained by adding 6 to its previous…

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

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Q: The nth term of an arithmetic sequence is given. an =- (n - 1) (a) Find the first five terms of the…

A: Arithmetic sequence  { a, a+d, a+2d, a+3d, ............}

Q: Find the common ratio and write out the first four terms of the geometric sequence -1 6n 7 Common…

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Q: The recursive formula for a geometric sequence is an = with an initial value of a = . What is an…

A: Given, a1=17Therefore,a2=17(7)=1

Q: Given the recursive formula for an arithmetic sequence find the first five terms. A (1) = -34, A (n)…

A: we have given the recursion formula for a arithmetic sequence.  We have to find the first five terms…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not…

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Q: An arithmetic sequence is defined recursively by a1=-3 and a,-an-1+ What is the value of the term a,…

A: The arithmetic sequence is defined as follows: a1=-3 and an=an-1+7for n>1 The common difference…

Q: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Write a formula for the general…

A: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Write a formula for the general…

Q: If the 10th term of a geometric sequence is 243 times larger than the 5th term, then what is the…

A: We have to find

Q: An arithmetic sequence includes the values 5, 27, and 71. By which of the following equations could…

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19. - 12. -5. 2. . The sum is

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Q: The common factor of the geometric sequence an= 3.53n is the first term of the arithmetic sequence…

A: Solution-

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.