An arithmetic sequence may have a positive or negative difference. In each of the following arithmetic sequences, find the difference and write the next two terms. a. 4, 11, 18, - 25, ... b.9- 3х, 9- х, 9 +x, .. ..... a. The common difference is

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

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: For an arithmetic sequence, a17 a1 = the sum of the first 65 terms= > Next Question - 47. If the…

A: It is given that, a17=47 and common difference(d)=5 a1=? Sum of the first 65 terms=?

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: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

A: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

Q: Which of the following equations represents the nth term of the arithmetic sequence? 17, 24, 31, 38,…

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Q: If the 3rd term of an arithmetic sequence is 18 and the 7th term is 38. Find the 10th term. Select…

A: Here, 3rd term, x3=18            7th term, x7=38 We need to find 10th term, x10

Q: In an arithmetic sequence , if a, = -11 and az = -26 , then the common difference d is -18 O 17 O 15…

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Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: In an arithmetic sequence , if ag = -12 and ag = -31, then the common difference d is O 19 O -22 O…

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Q: II. Find the 50th term of the following Arithmetic Sequence. А.)-39, -33, -27, -21, ... B.)-27, -17,…

A: II-A) Given: The arithmetic sequence is -39, -33, -27, -21, ......... Here, the first term of the…

Q: . Recursively, find the missing term of the arithmetic sequence with the following given that a₁ =…

A: We have a1=5 , a2=11 , a7=? . To find the 7th term of the given arithmetic series .

Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: Write an expression for the general or nth term, a,, for the geometric sequence. 4, 20, 100, 500, .…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the missing term or terms in each geometric sequence. 9) .., 4, 108, ... 10) ., -25, 25 1

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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 may have a positive or negative difference. In each of the following arithm…

A: We have to find common ratio

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: The first three terms of an arithmetic sequence are as follows. 31, 24, 17 Find the next two terms…

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Q: Given the first term and the common difference of an arithmetic sequence find the first five terms…

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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: Which of the following sequences is an arithmetic sequence? Select all correct answers.

A: We have to find the arithmetic sequences from the following sequences.

Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

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Q: Which of the following statements describes the total of the first n terms of the arithmetic…

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Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: Which of the following sequences is an arithmetic sequence? Select all correct answers. Select all…

A: -4, 1, 6, 1, -4 _ _ _

Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: The first three terms of an arithmetic sequence are as follows. 3, -3, -9 Find the next two terms of…

A: We know that for Arithmetic Progression, Common difference (d) = a2 - a1…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t, in terms of n,…

A: The given sequence-1,-2,-3,......

Q: -For each sequence, decide whether it could be arithmetic, a. 25, 5, 1, ... b. 25, 19, 13, ... c. 4,…

A: Given: a)  25,  5,  1,  ...b)  25,  19,  13,  ...c)  4,  9,  16,  ...d)  50,  60,  70,  ...e)  12,…

Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

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Q: In an arithmetic sequence a1, a2,, an , if the first term is 6 and the common difference is 4, then…

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Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: The sum of the first n terms of an arithmetic sequence is S, = bn – 2n². Find b if the tenth term is…

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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: For sequence A, describe a way to produce each new term from the previous term. Sequence A term…

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Q: Given the first four terms in an arithmetic sequence, find the recursive formula. 39, 34, 29, 24

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Q: Show that the given sequence is arithmetic, and find the common difference.53, 48, 43, . . . , 58 -…

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Q: Which explicit formula represents an arithmetic sequence with a first term of 19 and a common…

A: Given: a first term of 19 and a common difference of 4 a=19  and common difference d= 4 The general…

Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

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Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

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Q: In an arithmetic sequence, if a2 =-13 and az =-33, then the common difference d is O -20 O-53 O 20 O…

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Q: In an arithmetic sequence, if a2 = -14 and az = -31, then the common difference d is 19 -48 O 17 O…

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Q: Write a recursive formula for the following arithmetic sequence. 10, 4, -2, -8, ... |for n z 2 a

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Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: B. Write the last four terms before a, of the geometric sequence in which a, and r are as follows:…

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