Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, and O if it is not one of the mentioned types. Show your Solution. _____d. ⅓, 2/9, 3/27, 4/81, ... _____e. 1, 1, 2, 3, 5, ... _____f. 1/5, 1/9, 1/13, 1/17, 1/21, ...

Q: A. Write the first four terms of the geometric sequence in which a, and r are as follows: 1. a, =7,…

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Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Given the sequence (a) 13, 29,327,481,...  Common difference, d = t1-t2=29-13=-13≠t4-t3=-581 The…

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

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A: a1=-30 and d=5

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: 23. The third term of an arithmetic sequence is 15, and the seventh term is 23. Find the 30th term.…

A: Given Data: The third term of the arithmetic sequence is: a3=15 The seventh term of the arithmetic…

Q: The 7th term of the geometric sequence whose first term is 6 and the common ratio is is 3 256 729…

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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: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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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: For each sequence, determine whether it appears to be geometric. If it does, find the common ratio.…

A: Given problem:- For each sequence, determine whether it appears to be geometric. If it does, find…

Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: Determine if the sequence is geometric, If it is, find the common ratio, the 8th term, and the…

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Q: I am needing help writing an expression for the nth term in the attached image.

A: Given:

Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

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: Consider the geometric sequence defined by an=3 (2) n–1 1. Find the first four terms of the…

A: The given geometric sequence is: an=3×2n-1

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: 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: determine whether the sequence is arithmetic. If so, then find the common difference.

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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: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: la = 8 and an-1– 4 for n > 2

A: The solution are next step

Q: The 12th term of an arithmetic sequence is 34 and the fifth term is 20. Find the 20th term.

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Q: both questions

A: If a1 is the first term of arithmetic sequence and d is common difference, then n th term of…

Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

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: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: The given sequence is a, a+4, a+8

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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

A: topic- arithmetic sequence

Q: th For a given arithmetic sequence, the 36 term, a36, is equal to 142, and the 87 term, ag7, is…

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Q: the first term of a geometric sequence is 3, and the third term is 4/3. find the fifth term. Thank…

A: first term a1=3third term a3=43

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: 3. An arithmetic sequence is given by k,,, 0. 0,.... (a) Find the sixth term. (b) If the 20th term…

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Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: The first four terms of the arithmetic sequence are given below. Determine an. 15, 11, 7, 3, ... О…

A: The first four terms of the arithmetic sequence are given below 15,11,7,3 To find: an

Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Determine if the sequence is geometric. If it is, find the common ratio and the nth term. 5) -3,…

A: Given: -3, -15, -75, -375, ... are given sequenceTo identify whether the given sequence are in G.P.…

Q: Which of these is an infinite arithmetic sequence? O (724, -362, 181, -90.5} O (232, 354, 476, 598,…

A: A airthmetic sequence terms like as  a , a+ d , a + 2d , a + 3d ........... Here d is common…

Q: The nth term of an arithmetic sequence is given. an = 1/2(n-3) (a) Find the first five terms of the…

A: Given:The nthterm of the arithmetic sequence is an=12(n-3)To find:a) we have to find the…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

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Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then

Q: determine whether the following sequence is arithmetic geometric, and then find the common…

A: series 2,3,4,4,3,2

Q: For the geometric sequence 1, b, b², b³, ..., which of the following is the sum of the first six…

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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.