A geometric sequence starting with 6 is given by xn+1 =n. Find the 5th term in the sequence. a. 216 b. с. 432 d. 84 1 e. 142

Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next…

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Q: Find the requested term. find the 60th term of the sequence sn =(-1)^n(n+1)

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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: (M) Find the nth term of the sequence a 4 and lus = 16 10/200/0201/ 20006 b) ₂ = 94 and 16 = 85…

A: Assume the given terms of the sequence is in Arithmetic progression. 3a Given u1=−4 and u5=16. We…

Q: 8. Give the first 3 terms of the following geometric sequence and the n" term, a. a. a=4 andr 2 d. a…

A: Here given that                             a=4 and r=2 We have to find the first 3 terms of the…

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: The first term of a geometric sequence is 5. The common ratio = -3. Find the 7th term. a, = a(r)-1 O…

A: It is in gp

Q: Consider the sequence given by an = 2 – 6n. a. Find the first 6 terms of the sequence. What sort of…

A: If the difference between two successive terms in a sequence is constant, then the sequence is an…

Q: Show that the given sequence is geometric, and find the common ratio.

A: Explanation: A geometric progression is a sequence of non-zero terms in which ratio of any term and…

Q: Find the first four terms of the sequence given by the following. a, = 67 + 3 (n -1), n = 1, 2, 3

A: In this question , we can find first four term of the sequence. Put n=1, 2, 3, 4 in the given…

Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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Q: 35 (b) (5+7k) = k=D1

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Q: An arithmetic sequence is given below. 10, 3, -4, -11, th term d, Write an explicit formula for the…

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Q: C. Solve as indicated. 1. How many terms are there in an arithmetic sequence where a, = 12, a, = 60…

A: We have to find the number of terms in the arithmetic sequence where a1=12, an=60 and d=8

Q: A ball rolling down an inclined plane rolls 4 in. in the first second, 8 in. in the second second,…

A: a) The sequence has common difference 4. So, it is arithmatic.

Q: Find the formula of the general term an of the sequence: 10,50,250,1250 ..

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Q: Find the first four terms of the sequence given by the following  a n=57-8(n-1), n=1,2,3

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Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

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Q: What is the sum of the first 10 powers of 2? Assume the first term of the sequence is a1=2 A.s20=…

A: Given: A sequence of 10 terms with powers of 2, starts with first term a1=2. The objective is to…

Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

Q: Find the first three terms and the ninth term of the sequence that has the given nth term.…

A: An= (-1)n+11n(n+1)

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: Find the first four terms and the eighth term of the sequence.

A: Our Aim is to find four terms and the eighth term of the sequence given below:-3n-2n2+1-(i)

Q: 1. Find the 12 th term of an arithmetic sequence with a =-11 and a30 = 105

A: we have to solve the problem

Q: Find the sum of the first 7 terms of the sequence. The formula for the sum of the sequence is given…

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Q: Find the first five terms of the following sequence, starting with n = = 1. a, = (-1)"+'(6n² – 1)…

A: Answer and explanation is given below..

Q: Find the sum of the first 8 terms of a geometric series if the first and second terms are 1 and 12…

A: A geometric sequence is represented as , where a is the first term and r is the common ratio . The…

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: A geometric sequence has the following two terms: 25 and 3 15625 az = a7 = 243 Write the explicit…

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Q: Find the indicated term of the sequence: an = n(3n + 1); a15

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Q: Find the first four terms of the sequence given by the following  a n =42-5(n-1), n=1,2,3

A: given the expression for common term of the sequence as, an = 42 - 5(n - 1)

Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: Find the first four terms and the 100th term of the sequence whose nth term is given. an = n − 3 a1…

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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: 1 4 9 9 16 3'9 27'81

A: The given first four term are -13,49,-927,1681. Rewrite the first four term as follows:…

Q: Find the Be pem of the sequence: term 6 16

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Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first…

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Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

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: What is a formula for the nth term of the given sequence? -8, 1, 10... an = -8(9)" an = 1+9(n – 1)…

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Q: Write the first five terms of the sequence with the given nth term. an = 6n − 2

A: Given: an=6n-2

Q: GIven arithmetic sequence with ap=3 and an ar--49.Eind an 31 and Lan h=1

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Q: 42. Find the second, fourth, and eleventh terms of the sequence described by: A(n) = 9 + (n - 1) (3)

A: The given sequence is, An=9+n-13 The second term is n=2 A2=9+2-13=9+3=12

Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..

A: Solution..

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

A: Given sequence is -1             4                 -9                16              -25 By…

Q: 2. Given the sequence: 1, 4, 9, 16, 25, .. what could be the 10th term?* c. 10000 d. 100000 a. 100…

A: This is a sequence problem so I used simple calculation to determine the 10th term of the given…