Consider a sequence generated by the formula ​f(n)=3n-9​ starting with ? = ?.

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: Find the first five terms of the explicit arithmetic sequence. an = 4n 2 %3D O 2, 3, 4, 5, 6 O 6,…

A: we have to find the first five terms of the explicit arithmetic sequence an=4n-2 .

Q: d.Write only the first 4 terms in the sequence defined by the formula given below: k az = 2 for all…

A: First four value is  0 ,0 ,2 ,2

Q: Find these terms of the sequence (a where an=2-3)"5"

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Q: Use the explicit formula to find the 50th term of the sequence An -n² - 3n

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Q: Find a formula for a, for the arithmetic sequence. 5 aq = 0, d = - %3D

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Q: Find the sum (to the nearest hundredth) of the first 17 terms of the sequence defined by the…

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

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A: Given that, first few terms are:      -6,4,-83,169,-3227..... The given sequence is the geometric…

Q: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: calculate the first four terms of the sequence, startingwith n = 1.bn = (2n − 1)!/n!

A: The given sequence is, bn=2n-1!n! The objective is to calculate the first four terms of the…

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: Find the first four terms of the sequence recursively defined by a1 =3 and an = n + 2an-1.

A: Given, first term of sequence is And terms of sequence recursively define by

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A: We have to find general term for given sequence.

Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * O…

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Q: Find the second, fifth, and eleventh terms of the sequence described by the rule. A(n) = - 3+ (n-…

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Q: Find the first five terms of the sequence defined recursively below. c1 = -3 cn = 4cn-1 + n - 4

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Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

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Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…

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Q: Find the 71th term of the given sequence; sn=5n-100

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Given : 1, 4, 7, 10, 13…

Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

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Q: 5. a; = 9 and an= 3an-1-1, for n> 1

A: Topic :- Sequence and series  First three terms 26,77,230,.......

Q: 2" An 2n+1

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Q: Find the formula of the general term an of the sequence: 1 1 1 1

A: Sequence: A function whose domain is the set N of natural numbers and range is the set of real…

Q: Find the first three terms and the 10th term of the sequence given by an = n/(n +1 ).

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Q: a [미] = (1)”u [미?

A: We should find the autocorrelation of the sequence.

Q: Determine the formula for the following sequence −15,−12,−9,−6,−3

A: Since, we have been given the sequence as -15, -12, -9, -6, -3.Our aim is to construct the formula…

Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

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Q: Use the given nth- term formula to compute the first five terms of the sequence. an=n/n+1

A: Given an  = n/(n+1) So the first five terms of sequence are a1 = 1/(1+1) = 1/2 a2 = 2/(2+1) = 2/3

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2,…

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Q: Find the fourth term of the recursively defined sequence. 1 an = 5 2 + a n-1

A: To find the fourth term of the given recursively defined sequence.

Q: Find the formula of the general term an of the sequence:

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Q: Find the infinite sum of the geometric sequence with 3 if it exists. a = 2, r =

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Q: Find a1 in a geometric sequence where Sn=3045, r=2/5, and an=120

A: topic- geometric sequence

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....

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Q: Find the recursive formula for the nth term of the sequence given below. 2, 14, 34, 62, 98, ...

A: Definition: Recursive formulae in a sequence: It is a formulae to find the next term in sequence…

Q: Find the sum to the nearest tenth of the first 17 terms of the sequence defined by the recursion a…

A: Given first term ( a ) = 5 Next term of series = 1.1 + an-1 This defines an A.P. with first term of…

Q: Find the first ten terms of the sequence in the formula an = 4n -n - 2. %3D

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find a formula for the general term an of  the sequence,assuming that the pattern of the first few…

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Q: Find the first four terms of the sequence with a recursive formula.

A: We have a recursive formula here. In a recursive formula, every subsequent term is derived from the…

Q: Consider the sequence defined by an a, = 2n + (-1)" – 1 for every integer n > 0. Find an alternative…

A: first we write few terms of given sequence then observe the pattern to get final answers.

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: find the explicit formula for the general nth term of the geometric sequence…

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Q: Find all the terms of the finite sequence. 6) an = n²-n for 1≤n=5

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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.