Given the following sequence: 33, 30, 27, 24, ... [2] Write a formula to generate the nh term and be sure to include the necessary parameters.

Q: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?

A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the…

Q: Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120,…

A: Given sequence is  4/5 , 4 , 20 , 120 Series is Geometric Progression Series has first term as 4/5…

Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 5 9 13 17 21…

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Q: se the formula for the sum of the first n terms of the geometric sequence, and then state the…

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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: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: Given a sequence defined by the explicit definition: tn = 2" – n, find the 5th term of the sequence.…

A: It is given that,the sequence:tn=2n-n We have to find the 5th term of the sequence.

Q: For the sequence 2, 4, 8, 16 .. ., give a formula for its nth term:

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Q: As n increases, the terms of the sequence:get closer and closer to the number e (where e ≈…

A: Substitute 10 for n in the expression to calculate the value of a10.

Q: Find an explicit formula for the following sequence, an which starts with a1=−1.…

A: We have to solve given question.

Q: Find an explicit formula for the general term an of the sequence. (1,-1/3,1/5,-1/7,...)

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Q: Find the first five terms of the following sequence, starting with n = = 1. Cn n2 – 3 Give your…

A: Given,

Q: Find a formula for the nth term of the following sequences: (4) +, 구, 흙, An = (b) , 2 3 5 6 , 7) 4…

A: Solution: The objective is to find the nth term of the given sequences

Q: For the following sequence, give an explicit formula for the nth term.…

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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 a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…

A: The detailed solution is given below Thank you

Q: Find an explicit formula for the following sequence, an which starts with aı = -1. 1 11 1 3'7'5…

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Q: The formula for the sum of the first n terms of a geometric series is given by  Sn =_______(r ≠ 1).

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Q: Find a closed formula in terms of n for the sequence an described by ao = 4, and a, = 5a, –1+ 3 for…

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Q: For Exercise, find the sum of the geometric series, if possible. k-1 Σ k=1

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

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Q: , 256 Find the missing terms from the following geometric sequence: 4,

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Q: Find a formula for the general term an of the sequence, starting with a1.{3,−3,3,−3,…}.

A: Given sequence is,

Q: Find the first five terms of the following sequence, starting with n = 1. b, = (-1)"(4n² – 4) Give…

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Q: Given the following sequence, provide the (unsimplified) sum of the first 20 terms: -2, 3, 8, 13,…

A: given sequence is :                                       -2, 3, 8, 13...  we have to find sum of n…

Q: Find S, for the arithmetic series 24+16+8+.. 20

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Q: For the following sequence, give an explicit formula for the nth term. a1=6 an=−5an−1 for n≥2

A: We have to find nth term

Q: Use iteration to guess an explicit formula for the following sequence - dz = 5dr-1 + 3, for all…

A: Given dk = 5dk - 1 + 3, ...... (1) dk - 1 = 5dk - 2 + 3 ......(2)

Q: For the following sequence, give an explicit formula for the nth term for n ≥ 2. an 2 a₁ = 2, an+1 =

A: We are asked to find the explicit formula for the sequence.

Q: 6, V8

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Q: For the following sequence, state the next three terms. 39, 34, 29, 24, The common difference is :…

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Q: The sum, Sn, of the first n terms of the sequence is given by the formula Sn =______ , where a1 is…

A: The sum, Sn, of the first n terms of the sequence is given by the formula Sn = a1(1-rn)(1-r)

Q: Find the sum of the finite geometric series by using the formula for Sn 16 32

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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 a formula for the nth term of the sequence where a, is calculated directly from n. 12 1 2 6 24…

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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: Given the following information for the arithmetic series, find the sum of the series, Sg a₁ = 5, ag…

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Q: Find a, and a, for the following geometric sequence. अ-4.r--3 a.

A: We write geometric sequence like this:                 a1, a1r, a1r2, a1r3, ..., a1rn-1,... where,…

Q: Find a formula for the nth term of the following sequences: -1 8 > 27 .. = up (b) 풍, 승, 목, .. 4 5 bn…

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Q: Given the following sequence, provide the (unsimplified) sum of the first 14 terms: -6, 12,-24, 48,…

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Q: Find the explicit formula of the following sequence. {8, 4, 2, 1, ...} f(n) = a, · 3n-1 a

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 37 11 15 19…

A: The numerators are 3, 7, 11, 15, 19,... This is an arithmetic progression with a common difference…

Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

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Q: The general term of sequence I,Ź stanting by n =D0 is

A: By taking limit from n=0 to 3

Q: For the following sequence, give an explicit formula for the nth term. aj = 6 %3| An -5a,-1 for n >…

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Q: Find the sum of the following arithmetic series and write in summation notation.

A: Given Arithmetic series is, : 4, 11,....... For  Arithmetic series the sum to n terms is given as:

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −3 such that…

A: Our Aim is to find a formula an for the nth term of the arithmetic sequencewhose first term is a1=-3…

Q: How many terms are in the following geometric series

A: Given: a1=1,r=14,Sn=13651024 To find: Number of terms in the geometric series (n)

Q: For Exercise, find the indicated term of a geometric sequence from the given information. and r = 64…

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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.