Write an explicit formula for the sequence: 1 1 12' 13 -1 1 8'9' 1 1 | .. 10' 11

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: 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: 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: In each part, find a formula for the general term of the the sequence, starting with n= 1. 1 1 1 1 1…

A: Since you have posted multipart questions i can do first three question as per our company…

Q: Find the first six terms of the following sequence. an = -2 – 7(-1)", for n > 1. %3D

A: To solve this problem we need to have an understanding about the powers of -1.

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: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…

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Q: Find an explicit formula for the following sequences with the initial given terms a , a , a , . 2 3…

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

A: We have to solve given question.

Q: Find the first four terms of the sequence given by the following. (-1)"*1 an п3D 1, 2, 3, ... %3D…

A: We have to find first four terms of the given sequence.

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 a formula for the nth term of the sequence in terms of n. 3 32 33 34 1 10' 15' 20' 25' 30

A: We have to find the nth term of the sequence.

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 sequence. 1, 0, 1, 0, 1,...

A: Given the series:1, 0, 1, 0, 1…

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: In each part, find a formula for the general term of the the sequence, starting with n = 1. 1 1 1…

A: a)      In each successive terms of the given sequence the denominator is rising by a factor of 3,…

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

A:

Q: 1,0,

A: Given: The sequence is 0 , 1-e11+ e2 , 1- e21+ e3 , 1- e31+ e4  , 1- e41+ e5 , .  . .

Q: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…

A: Option B is correct. Detail solution written below.

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: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

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Q: What is the value of r for the following sequence. 1/2,1/4,1/8,1/16 ..

A: In the question we have to find the value of r.

Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a, = 4…

A: Use general formula of geometric series

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, =n+5 O 320 O…

A: The general term of an arithmetic sequence is given by formula an = n+5 To evaluate : The sum of…

Q: Find the twelfth terms of the sequence described by the explicit formula f(n) = 7 - 2( n-1) %3D…

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

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Q: Find a formula for the nth term of the sequence in terms of n. 2 22 23 24 15 20' 25 30' 35 1 an for…

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Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…

A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5 8 11 14 17…

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Q: 6, V8

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Q: Find the formula an for the n th conditions: a₁ = term of the geometric sequence satisfying the…

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

A: Answer and explanation is given below..

Q: Find the formula of the general term an of the sequence 1 1 1 1 3 '5'7 '9

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

A:

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 a, is calculated directly from n. 6 8 10 12 14…

A: Solution: Here, we have the numerator as 6, 8, 10, 12, 14 ....

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

A: By taking limit from n=0 to 3

Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 '27 '81

A:

Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 1· 2 1.2.3…

A: Let Tn be the nth term. Examine the numerator of T1 = 1.2; that of T2 = 1.2.3; that of T3 = 1.2.3.4…

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: Write the first five terms of the sequence defined by the following functions. a.) S(n) = 2n – 1 b.)…

A: Write the first five term of the sequence define by the following functions. a). S(n) = 2n-1 b).…

Q: My sequence has the following terms: -100, 00 3 10000 20000 7 1000000 31 - 3 J...

A: This question can be solved by applying the concept of finding general term of a sequence.

Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 27 '81

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Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

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Q: Find the missing terms in the following geometric sequence, and state the common ratio 8, 1/2 O 4,…

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Q: For Exercise, write the first five terms of the sequence defined recursively. di = 30; d, = d,- - 1

A: We plug n=2 in the given formula and d1=30

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.