What is the formula for the nth term tn of the sequence: t2 = 3, tn = (-3/2)tn-1 , n is greater than or equal to 3   NOTE: the sequence is tn-1, not the value of tn, then minus 1

Q: As n increases, the terms of the sequence: an = (1 + 1/n)n get closer and closer to the number e…

A: an=1+1nn We need to find a10,a100,a1,000,a10,000,a1,00,000  and compare these terms for the decimal…

Q: 1 4. (2n)" 5. 3"-1 n(n+1)(n+2) 6.

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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: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

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

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Q: The sum of n terms of a certain series is 4" – 1 for all values of n Find the first three terms and…

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Q: Find a formula for the nth term of the sequence. 2) 0, 2, 0, 2, 0 (alternating 0's and 2's) A) an =…

A: Option C is correct.  Checking options we get that for nth term series in option C is correct.  Put…

Q: Find two different explicit formulas for the sequence{ -1, 1, -1, 1, -1, 1, ⋅ ⋅ ⋅}.

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: of the first 100 terms of the sequence: ; 99 Find the sum ak k=0

A: Given that, an=6+9n We need to find the sum of the first 100 terms of the sequence ∑k=099 ak

Q: Find the first four terms in the sequence with the nth term 6n−2

A: Given the nth term=6n-2 We have to find a1,a2,a3 and a4

Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: We need to determine the first three terms of the given sequence using the given general formula.…

Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: > The general term of the sequence 1,!! ! , starting by n-0 is (6) 2n+1 (ii) (iii)None of these

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Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

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 a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: Find the first three terms of the sequence whose nth term is as follows:

A: A sequence is a set of numbers that has a particular order or obeys a general form. The nth term of…

Q: Suppose you are given a sequence that is described by a formula, starting at index n=0. If you need…

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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: The first three terms of a sequence are given by 5x +8, -2r+1, x-4 (a) When x 11, show that the…

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Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: .Find the first four terms and the 100th term of the sequence whose nth term is given. an =2n−4

A: To find the first 4 terms we will plug n=1,2,3,4 respectively

Q: n2 is, 3n-1 th The 4" term of a sequence whose nth term an= - 16 Od. 11 9 16 None a. 8 Ob. 11 Oc.

A: We have to find 4th term of a sequence whose nth term is given as: an=-1n+1n23n-1 To find 4th term…

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: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…

A: we put n=10 in given sequence and find 10th term .see 2nd step.

Q: If the third term in the geometric series Larn is -108 and the sixth term is 32 then the ratio of n…

A: We have to find the ratio of given geometric series.

Q: Find first 5 terms of the following sequence: {an} given by a, = (-1)" („ 3n-2 n2-2n+3 99 Evaluate:…

A: First five terms of the sequence an=(-1)n(3n-2n2-2n+3) at n =1  a1=-3-21-2+3=-12 at n =2…

Q: The first term of a sequence is x1 = cos (1). The next terms arex2 = x1 or cos (2), whichever is…

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Q: The first three terms of a sequence are given by 5x + 8, -2r+1, x-4 (a) When x= 11, show that the…

A: Given problem:- The first three terms of a sequence are given by   5x + 8, - 2x + 1, x - 4   (a)…

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 first five terms of the sequence. An Зп + 1 bn = (-1)"n² 2n Сп n ||

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Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: Supposed vn =17-n2  is the explicit specification for a sequence. How many values of n (positive)…

A: Given: Vn=17-n2

Q: Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

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: Looking for a formula for the sequence below: 1, 0, 3, 2, 5, 4, 7, 6...   Can't seem to come up…

A: Given series 1, 0, 3, 2, 5, 4, 7, 6...

Q: Use the given nth term formula to compute the first tên terms of the sequence. n(2n+1) 6. аn 3 2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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: 1. 3n+1 3. n2 + 5n + 6 3-2п 2. 4. (n – 1)? | n+1

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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…

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

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. Image Added…

A: Given a sequence 41,72,106,1324,16120,... We need to find the value of nth term. We will check the…

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

A: By taking limit from n=0 to 3

Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

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Q: find a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

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Q: The first three terms of a geometric series are 2x, x-8, and 2x+5 respectively. Find the possible…

A: If a, b, c are in geometric progression, then it can be written that ab=bc .

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

Q: Consider the following sequence. 54, 18, 6, 2, ... State the general expression for the nth term of…

A: Find out common ratio of given expression,d= 1854,618, 26=13Therefore ,Given expression is geometric…

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.