es A sequence is given by the recursive definition an = an-1 +3, ao = 2. a) Find aj,az, аз- b) Find a general formula for an, n 2 0.|

Q: Write the terms of a sequence defined by a recursive formula Question Given the sequence r, defined…

A: We find r2 by plugging n=2 and r1=2 in the formula for rn

Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

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

A: Details solution is given below :

Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: Let an be the n" element of the sequence 6,12,24,48, ... then an=ar" for constant values r and a.…

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Q: 1. Find these terms of the sequence (a,), where a, = 2 (-3y"+5". %3D b) a c) as d) as a) do

A: .

Q: Find a formula for the general term an OF the sequence (Assume that n begirnisuith 1) -8.16 -327…

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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: The first four terms of the sequence defined by a, = na,-1+n²an_2, a0 = 1, a2 = 3 are %3D ao = 1, a1…

A: Given nth term of the sequence is, an=nan-1+n2an-2 , and  a0=1, a1=3. Substituting n=2 in equation…

Q: The given pattern continues. Write down the nth term of the sequence {a,} suggested by the pattern.…

A: Option (C) is correct

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

A: We need to find nth term for given series.  First we will find a general pattern.

Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

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Q: Use inductive reasoning to predict the next three terms in each sequence. Make a conjecture for the…

A: Note: We provide answer up-to three multiple subparts. Please resubmit the question which you would…

Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

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Q: Let a sequence be defined by a, = 1, a, =1 for all n> 2, a, = an-1 +an-2 an+1 for n = 1,2,3,4 a,…

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Q: th Write an explicit formula for an, the n" term of the sequence 2,-5,-12, ....

A: Given:2,-5,-12,.......Given sequence is in A.Pa=2…

Q: Find a formula for the general term an of the sequence 2 5 8 11 14 3'9 27' 81' - 243' assuming that…

A: find Your Solution Below

Q: A sequence {a,} is defined by ao = a1 = a2 = 1 and an = 7a,-2+6an-3 n>3. Find a general formula for…

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

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

A: a1 = 10/3 r = 1/3

Q: A recursive formula for the sequence 18, 9, 4.5, ... is 1 91 = 18; gn = = In-1 1. 9n = 18( -1 2. 91…

A: Given- g1=18,gn=12gn-1 Putting n=2, g2=12g1=12×18=9 Putting n=3, g3=12g1=4.5 According to this…

Q: 1 and the recursive Which sequence could be described by the first term: aj 2 definition: An+1 =…

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Q: Consider the sequence given by an = 2 · 3n-1. a. Find the first 4 terms of the sequence. a1 = , A₂=…

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

A: Solutions:-4

Q: 1. Given the sequence:25, 21, 17, 13,..Write the explicit equation that models the sequence. O a) an…

A: Given: 25,21,17,13

Q: 6. Consider the sequence defined by the recursive formula an = 10 - a,-1 with ao = 2 (a) What are…

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Q: A sequence {a.} is said to have property I provided a,< an+1, for all natural numbers n, and it is…

A: Topic  =Sequence

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

A: -93,  119,  -1327,  1581,  -17243, ..... It can be written as, -11931,  -121132,  -131333,  -141534,…

Q: write an expression for the apparent nth term (an) of the sequence and assume that n begins with 1…

A: The sequence is given by 31, 42, 53, 64,75,····· To evaluate : The expression for the apparent nth…

Q: Write an explicit formula that can be used to find the value of an, the n th term in the sequence.…

A: Given : a = first term = 512 common difference ==6-512=12

Q: + 2". Find The sequence {a, } is given by the formula a, = [2n] + a) ao = b) a1 = c) az = d) az =

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Q: What are the first 5 terms (starting with ao) of the sequence described below? an = 2an-1 - an-2…

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Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

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Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

Q: Write an explicit formula for an, the nth term of the sequence 5, 15, 25, ....

A: *to find:- nth term, a_n.

Q: Define a sequence (cn)-o as follows: Sen+1 = Cn – cn–2, n2 2, co = 0,c1 = 2, c2 = 16. 49 225 n > 2,…

A: given sequence is  cnn=0∞   is as…

Q: a. Consider the sequence given by an = 2an-1– an-2, ao =1, a1 = 2. Compute a2, a3, a4, and az. b.…

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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: The rth term of a sequence is (57 -2). (b) Write down the first, second and third tems of this sequ…

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Q: dentify the sequence as geometric ór arithmetič. (r, = 11000 Im = 0.7rn-1

A: We can check the series as below by definition of geometric series

Q: 3. In the sequence {1, 5, 9, 13, 17, ...}, which term is ag? O a3 = 17 O az = 5 O az = 1 O a3 = 9

A: Topic  =Sequence a3 = 9

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: with the initial terms given below. Find an explicit formula for a sequence of the form a, a,, az,…

A: In this question, concept of sequence is applied. Sequence A sequence is an itemised collection of…

Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

A: Consider the sequence 0,3,8,15,24.....................

Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

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Q: Find a closed formula for the sequence (Cn)neN defined as follows: if n = 1, Cn = if n = 2, 8. Cn-1.…

A: As per the question we are given a piece-wise defined sequence (cn) and we have to find a closed…