Define the following sequence recursively, giving two instructions in mathematical language. {3, 6, 9, 12, ..} a1 = 3, an = an-1+ 3,for n2 2 b a1 = 3, a, = an-1+ 2, for n 2 2 a1 = 3, an = an-1+ 4, for ns 2 O d a1 = 3, a, = an-1- 4, for n2 2

Q: What are the next two numbers of this sequence 9, 16, 23, ___, ____ and what is an expression for…

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Q: The 11th term in the sequence 1/6, -1/2, 3/2, -9/2, ...... can be written as ______?

A: Given geometric series,       16,-12,32,-92,.....

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: Construct the explicit formula of the sequence -12, 12, -12, 12, -12,...

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Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

Q: Give the first four terms of the following recursive sequence. Clearly show plug-in steps and/or a…

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Q: I am trying to confirm my answer for a recursive sequence homework problem at University. I need to…

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Q: Find an explicit formula for a sequence of the form a, a, a, 4, 8, 16, 32, 64, 128, 256 I an = with…

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Q: a. A1) = 22, An) = An-1)+4 O b. (0) = 18, An) = An-1)+4 for 1 sns18 O c. Kn) = 18 +4n d. An) = 22…

A: Number of rows = 18 Let n represent the row number and an denote number of seats in a row given,…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

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

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a₁ = n + 5 O 273…

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Q: Write the first five terms of the recursively defined sequence. a1 a2 аз a 4 a5 = = = || ။ = a₁ = 6,…

A: Thank you 😊

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: erms a1, a2, 43,., IS deni an = 2", for n 2 1. The sequence B, with terms b1, b2, b3, .., is defined…

A: Given :-  The sequence A , with terms a1 , a2 , a3 , ..... are defined by  an = 2n for n ≥ 1. The…

Q: Write down the first five terms of the following recursively defined sequence. a1 3; an+1 = an +9

A: It is given that a1=3;an+1=an+9.

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: sequences, in the form t(n) = a(b)" b) 3, -18, 108, –648, .. equation

A: We will look each term closely to find the explicit equation for the sequence.

Q: can you solve and answer me asap

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Q: Find the first five terms of the sequence defined by the following recursive definition. a, = 13 an…

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Q: For the sequence {an} defined recursively by a₁ = 1, a2 = 1, An+2 an+2 +an+1 for n > 2 Write a 44

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Q: Write the first five terms of the sequence defined recursively. a₁ = 5, ak+1 = 4(a-3) ak+1 a₁ az 33…

A: We will find the required.