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…

A:

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, ⋅ ⋅ ⋅}.

A:

Q: Find the first four terms of the following recursively defined sequence. b-1+ 7k, for each integer k…

A:

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: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each…

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,...…

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

A:

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

A: Given a1=7 and an=an-1+1

Q: Find the first 4 terms of the recursively defined sequence. a1=4, a 2 = 5, an+1=an+ an-1

A:

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

A:

Q: Find an explicit formula for the arithmetic sequence Cn that is given below. Note that C1 = -2.…

A: you can clearly understand if you follow the below solution

Q: . Recursively, find the missing term of the arithmetic sequence with the following given that a₁ =…

A: We have a1=5 , a2=11 , a7=? . To find the 7th term of the given arithmetic series .

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

A:

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

A: Thank you 😊

Q: 5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46.  Which of the following is the value…

A: Given problems  5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following…

Q: The sequence is defined recursively. Write the first four terms. a₁ = 5; anan-1-5 A. a₁ =5, a₂ =2,…

A:

Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: Write an explicit formula for the sequence: 6 - 1' 7- T 8 9 - x 10 - * 7' 12 + 1' 18 + 12' 24 + ' 30…

A:

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

A:

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

A:

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

A:

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.

Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .

Q: Which recursive sequence would produce the sequence 4, 15, 59, ...? a1 = 4 and a, = 5an-1 – 5 a1 = 4…

A: NOTE: Refresh your page if you can't see any equations. . the first term is  the second term is…

Q: Write the first five terms of the sequence defined by the recursive formula: an= -3an-1 +5 If an =…

A: given an=-3an-1+5if an=2