Consider the information below. What is the 4th term of the sequence? An = 4an-2 – 3an-1; a1 = 7; az2 = -3 %3D О а. 37 O b. -33 C. -123 d. -132

Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: D. Determine the indicated term in the given geometric sequence, 1. a (1,3, 9, ...) 2. a (2,-4, 8..)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find a formula for the general term an of the sequence (starting with a1):…

A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: Find the first four terms of the sequence given by the following. an = 38 - 7 (n-1), n= 1, 2, 3

A: Given  an= 38-7(n-1)

Q: What is the first term of the geometric sequence presented in the table below? n 4 9. 243 59,049…

A: Given a4 = 243          a9 = 59.049

Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: Find the first four terms of the sequence given by the following. a=57-7(n-1), n=1,2, 3...

A:

Q: Consider the following arithmetic sequence. 11 3, 꼭, 8, (a) Identify d and a1. d a1 = (b) Write the…

A: The given sequence is 3,112,8,…. a) The above sequence is a arithmetic sequence with first term a1=3…

Q: Find these terms of the sequence (a where an=2-3)"5"

A:

Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

A:

Q: a Identify the type of sequence presented in the table. b. Write an explicit Formula for the…

A:

Q: Identify the 9th term of the given geometric sequence. 1 3 9' 27' 81 a. 6561 b. 6561 C. 19683 d.…

A:

Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…

Q: 8. Give the first 3 terms of the following geometric sequence and the n" term, a. a. a=4 andr 2 d. a…

A: Here given that                             a=4 and r=2 We have to find the first 3 terms of the…

Q: Write the first five terms of the sequence with the given nth term. 4 a, = 5 + n2 a2 = a3 %3D a5

A: Here we have to find the first five terms of sequence.

Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…

A:

Q: Find the first four terms of the sequence in which a1 = 5 and an = 3an-1 + 2 for n ≥ 2.

A: Consider the following equation: an=3an-1+2          for n≥2                        ...... 1a1=5…

Q: S) Predict the nth term of the sequence, given the first five terms. a1 = 2, az = 5, az = 10, a4 =…

A: Given: first 5 terms area1=2; a2=5; a3=10; a4=17; a5=26

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

A:

Q: - The terms of the sequence are 3 3 3 then S4 %3D 4'16'64' 256

A:

Q: Find the first four terms of the sequence given by the following. an=3 (4)^n-1 n = 1, 2. 3...

A:

Q: 03. What is the third term of a sequence given the explicit formula? аn 3 —5 + 2(п — 1) А. -5 В. -3…

A:

Q: Find the first four terms of the sequence given by the following  a n=57-8(n-1), n=1,2,3

A:

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

A:

Q: are 9. The first three terms of the sequence given by , - C. 2 4 8 3'3'3 d. 2 4 6 3 3'3 248 23.9 a.…

A: Given sequence tn=23(2)n-1. To get the first three terms we put n=1,2,3 in the given expression.

Q: How many terms are in the arithmetic sequence 7,1, –5, . , –161? .... Hint: an = a1 + d(n – 1) where…

A: The given arithmetic sequence is,7,1,-5,....,-161

Q: Find the 12th term of the sequence given: a.) arithmetic, t3 = 5, t6 =-1 %3D b.) geometric, t3 = 12,…

A: In this question we have to find the 12th terms of arithmetic and geometric sequence.

Q: 05. What is the third term of a sequence given the explicit formula? an 3 —5 + 2(п — 1) A. -5 B. -3…

A:

Q: Which of the following formulas defines an arithmetic sequence? O a) S,=18+7(n-1)(n-2) O b) s,=18+7"…

A: We know that: An explicit formula for an arithmetic sequence of nth term is denoted by, an=a1+d(n-1)…

Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

A:

Q: Consider the following arithmetic sequence. 4,  13 2, 9,    (a) Identify d and a1. d  =    a1  =…

A: Given   Consider the following arithmetic sequence. 4, 132, 9,    (a) Identify d and a1. d  =…

Q: The sum of the first n terms of an arithmetic sequence is S, = bn – 2n². Find b if the tenth term is…

A:

Q: la = 8 and an-1– 4 for n > 2

A: The solution are next step

Q: The following sequence is geometric: -3, 9, -27, 81, ... O True O False

A: Please refer the attached image for complete solution. THANK YOU.

Q: Determine the first four terms of the arithmetic sequence represented by the explicit formula an =…

A: Given, an=7(n-1)+8Here we consider n>0

Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: Find the expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

A:

Q: Find the first four terms of the sequence given by the following  a n =51+(n-1)•7, n=1,2,3

A:

Q: Find the indicated term of the sequence: an = n(3n + 1); a15

A:

Q: For Exercise, find the indicated term of a geometric sequence from the given information. 16 and r =…

A: We will use the term formula of geometric series And use n=5 in it

Q: The general term for the sequence , . is: 3n n+1 3n 3+2 n+3 n+1

A: Given:     To determine: The general term of the given sequence.

Q: Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, ...…

A: The geometric sequence is given by 45, 135, 405, 1215, 3645, ....... To evaluate : The explicit and…

Q: The attached diagram represents the first three terms of a sequence:   Assuming the pattern…

A: Given,

Q: Find the nth term to illustrate the given arithmetic sequence. 4,9 14, 19, 24,29... 15, 0, -15, -30,…

A: 2) Given sequence is 15, 0, -15, -30, -45, ... Here a=15, d=-15 The nth term formula is,…

Q: Write out the first three terms of the sequence given by a, =n² – 4n+2. ao a1= a2

A:

Q: Which of the following choices correctly completes the sequence below? 000 a. b. с. d. ОА ов Ос O D

A: Option C is correct

Q: Given the sequence , which of the following expressions identifies the general term, 1,, correctly?…

A: To find the general term fn..

Q: Consider the following arithmetic sequence. 3,  11 2, 8,    (a) Identify d and a1. d  =    a1  =…

A: The given sequence is 3,112,8. a) The above sequence is an arithmetic sequence with first term a1=3.…

Q: B. Write the last four terms before a, of the geometric sequence in which a, and r are as follows:…

A: