3. Which of the following is a geometric sequence O 30, 15, 0, -15,.. O 3, 9, 27, 81,..

Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next…

A:

Q: Suppose that a sequence is defined as follows. a = 3, a, = -4a,-1+6 for nz 2 List the first four…

A: If given nth term of the sequence and also given first term of the sequence  then we can find…

Q: Which of these represents the sequence: 36, 30, 24, 18, ...? O an 36+6n O an = 36 – 6n O an = 42 –…

A: The expression for the nth term of arithmetic sequence is: an=a1+n-1d Where; a1 is the first term, n…

Q: 13. Which of these is an infinite arithmetic sequence? O {845, 169, 33.8, 6.76, ...} O {232, 354,…

A: If the arithmetic sequence is: a, a+d, a +2d, a+3d, ..... Where 'a' is the first term and 'd' is the…

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: 13. Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, ...} O am = 19+ (n-…

A:

Q: Which of the following degree sequences could be the degree sequence of a tree? O A.…

A:

Q: Which of the following is a degree sequence, if there exists a graph Options O 2, 2, 2. 2, 2 5, 5,…

A: The degree sequence of a graph is the sequence of degree of vertices, in ascending order, with…

Q: 40. Find a, andr for a geometric sequence given that az = 18 and a = 486.

A: Given: a3=18    a6=486

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

A:

Q: Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for your…

A:

Q: What is the recursive formula for the geometric sequence 2, 6, 18,54, O A an 3, if n = 1 3- a, if n…

A:

Q: 4 Which of the following sets represent an arithmetic sequence? A{-5, - 2, 1, 4, 7,...} B {2, 5, 9,…

A:

Q: How would you classify the sequence 28,21, 15, 10, 6, ... .? ...... A. Arithmetic Series B.…

A: Difference between terms is equal So this is arithmetic series.  Option A is correct

Q: Find the formula (nth term) of the sequence 7, 10, 15, 22, 31, .. . O an = (-2)" O an = (n-5)/4 an =…

A: As per company's guidelines, we are supposed to solve first question for you, kindly repost other…

Q: 1. How many terms are there in an arithmetic sequence where a̟ = 12,an = 60 and d = 8? %3D

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 35 (b) (5+7k) = k=D1

A:

Q: 7 Find the explicit formula for the given sequence. 2, 8, 32, 128, . (A 33 · 4"-1 a = = 2 · 4"-1 a ©…

A:

Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

A:

Q: 4. What are the first five terms in the recursive sequence defined by the following? a1 = %3D an =…

A: If you have given a recurrence sequence and given first term then using first term in the recurrence…

Q: 4) Find x if the sequence 3, 6, 2x+5, is a) arithmetic b) geometric.

A:

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

A:

Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

Q: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

A:

Q: If {8,11, 14, 17,.....} is the given arithmetic sequence, then the common difference d = O 3 -8 -3 O…

A: The given sequence is                                 {8,11,14,17,.....}     The first term of the…

Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

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: 1 The following sequence is geometric: a, = 8, and a,=--a, , for n = 2, 3, 4, ... %3D O True O False

A: The given sequence a1=8 and an=-16an-1 for n=2,3,4,......

Q: 1. What are the next three terms of the sequence shown below? 3,–6, 12, –24, .. 2. Evaluate: 4 3 Σ…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: 10. Which set is an example of a harmonic sequence? 1 1 1 1 a. 2 57 2 1 1 1 1 b. 2'4'6'8 1345 С. 2'2…

A: Topic = Sequence Correct option = b

Q: Which of the following sets is NOT a geometric sequence? a. 22,2,2°2-1 1 1 1 1 5. 2'6'18'54 1, 0.5,…

A:

Q: de if the sequence is arithmetic, geometric, or neither. 1, 4, 9, 16, ... 14) 10, 3, -4, -11, ... 2,…

A:

Q: 5. Write down the first five terms of the sequence given by (-1)"+1 an = Determine the following.

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

A:

Q: 1 n(n+1)

A:

Q: Given the following three sequences:   I. 2,4,6,8,10...2,4,6,8,10...  II.…

A: We need to identify which of the given sequences are arithmetic in nature

Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

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

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

Q: Find the explicit formula for each of following sequence: a) -31, -14, 3, 20, 37, 54, ... b) 1/5,…

A: Definition of Explicit formula:      An explicit formula directly calculates the term in the…

Q: Which one of the following sequences is a geometric progression? 3,6,12,24,48,. O 1,4,9,16,25,. O…

A:

Q: 17. What is the first 5 terms of the sequence? Assume that n begins with 1. 1. an = 10 (-)" [A] 10,…

A:

Q: 15. Write the first five terms of the sequence. an 3 2 а. 4 16 32 3 9' 27 81' 243 4 8 16 32 3: 9 27'…

A: The explanation are as follows

Q: 1 Give the first five terms of the sequence: 2 4 5: a, = ,-2 · an-1 (for n 2 3) %3D 5' 42 =

A: Given sequence is: a1=25, a2=45; an=an-2.an-1       (for n≥3)

Q: Write the first five terms of the sequence given by an = 2 ^n/n!, Begin with n=0

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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: 5. If {un} is a geometric sequence, U̟U6 64, uz + u7 = 34, find un %3D

A:

Q: What are the terms ao, aj, a2, and az of the sequence {an}, where an equals b) (n + 1)"+l? d) [n/2]…

A: a. an=2n+1. The terms become a0=20+1=1; a1=21+1=3; a2=22+1=5; a3=23+1=9 Therefore, the terms of the…

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.