Which of the general terms listed describes the sequence below? 8, 5, 2, -1, -4, ... a) tn = 3n -11 b) tn = 3n -8 c) tn = -3n +11 d) tn = -3n +8 e) None of listed options

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

A:

Q: Determine the first 3 terms of the given sequence. = An-1 · 3; Ao = 4 An %3D

A:

Q: Construct a difference table to predict the next term of the sequence. −1, 4, 23, 60, 119, 204,…

A: To construct a difference table to predict the next term of the sequence. −1, 4, 23, 60, 119, 204,…

Q: The first eight terms of a sequence are as follows: 2, 6, 12, 20, 30, 42, 56, 72, Find a closed…

A:

Q: Can you find a formula or rule for the nth term of a se- quence related to the prime numbers or…

A: The formula for nth term of sequence for given problems are given in step 2.

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: 5. Find the first five terms of the recursively defined infinite sequence: а, %3D 2, а, %3D5 & a,…

A: a1=2, a2=5 and ak+1=9ak-4ak-1

Q: The general term of the sequence 1, 2' 4'8' - , starting by n=0 is +00 n=0 +00 (ii n=0 (iii)None of…

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

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: 9. A sequence is defined by the rule a, = +n with a, = 20. Find the value of a, %3D

A:

Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: What are the first five terms in the recursive sequence defined by aj = 2 a2 = 3 An = an-2 an-1? O…

A:

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 7 8 9. 10

A:

Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

A:

Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 00 are: The five first terms of the sequence {4n – 1},-1 O3 O 3+7+11+15+ 19... O 3,7,11,15,19,... O…

A:

Q: what is n^th element of the following sequence -1,2,-4,8

A:

Q: Construct a difference table to predict the next term of each sequence. 9, 4, 3, 12, 37, 84, ...

A:

Q: The first four terms of the sequence defined by an = nan 1+En'a, 2, ag = 2, a, = 6 are O ao = 2, a1…

A: Note:- For given problem Either options are wrong because according to problem a2=6 but in option…

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: Find a formula for the general term anan of the arithmetic sequence (starting with a1a1):…

A: First find the common difference of the given arithmetic sequence than put in the formula for nth…

Q: 1. Give the first five terms of the sequence with the given general term. a. a, = 3n+4 %3D b. а,…

A:

Q: The sequence 2, 6, 24, 120, . . .  is an example of a geometric sequence.Determine whether the…

A: Consider the given sequence 2, 6, 24, 120,.....

Q: Construct a difference table to predict the next term of the sequence. 1, 8, 20, 37, 59, 86, . ..

A:

Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…

A:

Q: Find a fomula for an given the few terms of the sequence. 1/2 , 1/4 , 1/8 , 1/16 , ....

A: We can solve the problem by obtaining the nth term of the sequence.

Q: use a difference table to predict the next term of each sequence. a. -2, 2, 12, 28, 50, 78, ? b.…

A: -2,  2,  12,  28,  50,  78,  ? The first differences are, 2--2=412-2=1028-12=1650-28=2278-50=28 The…

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

A:

Q: What is the explicit rule for the nth term of the geometric sequence? 3, 18, 108, 648, 3,888, O an =…

A:

Q: Which sequence could be described by the recursive definition: An+1 = 3 · a,n – 1? – 1? - {2, 5, 14,…

A: Given an+1=3·an-1 we have to find a sequence which could be describes as recursive

Q: The first four terms of the sequence defined by An = nan-1+n'an-2, ao = 3, aj= 5 are ao = 3, a1 = 5,…

A:

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: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

A:

Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

A:

Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

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: Find an explicit formula for the general term  an  of the sequence. 1, −  1 3 ,   1 5 , −  1 7 ,…

A: We have to find the formula of general term.

Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O…

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

Q: The first four terms of the sequence defined by an = nan 1+n'a, 2, ao = 2, a1 = 6 are %3D O ao = 2,…

A:

Q: find the speafied geometric sequence. 9, = 20, a term of the 135 %3D %3D 16 a3=?

A:

Q: A test question lists the first four terms of a sequence as 2, 4, 6, and 8 and asks for the fifth…

A: Given sequence is: 2,4,6,8, Here we observe that: 4-2=26-4=28-6=2 Thus, we observe that each…

Q: Which recursive rule describes the sequence 3, 7, 11, 15, ... ?

A: First we have to find out 1st term and common difference.

Q: Which sequence could described by the explicit definition: t, = 2· n - 3? {5, 7, 11, 19, 35, ...} O…

A: Given, tn=2·n-3we have to tell which sequence could described by the explicit definition:

Q: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

A:

Q: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

A:

Q: on 6 mula for the general term a,n of the sequence assuming the pattern of the first f {7, 12, 17,…

A: We have to find the nth term according to the given sequence

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.