Let an be the n th element of the sequence 5,8,11,14,17,.., then an=d xn+c for constant values d and c. What is d?

Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

A:

Q: For the sequence defined by: a1 = 1 5 An+1 = An + 4 Find: a2 az = a4 = II

A: Topic = Sequence

Q: Express the sequence {an}∞n = 1 as an equivalentsequence of the form {bn}∞n = 3. {n2 + 6n - 9}∞n = 1

A: Given

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: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

A:

Q: Find the first five terms of the given recursively defined sequence. a,= 2(a,1 – 2) and a, = 3 %3D n…

A:

Q: Let an be the n" element of the sequence 6,12,24,48, ... then an=ar" for constant values r and a.…

A:

Q: A sequence is said to be decreasing sequence if Vn >1 2n.a O n+1 'n²³n+1·bO n+ n+1dO n+ 1

A: Given a statement

Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

Q: a1, a2, a3, . be a geometric seq is also a geometric sequence by that af, a3, až, (a) Σ (1- ). (Φ)…

A: Given ∑n=15(1-n2)

Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

Q: 2)Define the sequence: a, = (n+1)! (n = 1,2,3, ...) recursively. %3D

A: Given  an = (n+1)!

Q: Give the first six terms of the following sequences. You can assume that the sequences start with an…

A:

Q: A sequence {am} is called increasing, if an > an+1 for all n > 1. Select one: O True O False

A: We can answer it as below as per the definition of increasing function.

Q: Determine lim a,n of the sequence (an) where n00 4 – 2n + 6n² an Зп? + п — 4

A: Given sequence is, an=4-2n+6n23n2+n-4 Now, limn→∞6n2-2n+43n2+n-4=limn→∞6-2n+4n23+1n-4n2=6-0+03+0-0 […

Q: Let a sequence be defined by a, = 1, a, =1 for all n> 2, a, = an-1 +an-2 an+1 for n = 1,2,3,4 a,…

A:

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: 1) Using the appropriate formula, find the 17th term of the sequence 7, 4, 1,.... 2) If h is defined…

A:

Q: Suppose that a sequence is defined as follows. a, =7, a,=a,-1-3 for n>2 List the first four terms of…

A: The objective of the question is determine the four terms of the given sequence.

Q: Express the sequence {an}∞n = 1 as an equivalentsequence of the form {bn}∞n = 3. {2n + 1}∞n = 1

A: 2n+1n=1∞ When n=1, a1=21+1=3 When n=2, a2=22+1=5 When n=3, a3=23+1=7 When n=4, a4=24+1=9 Therefore…

Q: Choose the correct statement(s) for given sequence 2n an n2 +1

A: a sequence is converges if  limn→∞     n = finite

Q: Suppose the sequence {an} is defined by the explicit formulaan = 1/n, for n = 1, 2, 3, ⋅ ⋅ ⋅. Write…

A: Given:an=1n, n=1,2,3.........a1=?a2=?a3=?a4=?a5=?

Q: Suppose ao, a1, a2,... is a sequence such that ao = a1 = 1 and forn2 1, an+1 = n(an+an-1). Find az =…

A:

Q: Let Sn, be the sum of the first n terms of the geometric sequence 2, 6, 18, 54,.. 1. Express Sn in…

A: Given geometric sequence 2,6,18,54,...

Q: Let a sequence be defined by a, =1,a, =1. and a =a+a2 for all n > 2.

A:

Q: Let an be a sequence defined by a1 = 0 and a2 = 1 and for n > 3 an = (n – 1)(an-1+an-2). %3D

A: Here, the terms given in the series are, a1=0,a2=1an=n-1an-1+an-2 Calculate the third, forth and…

Q: Determine whether the sequence is increasing, decreasing, or not monotoni 7n – 8 an 8n + 2

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: If (an)-1 and (bn)-1 are sequences of non-negative real numbers, show tha inf{a,bn :n e N} > (inf{a,…

A:

Q: For the sequence defined by: a1 = 2 2 An+1 = an - 5 Find: az = az = a4 =

A: Given : a1 = 2an+1 = 2an - 5

Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a, +10 for n>2 List the first four terms…

A:

Q: Suppose b1, b2, ba,.. is a sequence defined as follows. Show that 5 b, for all integers n > 0. bị =…

A:

Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1.........

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

Q: (b) Let T, be the sequence of positive multiples of 13, ... .e. 13, 26, 39, ... i. Find the first…

A: The given sequence  Tn=13n:n≥1and n is a positive integer. (i) To find the first term greater than…

Q: The 8th term of the geometric 1 1 4 sequence 2 3'9' 27

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

A:

Q: how do we show that the term of the sequence U(n+1)=aUn+b is the one in the picture

A:

Q: Provide the first 4 terms of the sequence {an} = n", where n ≥ 1 {an} 1 4 = 27 Question 2 What is…

A: The solutions to the given questions are given below

Q: Let an be the nh element of the sequence 5,8,11.14,17,., then an.dxn+c for constant values d and c.…

A: What is d??

Q: A sequence {an} is defined as follows: ao = 2, a1 = 1, and for n > 2, a, = 3 an-1 – n. an-2 + 1 %3D…

A:

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: an = {-5,–1,3,7,11, ... }

A:

Q: I) Consider the sequence 4, 6, 8, 10, 12, (a) If {an} denotesthis sequence, then n=1 a1 =

A: Given the given sequence is 4, 6, 8, 10, 12, ···

Q: Show that if a and x are any two nonzero real numbers, then ,-1,,-.. is a geometric sequence.

A:

Q: The limit of the sequence an= (1+)* -- is: 3n (a) – e (b) el7) (c) e-3 (e) None a b C d e

A:

Q: e) Suppose {a,}nEN is a sequence defined by a, = (a) Show that a, = 3- an-1+ 2. (b) Find (dn -…

A:

Q: Give a recursive definition of the sequence {an}, n = 1, 2,... if: a. an=4n-2 b. an=1+ (-1)"

A:

Q: Let 3, 10, 17, 24, 31,......be a sequence. Find an expression for its nth term i.e an and find a36

A: The given sequence is 3, 10, 17, 24, 31… Let assume that n > 0 for the sequence.