State the limit expression to represent the behaviour of the sequence: 9 6- 10' 7 + (-1)" 2n (-1)" = 6 2n c) lim 7+ x- 00 (-1)" = 7 2n a) lim 7+ x- 00 (-1)" = 5 2n (-1)" b) lim 7+ d) lim 7 + = 4 2n X- 00 X- 00

Q: -n +1 lim -n2 +n +2

A: Given to find limn→∞-n2+1-n2+n+2n

Q: Find the limit of the sequence with the given nth term.  an = 6 + 2/n2

A: Given sequence is an=6+2n2. If ∑n=1∞an converges, then limn→∞an=0.

Q: 19 17- -(9n+1) (9n

A:

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

A:

Q: 1 4. (2n)" 5. 3"-1 n(n+1)(n+2) 6.

A:

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

A:

Q: List the first 10 terms of the sequence whose nth term is 3 raise to n − 2 raise to n.

A: Given  Sn=3n-2n

Q: Find the limit of the sequence. 4n2 a 2 n* + 3

A:

Q: Find the 11th term of the harmonic sequence1/5,1/8/1/11,1/14,. . .

A: harmonic progression is 1arithmetic progression the given series has a pattern of = 13+previous term…

Q: Find the limit of the sequence whose terms are given by: a-sub-n = (n^2)(1 - cos(6/n))

A:

Q: a. 2, 8, 26, 80, 242 b. 1, 2, 3, 4, 5 c. 1, 3, 9, 27, 81 d. -1, 2, 8, 26, 80

A: First five terms of the sequence defined over the natural numberswith the explicit function…

Q: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

Q: Find the limit of the sequence as n approaches infinity: 3n - 5 an Зп + 4

A: Given,            an=3n-53n+4To find: The limit of the sequence as n approaches infinity.

Q: Find the limit of the sequence with the given nth term an = (n + 1) /n

A: an = (n + 1) /n We need to find the limit of the given sequence.

Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: What is the exact value of the limit of the sequence -n^3/(n^4+1)?

A: To determine the value of the limit.

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

A:

Q: Suppose you know that  {an} is a decreasing sequence andall its terms lie between the numbers 5 and…

A: Given: {an}is a decreasing sequence & all the terms of sequence lies between 5 & 8. To…

Q: Find the limit of the sequence 14n2 – 8n – 7 1 18 – n + 7n² . - - - n=1

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Q: ? 2 - n + 5n3 ? lim -6n³ – 3n + 4 lim ?

A: To find the limit, just I have taken common the highest degree term from numerator and denominator…

Q: What are the first five terms of the sequence defined over the natural numbers with the explicit…

A:

Q: what notation is used in sequences and functions?

A: To define: Notations used in sequences and functions.

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: aj = -1 and an V(- 2an-1)² + 1 for n > 2

A:

Q: What is the explicit formula for the sequence if at 8 am a hospital patient has 100 mg of a…

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Q: Find the limsup and liminf of the following sequence: sin (2) а) аn = n

A: Here we have to find the limsup and liminf of the given sequence an .

Q: Find the limit inferior and limit superior of the sequence {[5 sin n]}.

A: The given problem is to find the limit inferior and the limit superior for the given sequence of {[5…

Q: Write the first five terms of the sequence with the given nth term. = sin 2 %3D 4. 5.

A: To write the first five terms of the sequence with the given nth term.an=sinnπ2

Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: Find the limit of the sequence with the given nth term.

A: To find the limit of the sequence whose nth term is an=6+2n2

Q: Determine if the sequence converges or diverges…

A:

Q: Supposed vn =17-n2  is the explicit specification for a sequence. How many values of n (positive)…

A: Given: Vn=17-n2

Q: {sin ()} 2

A: Given sinnπ2

Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n}-1 n=1 Determine whether the sequence…

A:

Q: B f(1) = 4 f(n) = f(n – 1) – 0.25 for n > 2 %3D - - f(n) for fin) 4 3

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Q: Find the limit of the sequence: (;), ÷ (; + -), ; (; + +), E (E )..

A: We have 1112, 1223+24, 1334+35+36, 1445+46+47+48, ... We need to find the limit of this sequence.…

Q: Determine the limit of the sequence defined below. an 13 n+5 If the limit does not exist, enter Ø.…

A: limn→∞-113nnn+5 =limn→∞(-1)n113nnn+5 let n is even (-1)n=(-1)2m=1 L=limn→∞113nnn+5=0*1=0 let n is…

Q: If the sequence ~ 9- an - 3 :} converges to 6, then the sequence {an} converges to 9.

A:

Q: Find the limit of the sequence whose terms are given by 4.9 1 Cos In =

A: Let's find.

Q: 1 7. /2n 8. n-2" n+3 9. n(n+1)(n+2) 10. V3n-1

A:

Q: lim n-78 √√3n+2 3ntz 1 h

A:

Q: Solve for the Collatz sequence when C (0) = 16 using 3x + 1 sequence

A:

Q: Find the limit of the sequence with the given nth term. 7n + 1 an 7n

A: Given: an=7n+17n

Q: Find the limit of the sequence whose nth term is an = (1+1/ n)n .

A: We have to find the limit of the sequence whose nth term is: an=1+1nn Finding limit of the sequence,…

Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

A:

Q: determine the limit of the sequence or show that the sequence diverges.

A: Given sequence,

Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

Q: Find the limit of the sequence. 3n2 an n2 + 9

A: an=3n2n2+9 if limn→∞an=L then the sequence is converges if limn→∞an=∞ then the sequence is diverges…

Q: Write the first five terms of the sequence, give the exact answer: +∞ n n+1 n=1 Determine whether…

A: