Find an explicit formula for the following sequence, a, which starts with a 3 5 7 9 2'4'6'8' Select the correct answer below: 2n 1 2n 2n-1 n+1 2n+1 n+2 An 2n41 n+1 n+2 2n 2n 1 2n ||

Q: Q1/ is the sequence {a,) converge > sin n

A: We have to find given sequence is convergent or not .

Q: Q3. Find the sum of the following series 1 1 n=3 'n²-4 зп-1.

A:

Q: Evaluate the following and determine if the sequence {a,} converges or diverges 20n2 5n +1 - an %3D…

A: Given,

Q: Find the explicit formula of the following sequence. {8, 4, 2, 1, ..} f(n) = a1 ·3"-1 a f(n) = a1 ·…

A:

Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

A:

Q: 1. Find these terms of the sequence (a,), where a, = 2 (-3y"+5". %3D b) a c) as d) as a) do

A: .

Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a1 = 4…

A: Question- Find an explicit formula of  an   for the nth term of the geometric sequence whose first…

Q: 2. Use the given nth-term formula to compute the first 10 terms of the sequence. n a. an = а. Зп+1…

A: Given  a. an=n3n+1 b .an=5n+73 c.an=3n2+2n

Q: As n increases, the terms of the sequence:get closer and closer to the number e (where e ≈…

A: Substitute 10 for n in the expression to calculate the value of a10.

Q: Find a closed form solution for the following recursive sequence: An :4an-1+5 for n > 1 with the…

A:

Q: Find the sum of the following series: 00 7. n² (-3)" n=1

A: See solution below

Q: tk = tk−1 + 3k + 1,

A:

Q: Which of the following formula is the general term of the sequence a. (n+1)* O b. (–1)"+1, (n+1)*…

A: The solution is given below

Q: Suppose that we start with the sequence 1 1 1 1 1 1 '2'4'8'16'32'64' If we denote the above sequence…

A:

Q: Given the following sequence, provide the (unsimplified) sum of the first 20 terms: -2, 3, 8, 13,…

A: given sequence is :                                       -2, 3, 8, 13...  we have to find sum of n…

Q: Find first 5 terms of the following sequence: {an} given by a, = (-1)" („ 3n-2 n2-2n+3 99 Evaluate:…

A: First five terms of the sequence an=(-1)n(3n-2n2-2n+3) at n =1  a1=-3-21-2+3=-12 at n =2…

Q: Find the closed formula for each of the following sequences (a,)n21 by relating them to a well known…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Find the sum of each of the following series.

A:

Q: Find a closed form solution for the following recursive sequence: An-1+ 3n + 1 for n > 1 with the…

A:

Q: For the following sequence, give an explicit formula for the nth term. a1=6 an=−5an−1 for n≥2

A: We have to find nth term

Q: Suppose that the sequence (c,) converges to -1. Which of the following sequences converges to 2…

A:

Q: 3. Find a formula for the sequence given by In+1 = Xn+ 8xn-1 – 12xn-2 n > 2, with ro = -4, 1 = -3…

A: Let 2nd order homogeneous difference equation is given by,…

Q: Match the sequence with the given nth term with its graph. 10n n + 1 an an 10 8 1+ .. 6. 2 4 6 8 10…

A:

Q: Consider the following sequence. n- 1 %3D Sn n + 1 (a) Find the first three terms of the sequence…

A: We can find the values using the given formula as below

Q: Use the difference a+1 – an to show that the given sequence {a, } strictly increasing or strictly…

A:

Q: 2. Find a formula for the sequence given by In+1 = 4xn – 5xn-1+ 2xn-2 n > 2, 5xn-1+ 2xn-2 n> 2, with…

A: We have  xn+1=4xn-5xn-1+2xn-2   n≥2    ...(i)x0=2,x1=7  and x2=15characteristic equation of (i) is…

Q: One of the following sequences is strictly increasing n! nn I n=1 {ne"} 00 n=1 {ne" }1 10" (2n)! n=1

A: We have to solve

Q: Which of the following sequences is strictly decreasing n+ 2 S =1 n+ 2 00 {-1)" 1n+ -1

A:

Q: Find a formula for the nth term of the following sequences: (a) +, 긍,,.. -1 1 > 8 > 27 An = (b) 를,…

A:

Q: Find the nth term of the sequence 1 1 1 .... 3'7 11 15 O All of these 1 O an 2n - 1 1 O an n+2 1 O…

A:

Q: Consider the following sequence. + 1)2 %3D (a) Find the first three terms of the sequence whose nth…

A:

Q: 1) Consider the sequence defined as follows: so = 2, %3D 81 = 5, and for all n > 1, Sn+1 = 5sn –…

A: We will answer the first question and please resubmit the other question separately with complete…

Q: Consider the following sequence: {a,) = {n – n²} Sn=1 Use an+1 - An to show that the given sequence…

A: Calculus   sequence

Q: The first term of a sequence is x1 = 1. Each succeeding term is the sum of all those that come…

A:

Q: Find the first six terms of the recursively defined sequence Sn = 38n-1 +1 for n > 1, and s1 = 1.…

A:

Q: Find the explicit formula of the following sequence. {8, 4, 2, 1, ...} f(n) = a, · 3n-1 a

A:

Q: Q3. Find the sum of the following series 1 n²-4 3n-1

A: The givens series is: ∑n=3∞1n2-4+13n-1 Which is sum of to series. That is:…

Q: Match the sequence with the given nth term with its graph. 10n %3D n + 1 10 2- 8 4. 主十 2 4 6 8 10…

A: topic - sequence and series

Q: 1. 3n+1 3. n2 + 5n + 6 3-2п 2. 4. (n – 1)? | n+1

A:

Q: 1 2 Which of the following formula is the general term of the sequence - 28 65 a. n+1 b. (2+1) O c.…

A:

Q: Q3. Find the sum of the following series 1 1 En=3 n²-4 зп-1

A:

Q: For the following sequence, give an explicit formula for the nth term. aj = 6 %3| An -5a,-1 for n >…

A:

Q: 1. Which of the following represents an explicit formula for a given sequence? 1. A(n) = 2 A(n − 1)…

A: The explicit formula for a sequence will depend on n. A recurrence sequence will depend on preceding…

Q: Find the explicit formula of the following sequence. {8, 4, 2, 1, ...} a. f(n) = a1 ·3"-1 b. f(n) =…

A:

Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly…

A: The given sequence is; {an} = n/(3n-2).

Q: Which of the following sequences is strictly decreasing n+15 n-1 O None {(-1)"}}", 00 72 in+1 S-1

A: Sequence 1/(n+1) is strictly decreasing sequence