2. Find a formula for the sequence given by Xn+1 4.xn - 5xn-1 + 2xn-2 n 2 2, with xo = 2, x1 = 7 and x2 15.

Q: Find the nth term of the sequence 1 1 11 1 1 7 ' 15 All of these 1 an 2n - 1 O a 1 n+2 1 an 4n - 1

A: The nth term of a sequence is a general formula that helps us to find any term of the sequence.

Q: For the sequence (5) find the value of m E N , given that Ɛ = 2n %3| e 10

A: Given sequence an=12n, ε=1e10 Let n>m an-am=12n-12m=12m-12n  n>m⇒ 2n>2m⇒12m>12n…

Q: 2. Find the general term of the sequence: 2'5 3- 2n 3n-1 3n a. C. d. b.

A: By assuming the values of n and checking with options we will get the answer

Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =

A:

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

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Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

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Q: For the sequence defined by: 4 +4 An An +1 Find: a2 %3D a3 %3D

A:

Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу

A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.

Q: For the sequence defined by: a1 = 2 1 + 2 an an +1 Find: %3D a4 -

A:

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: Find a formula for the nth term of the sequence. 1 1 1,- 7.9 16 25 (reciprocals of squares with…

A: we have been given the series  1,-14,19,-116,125 which can be written as  112,-122,132,-142,152

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: What is the sum of the sequence E(1+k!) R-0

A:

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

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Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: Suppose Suppose a, = 3n? – 3n – 3. Find a closed formula for the sequence of differences by…

A: Given, an = 3n2 -3n +3  We have to find an-an-1

Q: Find the explicit formula for the geometric sequence Cn with the following information given. c1 = 2…

A:

Q: Find a formula for the general term an of the sequence 5 3 4 16 25 where a1 3 16 1* 36 49 , •.. an

A: The given sequence,      -316, 425,-536,649,.......

Q: 4. The same strategy from the previous page can be used to find specific entries. Given the function…

A: 1. the given sequence is 3,6,9,12,... It can be seen that the sequence is…

Q: Find the sum of the sequence. I (k° +4) k=1

A: Given sequence is

Q: The limit of the sequence Zn = Arg(-i + ) is equal to Select one: C. 2 -3T d. 2

A: See the solution in the given fig.

Q: Find a formula for the nth term of the sequence. - 6, - 4, - 2, 0, 2, . (every other integer…

A:

Q: n2 is, 3n-1 th The 4" term of a sequence whose nth term an= - 16 Od. 11 9 16 None a. 8 Ob. 11 Oc.

A: We have to find 4th term of a sequence whose nth term is given as: an=-1n+1n23n-1 To find 4th term…

Q: Which of the options is correct for the following sequence: 4n

A: here last option is true because if be put n=1 than value is 1/4  and take limit at n->infinite…

Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: First three terms of the sequence

Q: Assume "t*1*" represents the first term of a sequence and "t*n*" represents the nth term. What is…

A:

Q: You may assume that 1, 1, 2, 3, 5, 8, ... has generating function 1-x – 2² (because it does). Use…

A: In the problem, it has been given that 1,1,2,3,5,.... has a generating function 1(1-x-x2) When we…

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: For the sequence defined by: 3 1 – 4 An An +1 = - Find: a2 = a3 %3D

A:

Q: Find the 8th term of the sequence 00 8 + n n=1

A: SOLUTION-

Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

A:

Q: Use iteration to guess an explicit formula for the following sequence - dz = 5dr-1 + 3, for all…

A: Given dk = 5dk - 1 + 3, ...... (1) dk - 1 = 5dk - 2 + 3 ......(2)

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: The nth element of the following sequence – 1, 2, –4, 8, ...is А. (-1)" 2ª-1 В. 2п-1 С. 2n D. None…

A: We will solve the sequence { an } to get an explicit formula for an .

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: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

A:

Q: DETERMINE THE FIRST FIVE TERMS OF EACH DEFINED SEQUENCE, AND GIVE THEIR ASSOCIATED SERIES. 1.…

A: As per our guidelines, we can answer only first three sub-parts of a question. Kindly re-post the…

Q: Find the first four terms in the sequence. 2" 3) а a 2n + 1

A: solution.

Q: The sum, Sn, of the first n terms of the sequence is given by the formula Sn =______ , where a1 is…

A: The sum, Sn, of the first n terms of the sequence is given by the formula Sn = a1(1-rn)(1-r)

Q: Find an expression for the n th term (t) in each of the following sequence: 1 1 1 1 1 >... 3 4 5 6.…

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Q: Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

A:

Q: » calculate: The limit of the sequence a, = 2n n+1

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

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Q: SHOW YOUR SOLUTION DETERMINE THE FIRST FIVE TERMS OF EACH DEFINED SEQUENCE, AND GIVE THEIR…

A: Given, The nth tems of the sequences {3n+1} {n²-1} an=an-1+1 , a1=5 an+1=3an , a1=1 Let's assume…

Q: The first few terms of a sequence are: 8 8 8 8 8 {an} 3' 9' 27' 81’ 243 8. Assuming this pattern…

A:

Q: The nth term of the sequence -2,0-2,0 -2,0, is ... Select one: a. (-1)".2-2 O b. (-1)" +1.2-2 O c.…

A: Consider the sequence-2,0,-2,0,-2,0,............

Q: What would be the 31st term of the sequence x?,x, 1.. .... ..... .... A. x28 1 В. x26 1 C. x28 1 D.…

A: The solution are next step..

Q: 2. Find the indicated term of a sequence. 4n %3D 2n -3

A:

Q: Suppose Suppose a,= n2 – 2n + 4. Find a closed formula for the sequence of differences by computing…

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Q: Determine whether the sequence {5n−7 / 3n+4} is increasing, decreasing, or neither.

A: