For the sequence an = an – 1+ an – 2 and 1, a2 = 2, ai its first term is| 1 its second term is 2 its third term is its fourth term is its fifth term is of

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

Q: For the sequence an = an-1+ an - 2 and a1 = 1, az = 2. its first term is its second term is its…

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: Given the recursive sequence ak = (12-06-1) ² - 1 ak-1 -k² + 1 for all k ≥ 1, and a₁ = -4, find a₂…

A: As per the guidelines I am answering only first question. Also note that while uploading for the…

Q: Consider the recursive sequence a,+1 (a,)? + 5) with a,-3. f1<a,<5, then the sequence (a,) is O A.…

A: By finding some terms of the sequence we can identify the sequence is increasing or decreasing. then…

Q: Suppose that a sequence is defined as follows a1 = -2,   an = -3an-1 +7 for n> 2 list the first 4…

A:

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: For the sequence an=an−1+an−2an=an−1+an−2 and a1=3,a2=4a1=3,a2=4, its first term is its second…

A: an = an-1 + an-2,     a1=3,  a2=4 We will use this equation repeatedly with different values of n

Q: For the sequence an = 2(an- - 2) and a1 = 3, its first term is its second term is its third term is…

A:

Q: list the first five terms of the sequence defined recursively by a1 = 2 and, for n>= 2, an =…

A:

Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

A:

Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: For the sequence an an –1+ an – 2 and a1 = 5, az = 6, = | its first term is its second term is its…

A: Given : The sequence an = an-1 + an-2 To find : First term, second term, third term, fourth term,…

Q: For the sequence an = 13 + ( – 1)", its first term is its second term is its third term is its…

A:

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: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 12…

A:

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 3…

A: we have been given recursion formula : an = 4an-1 for n ≥ 2 a1 = 3  we have to write the first four…

Q: Find an explicit (non-recursive) formula for the sequence 2an 6an-1 = 0, a1 = 5. %3D -

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 4…

A: Given recursion formula, an=2an-1+3 for n≥2 a1=4

Q: For the sequence an = an-1 + an 2 and a₁ = = 1, its first term is 1 its second term is 1 its third…

A:

Q: For the sequence an = 10 +(– 1)", its first term is its second term is its third term is its fourth…

A:

Q: Find the 5th term of the sequence with formula an+2=2an+1 + an where a1=1 AND A2=1

A:

Q: Find the first 4 terms of the recursively defined sequence. a =3, a2 =4, an +1=an + an-1

A: Topic- recursive sequence A3 =7

Q: For the sequence an = An –1+ an – 2 and a1 = 3, az = 4, its first term is its second term is its…

A:

Q: We define a sequence by b = 1, b2 = 1, and b, = 2bn-1 + bn-2 for n2 3. Use strong mathematical…

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 12…

A: Given: an=an-1+4, a1=12 For finding first four terms of given sequence, we put n=2,3,4,5 in given…

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: Suppose An = 2n^2 + 6n + 6. Find the closed formula for the sequence of differences by computing An…

A: As per our question, we need to find the closed form of an-an-1×an-an-1 First find an-1 and then…

Q: For the sequence an = an –1 + an – 2 and a1 = 3, a2 = 4, - its first term is its second term is its…

A: Given sequence is an=an-1+an-2 and a1=3 , a2=4

Q: Consider the sequence x + 3, x + 7, 4x − 2, . . . . . . . . . . . . . (a) If the sequence is…

A: You have asked more than one different question. As per the guidelines we will solve first question…

Q: Find the nth term of the sequence. 11. а6 = = -73 -38 and a11 12. аз 3D 19 аnd a15 = -1.7 13. a5 =…

A:

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

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: 2. Find the first five terms of these recursively defined sequence. a1 = 2; an+1=3an-5

A:

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 5…

A: Given that, an=3an-1-1a1=5

Q: Find the first six terms of the piecewise sequence: S(- 2)" – 3 An | 3n -1 - 4 if n is even %3D if n…

A:

Q: For the sequence an = an -1+ an-2 4, az = 5, its first term is its second term is its third term is…

A:

Q: For the sequence a, = 1+(- 1)", its first term is its second term is its third term is its fourth…

A: an = 1 +(-1)n Generally sequence starts from n = 0.First term n = 0a0 = 1 + 1 = 2Second term n =…

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

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 3…

A: a1=3 , an=4 an-1

Q: Consider the sequence 1 4 4' 5' 6' 7 1 2 1 2n-2 1 0, ... a2n-1 a2n 3 2n-1' 2n Which of the following…

A:

Q: Find the generating function of the sequence Un = n2

A:

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 7…

A: a1=7  &amp;  an=an-1+5  for  n≥2 When n=2, a2=a2-1+5⇒a2=a1+5⇒a2=7+5⇒a2=12 When n=3,…

Q: Use the graphs of the arithmetic sequences {an} and {bn} to solve:If {bn} is a finite sequence whose…

A: Consider the following graphs of the sequences an and bn. From the above graph the sequence obtained…

Q: For the sequence an = ат — 1 + аm — 2 and - - 3, а2 4, a1 || its first term is its second term is…

A: Given   an = an-1+ an-2  a1= 3, a2= 4  Find  1) first term 2) second term  3) third term  4) fourth…

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

A:

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.