Determine the limit of the following sequence: 5n-5 Un бп-6

Q: Write the first five terms of the recursively defined sequence                                a1 =…

A: Given,              a1=6              ak+1=13 ak2  Put k=1,    a1+1 = 13 a12    a2 = 13 × (6)2…

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: Find the limit of the sequence with the given nth term. n + 5

A: Given sequence is an = (n+5)/n

Q: Find the limit of the following sequence. 12 27 16' 25 48

A:

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

A: Topic = Sequence

Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

A: Given

Q: bn Уп? + 6п — п,

A: Given that the sequence bn=n2+6n-n where n∈ℕ and ℕ is the set of natural numbers. We have to…

Q: determine the limit of the sequence or show that the sequence diverges. an = √n + 5 − √n + 2

A: Determine the limit of the sequence or show that the sequence diverges. an = √n + 5 − √n + 2

Q: Find the 15th term of the following sequence. {64, 16, 4, 1, .}

A:

Q: 30. аn e4n/(3n+9)

A:

Q: For the sequence defined by: a1 = 4 - 2 an an+1 Find: a2 : = az a4

A:

Q: Find the limit of the fallowing sequence if it exists 92 = 12-2, an =/2-/2+12+2+..+2 ' n eN

A: Explained below

Q: Find S, for the following geometric sequences: 4,-20, 100...

A: We can find the required answer as below.

Q: Find the limit of the sequence, or show why it doesn't exist, an = n4-(n8-n5)1/2.

A: Given,  Sequence                     an = n4-(n8-n5)1/2

Q: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A: The sequence is: 1, -22, 34, -48, 516, ..... This can then be written as:

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: For the sequence defined by: a12 16 24 an а, +1 Find the following. No decimal entries allowed аз %3…

A: Given:

Q: Find the 7th term in the sequence with the following definition: a₁ = 64 an = an-1

A: Given.

Q: For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: what is n^th element of the following sequence -1,2,-4,8

A:

Q: For the sequence defined by: a1 =3 4 an+1= an 3D3 +1 Find: a2 = a3 =

A:

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: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

A:

Q: For the sequence defined by: a1 = 4 an +1 - + 4

A: Given,          The sequence is defined by :            a1=4            an+1=5an+4

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

A:

Q: Find a formula for the nth term of the sequence. V3. VV3. VVV3....

A: We write a few first terms using exponents.

Q: Find the general term of the following sequences.

A: The general term of the sequence is obtained by observing the sequence and see how the pattern…

Q: For the sequence defined by: a1 = 2 5 An+1 = an - + 4 Find: a2 = az = a4 =

A: Find the values of a2 a3 a4

Q: Determine if the sequence is monotonic and if it is bounded. n! 5n

A:

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

A:

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

A:

Q: Find the limit of the sequence defined by an n + 1 %3D 4"

A: The given sequence an=n+14n

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: Find the term a4 for the sequence defined below:           a1 = -2                   an = 5an-1…

A: Given The given expressions are an=5an-1+10 and a1=-2.

Q: Write Hhe first 3 terns For this recursively defined sequence

A: The solution is in step 2

Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

A:

Q: Find the limit of the sequence with the given nth term. Зп + 8 an 3n

A:

Q: Determine if the sequence is monotonic and if it is bounded. (2n + 8)! an n21 (n + 4)! '

A:

Q: Determine the first five terms of the sequences whose general term is given by the following…

A: We have to find five terms of problems (a) and (b).

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

A:

Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

A: If {an} is an increasing sequence or {an} is a decreasing sequence we call it monotonic If a…

Q: n! %3D an 2n

A: We have to check weather the given sequence is increasing, decreasing and neither in nature.

Q: find, in terms of n, the general term of the quadratic sequence: 2, 7, 17, 32

A: find, in terms of n, the general term of the quadratic sequence: 2, 7, 17, 32

Q: Find a closed formula for the sequence with recursive definition An = 2an-1 – an-2 with a1 = 1 and…

A: The closed formula for a sequence is used to define the general term of a sequence. The recursive…

Q: Find as of the geometric sequence if a1 = 3 and r=7.

A:

Q: Find the recursive formula for the nth term of the sequence given below. 2, 14, 34, 62, 98, ...

A: Definition: Recursive formulae in a sequence: It is a formulae to find the next term in sequence…

Q: For the sequence defined by:

A: we have been given the (n+1)th term of the sequence. Given: a1=4an+1=2an+2we have to find a2,a3,a4.

Q: Find t 10 in the arithmetic sequence 11, 7, 3, .

A: Explanation and solution is given below....

Q: {(1 -)'} 4 48.

A:

Q: For the sequence defined by: a1 = 2 1 +5 Find: a3

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.