Suppose Suppose a, = 3n? – 3n – 3. Find a closed formula for the sequence of differences by computing an - an-1. Simplify your answer as much as posible. an an-1

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

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: For the sequence 1, 4, 7, 10, .. . its nth term is

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Q: For the sequence an=2(an-1-2) and a1=3, its first term is___ second____ third____ fourth____…

A: Given that: an=2(an-1-2)  and a1=3

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

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Q: Find the formula of the general term an of the sequence: 2 6 24 120 1. 4 '9'16 ' 25

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Q: Indicate the values of x and y such that the following equation holds for every sequence {an}n>0 60…

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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: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

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Q: Indicate the values of æ and y for which the following equation holds for every integer p > 1 and…

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Q: Find these terms of the sequence (a where an=2-3)"5"

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Q: Find a formula for a, for the arithmetic sequence. 5 aq = 0, d = - %3D

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

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Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: The sequence of positive whole number is given such that a1 1. If a7=120 find as

A: Given series is called Fibonacci series, where sum of next term is sum of earlier two terms.

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

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

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Q: For the sequence -27, – 12, 3, 18, ..., the expression that defines the nth term where a, = -27 is…

A: A sequence is a function from natural number to real numbers. It is denoted by {an} where…

Q: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

Q: Find in the sequence 3, 7, 11, x... with y as its 9th term. a. b. C. d. е. 11

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: The first two numbers in a sequence H are H(1)=2 and H(2)=6. If H is an arithmetic sequence, write…

A: Given : H1 = 2H2 = 6 H is an arithmetic sequence.

Q: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

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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: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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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: A sequence {a,} is defined by ao = a1 = a2 = 1 and an = 7a,-2+6an-3 n>3. Find a general formula for…

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Q: Write an explicit formula for the sequence: 6 - 1' 7- T 8 9 - x 10 - * 7' 12 + 1' 18 + 12' 24 + ' 30…

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Q: Choose the correct statement(s) for given sequence 2n an n2 +1

A: a sequence is converges if  limn→∞     n = finite

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

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Q: Use the difference an+1-an to show that the sequence {n-9"} is strictly increasing or strictly…

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

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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: Given a sequence: a1 = 6 a2 4an-1 +n What is the 4th term? (Directly type the value ONLY without "="…

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Q: Write an explicit formula for the sequence 7, 2, -3, -8, –13, ... Then find . = -5n + 12; -58 14 -5n…

A: To find the explicit formula of a sequence and a14

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

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Q: 35 ?Which of the suggested answers completes the sequence O De

A: Firstly we slide second square on right side and circle upward .Then, we First square diagonally and…

Q: Find the z trans form of the casual sequence i Xx3 where XK = C-1). %3D

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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: The limit of the sequence z, = Arg(-i+) is equal to Select one: -T O a. O b. O c. -3T O d. 2

A: The correct option is option (a) - π/2    The detailed solution is as follows below:

Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: In a sequence of numbers, the first term is x and each term thereafter is twice the previous term.…

A: solution is given below

Q: Which of the following functions can be used to generate the terms in the sequence 1, 8, 21, 40, ..?…

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Q: Graph both the sequence of terms a (sn) 15F 1.5H

A: We will calculate the term of the series and then the partial sum. Please see the table below: an =…

Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-

Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

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Q: Suppose Suppose an = 2n² – 5n + 5. Find a closed formula for the sequence of differences by…

A: It is given that an=2n2-5n+5. Thus, an-1=2n-12-5n-1+5=2n2-2n+1-5n+5+5=2n2-4n+2-5n+5+5=2n2-9n+12

Q: Let bo, b,, b2, - be the sequence defined by the explicit formula b, =C. 6" + D(-5)^ for each…

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Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

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

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