the sequence an се

Q: The sequence

A: We use ratio test to prove convergence or divergence here.

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other…

Q: Write the first five terms of the sequence with the given nth term. 2, = cos 2 a a1 a3 a4 a5 IL ||…

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Q: A sequence is defined recursively by an +1 = 3a, - n, a1 = 2. Find the first six terms of the…

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Q: n+1 Find the 4 first term for the sequence { a,} where az=2, an=an-1

A: Solution:-

Q: Fand the nth term the arithmetic of given. and 96 sequence %3D

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Q: An = 01 + (n – 1)d Find the 31st term of the sequence -22, -19, -16, -13,... O 71 O 68 O 72 O112

A: It is in ap

Q: List the first five terms of the sequence. an = cos 2.

A: Put n=1,2,3,4,5 in an=cosnπ2. For n=1, a1=cosπ2     =0 For n=2, a2=cos2π2     =cosπ     =-1

Q: In each case, find the first 5 terms of the sum and compute S, 3. The sum 1S 2 The first 5 terms are…

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Q: 1 The sequence an %3D 2n +3 (a)decresing (b) in

A: See the details solution in below

Q: Find the formula (nth term) of the sequence 7, 10, 15, 22, 31, .. . O an = (-2)" O an = (n-5)/4 an =…

A: As per company's guidelines, we are supposed to solve first question for you, kindly repost other…

Q: Topic: Fibonacci Sequence 1. If F23 = 28 657 and F25 = 75 025, F24 =46368   Show solution.

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Q: a, = 3n-2n+4

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Q: N + 1 aN N° + 1 is monotonic. Show that the sequence

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Q: For the sequence an = an– 1+ an–2 and a1 = 5, a2 = - 5, а2 = 6, its first term is its second term is…

A: Given an=an-1+an-2 a1=5,a2=6

Q: ind a formula for the solution of the sequence An Зап-1 — 2ап-2, п23, а, — 2, а2 — 3 |

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Q: find the indicated term of the sequence. an=(6n/3n2-5)   a19=

A: Given,an = 6n3n2-5a19 = ?for finding a19 substitute n = 19 and find the value

Q: For the sequence an = an-1 + an-2 and a1 = 2, a2 = 3, %3D ts first term is ts second term is ts…

A: Give: an=an-1+an-2  ;   a1=2, a2=3 Since, an is called the nth term  Therefore, First term = a1 = 2…

Q: The sequence an=- [4-7n°) %3D n°+3 Diverges a. -7 Ob.' Oc. Od. 4

A: Given- an=4-7n6n6+3 To Find- The value of the above sequence.

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: 00 The sequence n1 is IS

A: nonincreasing  option a is correct.

Q: C. Find the nth term of the sequence. 9. az 94 and az = 85 %3D %3D

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Q: Find the first four terms and the 100th term of the sequence: a, = 3n – 2 aj= a2= az= a4= aj00 =

A: Use the nth term formula to evaluate the required terms.

Q: Find the 8th term, ag, for the sequence. an = - 9n +6 %3D

A: Given :an=-9n+6

Q: write the first five terms of the sequence. (assume Hhat begins with 1.) an= 5(-1)***() %3D

A: The objective is to write the first 5 terms of the given sequence.

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

A: solution.

Q: Evalubte the Sum

A: See attached file for a step by step explanation to find the sum of the given series.

Q: DFind a 4-3,5,-7,1,-11,13 Formula an for the fralbwng sequence

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

A: Given sequence is an=an-1+an-2   and a1=3, a2=4. Here,   a1 is the first term of the sequence a2 is…

Q: Write the first three terms of the sequence separated by commas. 1. an = 21 + 12n 2. an = 2n2 - 10…

A: (1) Consider the provided sequence, an=21+12n Write the first three terms of the sequence. Put n=1…

Q: For the sequence an = an-1+ an-2 and ai = 1, a2 = 2, %3D %3D its first term is its second term is…

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Q: Find the formula of the nth term of the sequence {1,2,4,8,16,..}

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Q: The sequence an 3" =- is eventually increasing %3D n! Select one: O True O False

A: Given sequence

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, a1 = 3 a2 = 4 an = an-1 + an-2

Q: The sequence of positive whole numbers is given such that a, 1. If a7 = 120, find ag.

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

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Q: Use a graphing calculator to find the first 10 terms of the sequence an = 1/(an-1) and a1=15 its…

A: an+1=1an-1, a1=15 For, n=1 from the recurrence relation an+1=1an-1 we get  a2=1a1-1=115-1=114=0.07

Q: Evaluate each geometric series described.

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Q: Find the tenth term in the sequence. an = n + 2

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Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

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Q: Find a formula for the nth term of the sequence. 1, - 16, 81, - 256, 625, ... Determine the…

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Q: Write the first four terms of the sequence {an}n=1 00 a, =7+ sin 2 a, = 8 (Simplify your answer.) az…

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: In each case, find the first 5 terms of the sum and compute 3 2 2 The first 5 terms are: 000 The sum…

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Q: Find a formula for the nth term of the sequence. •

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Q: The sequence an = {nn} is eventually decreasing %3D Select one: O True O False

A: We call the sequence decreasing if an >an+1 for every n.   an = n1/n an+1 = (n+1)1/n+1   n1/n…

Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

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

A: We have to find first ,second, third, fourth and fifth for the given sequence: an=an-1+an-2 and…

Q: Find all possible values of x that make the sequence x-1,2x,5x+3 a geometric sequence

A: To find values of x for which given sequence will be a geometric sequence x-1,  2x,  5x+3

Q: Find the tenth term of the sequence: an an-1 +n a, = -8 %3D

A: We have to find tenth term

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.