The nth term of a sequence is given. Find the first 4 terms. an 6n - 8 6, 4, 10, 16 -2, 20, 10, 32 0-2,4, 10, 16 14,4, 10, 16

Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

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

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Q: Determine whether each sequence is finite or infinite. For the finite, give the last term. For the…

A: Given series is 3,-1,-4,-6,-7The given series is finite , that means there exists a lastterm.In…

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: a. 13,29,327,481, . . .  O. Expalnation: It is not airthmetice sequence since,…

Q: If the 3rd term of an arithmetic sequence is 18 and the 7th term is 38. Find the 10th term. Select…

A: Here, 3rd term, x3=18            7th term, x7=38 We need to find 10th term, x10

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: The first term of a geometric sequence is 5. The common ratio = -3. Find the 7th term. a, = a(r)-1 O…

A: It is in gp

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: Find a 8 of a geometric sequence if the first few terms of the sequence are given by -1,3,-9,27,...…

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Q: Find the first four terms of the sequence given by the following. a, = 67 + 3 (n -1), n = 1, 2, 3

A: In this question , we can find first four term of the sequence. Put n=1, 2, 3, 4 in the given…

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: We can find the general term an   as below

Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: Consider the sequence whose nth term is an = 3 . 5n.Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

A: Given: The sequence whose nth term is an=3×5n. To find: a2a1, a3a2,a4a3,a5a4.

Q: Find a formula for the nth term of the sequence. 1,-4, 9, -16, 25, ... Determine the sequence's…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: If a, = 2 and a = 2a, n -1> find the first five terms of the sequence.

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Q: Write a rule for the n th term of the sequence. Then find a- 11.7,10.8,9.9,9,.. 0.9n+ 12.6

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: The term a,6 of the sequence {an} given by (2 3 4 5'7'9' 11

A: Follow the procedure given below.

Q: Find the first three terms and the ninth term of the sequence that has the given nth term.…

A: An= (-1)n+11n(n+1)

Q: Find a formula for the nth term of the sequence below. 7, -7,7,7,7, ... Choose the correct answer…

A: Given sequence as 7,-7,7,-7,7,…

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48.. An = (-2)n-1 an = 3(-2)n an =…

A: To find the direct formula of a sequence  3,-6,12,-24,48,.....

Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given The sequence =  1 , - 5 , -11 , -17 , -23 ............ Let's assume First term = a1 = 1

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

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The given sequence is:  8, 7, 6, 5, 4, ...

Q: For Exercise, the nth term of a sequence is given. Find the indicated term. 2" find a5 an (п + 2)!

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given : 6, 3, 0, -3, -6,…

Q: Consider the sequence whose nth term is a, = 3•5". Find аz аз ад a5 and 2. What do you observe? a4…

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Q: 1 4 9 9 16 3'9 27'81

A: The given first four term are -13,49,-927,1681. Rewrite the first four term as follows:…

Q: Find a formula for the general term an of the sequence {2, 20, 2, 20, 2, · · · } assuming that the…

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Q: Which of the following is a geometric sequence? O3, 5, 8, 11, ... O3, 5, 7, 9, ... O 64, 32, 16, 8,…

A: Given: Sn=3, 5, 8, 11,...Sn=3, 5, 7, 9,...Sn=64, 32, 16, 8,...Sn=-6, -8, -10,....

Q: Which of the following is a geometric sequence? O 0, 1, 1, 2, 3 O 1/2, 1/4, 1/6, 1/8, 1/10 О 2,4, 6,…

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Q: What is a formula for the nth term of the given sequence? -8, 1, 10... an = -8(9)" an = 1+9(n – 1)…

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Q: The nth term of a sequence is given. Find the first 4 terms. 2n 1 %3D + 2n 5 7 3 1, OT8 15'8 7. 1 1…

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Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given sequence, {11, 16, 21, 26, 31, ...}

Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, - 25, ... Determine the sequence's…

A: Given sequence is -1             4                 -9                16              -25 By…

Q: Find a formula for the nth term of the sequence. - 2, 5, 24, 61, 122, . Determine the sequence's…

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Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…

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.