%3D The first three terms of the sequence defined by 1 =-1, =-3t,-1+4 are A) 7, -17, 55 B) -1, 7, -17 C) 0, 4, -8 OD) 1, 1, 1

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: Identify the sequence below as arithmetic, geometric, or neither. Then find the next two terms. 15,…

A: The sequence is arithmetic because if we take any number and substract it by the previous one, the…

Q: What is the 2th term of the sequence defined below? = r 'n-1 +6.30

A: The given sequence is defined by r1=9 and rn=rn-1+6.30 So r2=r1+6.30…

Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

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Q: Use inductive reasoning to predict the next term of each sequence. Explain or illustrate the pattern…

A: (b) The given sequence is 2,0,-18,-64,-150,-288,-490,?. Obtain the first difference as shown below.…

Q: B. Write the last four terms before a,of the geometric sequence in which a̟ and r are as follows: 3.…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: Write an explicit rule for the geometric sequence, Then find the indicated term of the sequence. 11.…

A: topic - geometric sequence

Q: The given pattern continues. Write down the nth term of the sequence {a,} suggested by the pattern.…

A: Option (C) is correct

Q: (a) Find the first four terms of the sequence defined by a, = n². a1 = a2 = аз a4 %3D

A: (a) A sequence is given by an=n2 We need to find first four terms of the sequence.…

Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

Q: Write the first five terms of the sequence. (Assume that n begins with 1.) a, = 8(-1)" + '(,) n - a1…

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Q: Determine the sum of all the 1st 71 terms of sequence 2, 5, 8, 11, 14. a. 7590 b. 7600 c. 7597…

A: Here, a1=2,a2=5d=a2-a1=5-2=3

Q: Given the sequence, formulate a rule for the given sequence. 1. { 0, 3, 6, 9,...} 2. { 3, 6, 9, 12,…

A: Consider the given sequence (1)  U=0, 3, 6, 9…… Here, first term a=0Common difference d=3-0=3=6-3=3…

Q: Find an expression for the nth term of the arithmetic sequence. -1, 5, 11, 17, 23, ... O A. a, - 6n…

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Q: Determine if the sequence is geometric. If it is, find the common ratio 1) –1, 6, –36, 216, . 2) -1,…

A: Given that: 4) -3, -15, -75, -375, ...5) -2, -4, -8, -16...6) 1, -5, 25, -125, ...

Q: Determine whether the sequence is arithmetic, geometric, recursive, or none. Write the explicit…

A: We have to solve given problem:

Q: use a difference table to predict the next term of each sequence. a. 5, 6, 3, -4, -15, -30, -49, ?…

A: (a) To find: The next term of each sequence by the use of difference table. Given information: The…

Q: The number of terms n of the arithmetic sequence : {2, 9, 16, 23, . . , 65} are O 11 O 9 O 8 O 10

A: The given sequence is:  2, 9, 16, 23, ..... , 65

Q: What is the 2th term of the sequence defined below? Sr, =D9 ,= ry +6.30 %3D %3D

A: this is arithmatic mean  with common ratio d = 6.30 then r12 = r1 + (11-1) d

Q: n of the sequence -3, 2, 7, 12, ...?

A: S=-3,2,7,12....TnAbove sequence is an Arithmetic Progression a1=-3d=a2-a1=2-(-3)=5

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: write the first five terms of the sequence. assume n begins with 0. an= (-1)^(n+4)! %3D

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Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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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: determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4,…

A: For a sequence to be an arithmetic progression it must follow the common difference procedure as.

Q: The table represents the relationship between n, the position of the term in a sequence, and v, the…

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Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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Q: Write the first five terms of each sequence. Determine whether each sequence is arithmetic,…

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Q: Find the patterns of the sequences, describe the pattern, and use them on the next two terms. 1,…

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Q: B. Analyze the given sequence for its rule and identify the next three terms. 1. А,Е, К, 2.…

A: Step:1 Since you have asked multiple question with multiple parts we will solve the first question…

Q: Which arithmetic sequence has a common difference of 4? O {n, 4n, 16n, 64n, .} O {n+4, n+16, n+64,…

A: The common difference of an Arithmetic sequence is the difference between any two consecutive terms…

Q: What is the 2th term of the sequence defined below? [r, = 9 , = r +6.30 6

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Q: Which arithmetic sequence has a common difference of -21? O (1,563; 1,587; 1,611; 1,635;...) (32,…

A: Common difference means subtraction of second term and first term

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: List the first five terms of the sequence. а1 3 6, ап+1 %3D 5а, — 2 a1 = a2 %3D az = a4 as = II

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Q: Determine the harmonic mean of the first 4 terms of the sequence: 3, 5, 7,- a. 6 b. 5.08 c. 5.12 d.…

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Q: B. Find the tenth term in each sequence. 1. -6, -2,0,1,2,... 2. 18, 14, 10,6,...

A: The given sequences, 1. -6,-2,0,1,32,...... 2. 18,14,10,6,.... we have to find tenth term of the…

Q: Given the sequence 16, 11, 6, 1, -4 .. Represent the sequence as a table.

A: The given sequence is 16, 11, 6, 1, -4, …. Thus, the first term is 16, second term is 11, third term…

Q: Write the first ten terms of the sequence defined by an = 4n. a1 = a2 = аз a4 %3D as = a6 = a7 %3D…

A: Here we have  an = 4n We have to find values of a1, a2, a3,...a10 We put value of n in an.

Q: The nth term of the sequence -2,0-2,0 -2,0, is ... Select one: a. (-1)".2-2 O b. (-1)" +1.2-2 O c.…

A: Consider the sequence-2,0,-2,0,-2,0,............

Q: Determine if the sequence below is arithmetic or geometric and determine the common difference /…

A: The given sequence is 3,5,7,.....

Q: State whether each sequence is arithmetic or geometric. 1. 10, 4,-2,-8,... 2. 3,6, 12,24. 3.…

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Q: Use inductive reasoning to find the next two terms of each sequence.   6. 1/2, 1/4, 1/8, 1/16…

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Q: Write a recursive formula for each sequence. 12, 7, 2, -3, ... 10, 30, 90, 270, ... a, = 0 %3D I for…

A: Given series :                       12 , 7 , 2 , -3 , ... Find a difference between consecutive…

Q: In the sequence {1,5,9,13,17,} which term is a3?

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Q: B. Write the last four terms before a, of the geometric sequence in which a, and r are as follows:…

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Q: Write the first five terms of the sequence. (Assume that n begins with 1.) an = 5(-1)" + n + 1 a2 аз

A: To find the first term we plug n=1 in the given formula  To find the second term we plug n=2 in the…

Q: Determine the value of the sequence fa,} for n=0, 1, 2, ... , 5. 3 f(n) : (4 + n)? Complete the…

A: Given that f(n)=3(4+n)2For n=0, f(0)=3(4+0)2=316=0.1875For n=1,  f(1)=3(4+1)2=325=0.12For n=2,…

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.