Which formula can be used to describe the sequence below? 27,9.3.1..

Q: Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

A: Topic = Geometric Series As per guidelines , At a time only one question can be answered out of…

Q: Which of the following completes the sequence? D

A: According to our guidelines we are supposed to do only one question . Kindly repost other questions…

Q: Which of the following equations represents the nth term of the arithmetic sequence? 17, 24, 31, 38,…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, . .…

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…

Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 5,6,7,8,9,...

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

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Q: Find the formula of the general term an of the sequence: 3 4 5 6 16 ' 25 '36 '49

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Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. -4,-2,0,2,4

A: topic - arithmetic progression

Q: 2. Write the equation for each sequence. 3, 6, 9, 12, 15 b. 5, 7,9, 11 а. с. 3, 6, 11, 18

A: (a)  a1=3=3×1;a2=6=3×2;a3=9=3×3;a4=12=3×4;a5=15=3×5;..an=3×n=3nHence an=3n

Q: Write an expression that gives the requested sum. The sum of the first 36 terms of the geometric…

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Q: Write the first five terms of the arithmetic sequence. a 1 = 13; d = -4 9, 5, 1, -3, -7 13, 9, 5, 1,…

A: Given,

Q: List the first five terms of the sequence. 2n an n? + 1

A: To list the first five terms of the sequence: an=2nn2+1 Solution: an=2nn2+1 Substituting n=1 in an…

Q: Write a formula for the arithmetic sequence that starts as follows: 3, 8, . . . Write the first five…

A: Here the given arithmetic sequence as Since the difference between any two terms of the above…

Q: Write the first five terms of the geometric sequence.

A: Known fact: A Geometric sequence is of the form a,   ar,  ar2,  ar3,  ⋯⋯  where a is first term and…

Q: Explain how the following could be a geometric sequence.                 7,-7,7,-7,7.......

A: Given sequence is 7,-7,7,-7,7,......... Definition:- The general form of the geometric sequence is…

Q: Determine which of the sequence coverage or diverge? (-1) 1:{+}, 2:{ +9} - :

A: We will use the definition of convergence of a sequence to check the convergence of the sequence.

Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 7.5,6,7,8,9,...

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Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

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Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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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: What is the common difference of the arithmetic sequence? -1, 2 1,.

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Q: 05. What is the third term of a sequence given the explicit formula? an 3 —5 + 2(п — 1) A. -5 B. -3…

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Q: Calculate the 7th term for this geometric sequence: 64, -32, 16, -8, .. Your answer

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Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

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Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A 25 10/3? B. 26

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Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

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Q: Find the expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

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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: Find the an value of each sequence below. 4 8 16 а. {-3, 2, 3'9 27 b. {5,8,11, 14, 17, ...}

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Q: Find the sum of the indicated number of terms of the geometric sequence. 27 12,9, ,...; n = 5 4.…

A: Consider the geometric sequence 12, 9, 27/4, . . .

Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A. 25 10/3? B 26

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Q: Tell whether the sequence is arithmetic 1. 100, 50, 25, 12.5, 6.25,.... 2. 0, -4, -8, -12,…

A: Tell whether the sequence is arithmetic 1. 100, 50, 25, 12.5, 6.25,.... 2. 0, -4, -8, -12,…

Q: Write an expression that gives the requested sum. The sum of the first 30 terms of the geometric…

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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: Write the recursive formula for the geometric sequence below. 2, -6, 18, - 54, .. A(1) = ; A(n) =…

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Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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Q: What is a formula for the nth term of the given sequence? 300, 180, 108...

A: the given sequence is 300, 180, 108...........

Q: the sequence is arithmetic. .100, 50, 25, 12.5, 6.25,

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Q: Write an expression that gives the requested sum. The sum of the first 31 terms of the geometric…

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Q: Find the first four terms of the sequence ?? = 5? − 1.

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Q: What is the sum of infinity tems for the sequence 24, 12,6, . ... ? A. 96 B. 48 C. 60 D. 72

A: Infinite G.P. a , ar , ar2,.... Then Sum (S) = a1-r ; r <1 ____________ Where , a = First term…

Q: Find a2 and a3 for the geometric sequence, 2, a2, a3, -54.

A: Consider the following geometric sequence: 2,a2,a3,-54 Common ration=a22=a3a2=-54a3 a22=2a3a24=4a32…

Q: Which explicit formula describes the geometric sequence {,,7 }? ) an= + (n-1)(좋) (중)까-1 n-1 an =…

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Q: What is the missing term of the geometric sequence below? 7,2.63.... A 3 21 28 D 35

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Q: Write the first five terms of the geometric sequence wi and common ratio r. ag = 6, r = - 6. 12' 24'…

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Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

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.