Determine the number of terms in the arithmetic sequence below. -30, - 29, - 28, ..., 77, 78, 79, 80 The number of terms in the sequence 30, - 29, -28,.., 77, 78, 79, 80 is

Q: Write an equation to describe the sequence below. Use n to represent the position of a term in the…

A: If we take an = 2^(n-1) For n = 1 a1 = 2^(1-1) = 1 For n = 2 a2 = 2^(2-1) = 2 For n = 3 a3 = 2^(3-1)…

Q: Write the first five terms of the geometric sequence with the first term, a, = 4, and common ratio,…

A: A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by…

Q: Which of the following is an example of an arithmetic sequence? Group of answer choices: Choose…

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Q: t the best answer for the question. Find the 40th term of the following arithmetic sequence: 16, 6,…

A: Given,            The arithmetic sequence is 16 , 6 , -4 , 14 .To find: The 40th term of the…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

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Q: Find the missing terms in the arithmetic sequence: ..., - 16.4. * - 7.7, Determine the geometric…

A: We can use concept of sequence and series.

Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 1,-4,-9,-14,-19

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

A: We want to find the formula for an and find the a20

Q: Instructions Use the sequence below to answer the following questions Geometric Sequences 5, 20, 80,…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

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Q: mine the number of terms in the geometric sequence; 6, 12, 24, ... , 49 152.

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Q: b. 4.2, 5.46, 7.098, 9.2274, ... Is this sequence arithmetic or geometric? A. geometric O B. В.…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula…

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Q: Refer to the sequence below. a. Describe the pattern b. Write the next term c. Write a recursive…

A: Given query is to find the pattern and find the next term.

Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that…

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the…

Q: In an arithmetic sequence with a, = - 16 and d 2, which term is -6? %3D The term -6 is the th term…

A: Arithmetic progression : It is the sequence of number with same difference between two consecutive…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence a,1, a,, az, a4, .…

A: We know that, an= a1+(n-1)d where, d is the common difference.

Q: Write the first six terms of the arithmetic sequence with the given properties. 20th term is -47;…

A: First find first term, then add common difference for other term

Q: What does r represent in a sequence? O A. The first term O B. The common ratio O C. The common…

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Q: sequence

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Q: 6. The first four terms of an arithmetic sequence are 2, a-b, 2a+b+7, a-3b. Find a and b.

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Q: Write the first three terms of the sequence whose general term is an=n!3n. Provide your answer…

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Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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Q: Determine the number of terms in the arithmetic sequence below. 50, 49, 48, .., 57, 58, 59, 60 The…

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Q: B. Steps in finding for the arithmetic mean of an arithmetic sequence First, A second step Complete…

A: To find the arithmetic mean of an arithmetic sequence:First, check whether the first and the last…

Q: Write the first four terms of the geometric sequence with the given properties. a = −3; r = 2

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Q: Write a rule for the n​ the term of the geometric sequence. Then identify the first six terms of the…

A: Here, we have a1=25Common Ratio=1025=25The nth term of the geometric sequence is given…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

A: By using arithmetic sequence formula.

Q: Determine the nth term of the geometric sequence. 1, 4, 16, 64, ... The nth term is. (Simplify your…

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Q: ERROR ANALYSIS Describe and correct the error in writing a rule for the n th term of the arithmetic…

A: I have done it correctly and this is the correct answer.

Q: th Write a formula for the n" term of the geometric sequence. Write your answers as integers or…

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Q: Consider the arithmetic sequence -7,-4,-1,..., 290. (a) Find the number of terms in the given…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence a,, a2, a3, a4, .. .…

A: Use general formula of nth term

Q: Write the first five terms of the arithmetic sequence. Find the common difference and write the nth…

A: Given  a1=8.5,     ak+1=ak−0.5

Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence a,, a,, az, a4, .…

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Q: 3. Find the 11th term of the sequence -3/2 , -1/4 , 1 , 9/4 , ... Enter your answer

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Q: Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence. 2…

A: A sequence is called an arithmetic sequence, if the difference between two consecutive terms is a…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence a,, a2, a3, a4, .…

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Q: An arithmetic sequence a starts 2,5,...  1. Use your definition to make a table of values for a(n)…

A: Given that The arithmetic sequence 2,5,... To find a(n) and a(6):

Q: Write an expression for the nth term of the sequence. (There is more than one correct answer.) See…

A: The numerators are 6,7,8,9,10. so nth term (n+5) The denominators are 1,3,5,7,9,... so the term…

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

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Q: te the first 5 terms of the sequence fan},n=0, 1, 2, 3, .., and determine whether lin 4 =3n+2 mplete…

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Q: arithmetic sequence has a(1) = 4 and a(2) = 16. Explain or show how to find the value of a(15).

A: Given query is to find the value of a(15).

Q: Determine the number of terms in the arithmetic sequence. The number of terms in the sequence -30,…

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Q: Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 =…

A: The nth term of geometric progression is an = a1*r(n-1)

Q: Write a formula for the general term (the nth term) of the arithmetic sequence. Then, use the…

A: general formula an=a1-4(n-1).

Q: Write an equation to describe the sequence below. Use n to represent the position of a term in the…

A: First term (a1)  =  2  a2  =   5  a3  =  25/2  (a2 ÷ a1)  =  5/2  (a3 ÷ a2)  =  (25/2)÷(5)  =  5/2…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the…

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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.