Show that the sequence is arithmetic. Find the common difference, and write out the first four terms. () = (2n - 9) What is the vaue of the common difference? What is the value of the first term? What is the value of the second term? What is the value of the third term? What is the value of the fourth term?

Q: Write an equation for the nth term of the arithmetic sequence.

A: the nth term of the arithmetic sequence is given by

Q: Write the first four terms of the sequence defined by the recursive 2+an-1 formula a1 = -14 . /(5…

A: The solution are next step

Q: Given Arithmetic Sequence a1, a2,·*, ɑn the first term is 25 and the common difference is 3, find…

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Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with…

A: Term formula of geometric series is Where an= n_th term r=common ratio

Q: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: Given a term in an arithmetic sequence and the common difference find the explicit formula.

A: Let  a sequence is    a,  a+d, a+2d, a+3d, a+4d,.....     , where  First term = a  and   Common…

Q: Find the nth term of the arithmetic sequence (a,) whose initial term a and common difference d are…

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Q: Find the 7th term of the geometric sequence shown below: -5x^5, 10x^10, -20x^15,...

A: The given sequence is -5x5,10x10,-20x15,...

Q: Write a formula for the general term (the nth term) of the arithmetic sequence, 7, 3, -1, -5,…

A: Given arithmetic sequence is 7,3,-1,-5,...... Here, first term, a=7 Common difference,…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence, an = an-1 -10, a1 =…

A: Consider the given information: an=an-1-10an-an-1=-10Common difference,d=-10and, a1=30 Since, it is…

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

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Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

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Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

Q: Show that the sequence is arithmetic. Find the common difference, and write out the first four…

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Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: Is the sequence an = 9n - 19 arithmetic? Your answer is (input yes or no): If your answer is yes,…

A: Substitute 1 for n in the given sequence an=9n-19 to obtain the sequence. a1=9(1)-19   =9-19…

Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with…

A: Use the Nth terms formula for geometric sequence.

Q: Show that the sequence is arithmetic. Find the common difference and write out the first four terms.…

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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: An arithmetic sequence is given. Find the common differenc {3n - 8} What is the value of the common…

A: From the given information. The nth term of arithmetic sequence is tn=3n-8.

Q: The 15th term of an arithmetic sequence is 21 and the common difference is -4. (a) Find the first…

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Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: Show that the sequence is arithmetic. Find the common difference and write out the first four term

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Q: Write the first five terms of the geometric sequence a, based on the given information about the…

A: Given query is to find the first 5 terms of the sequence.

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

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Q: Is the sequence an arithmetic? 7+ 2n Your answer is (input yes or no) if your answer is yes, its…

A: Given:- an = 1/(7+2n)  To find :- Check given sequence is arithmetic or not, if yes the find first…

Q: Find the common difference d and the nth term a, of the arithmetic sequence whose 7th term is 2 and…

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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: Is the sequence an = arithmetic? 5 + 9n Your answer is (input yes or no) if your answer is yes, its…

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Q: An arithmetic sequence can always be expressed as a(n)______sequence.(a) Fibonacci (b)…

A: We know that an arithmetic sequence is a sequence in which each term is  the sum of previous term…

Q: In an Arithmetic Sequencea1, a2,.an, the first term is 7 and the 11 term is 57, then S is

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence -7, -3, 1, 5,........…

A: Given arithmetic sequence is -7, -3, 1, 5,........ . We have to find the 20th term of the sequence.…

Q: Find the 75th term of the arithmetic sequence with first term 2 and common difference -1/2.

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Q: An arithmetic sequence is defined by Un=11n-7. a find U1 and d. b find the 37th term. c what is the…

A: (a)Given:

Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: What is an arithmetic sequence? Write a formula for the nth term of an arithmetic sequence.

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Q: Use the recursive definition to find the first four terms of the arithmetic sequence it defines. an…

A: To find the first four terms

Q: Write a formula for the general term (the nth term) of the arithmetic sequence, an = an-1 -12, a1 =…

A: We have to write the general term  nth  term of the arithmetic sequence: an=an-1-12, a1=24 Then by…

Q: Find the first term and the common difference of the arithmetic sequence. Give a recursive for the…

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Q: hat is the formula for the arithmetic sequence if the sum of the same sequence is given by Sn=2n+3n^

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Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

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Q: 1 Is the sequence An arithmetic? 4 + 4n Your answer is (input yes or no) if your answer is yes, its…

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Q: What is the common difference, the general term equation, and the 12th term of the arithmetic…

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Q: 7th term is 1; 18th term is 23 What is the first term of the sequence?

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Q: The 7th term of an arithmetic sequence is −44, and the common difference is −4. Find the first term.

A: The nth term of sequence is given by:…

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: 5. The first term of an arithmetic sequence is 12, the last term is 120 and sum of the terms of the…

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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: 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: Write an arithmetic sequence Using a recursive formula. Show the first 4terms, and thenfind the 31St…

A: To write an arithmetic sequence with recursive formula.

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.