What new realizations do you have about finding the nth term of the arithmetic sequence ang finding the arithmetic means? How would you use this in making decisions?

Q: A runner is training for a marathon. The first week, she runs 3 miles during each training session.…

A: an = a+(n-1)d

Q: What is the recursive formula for finding the nth term of the given geometric sequence?

A: Given query is to find the formula for nth term.

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: Write a recursive formula for finding the nth term of each arithmetic sequence. 15.75, 14.25, 12.75,…

A: First Term of the sequence is a1=15.75 common difference is: d=an-an-1=a2-a1=14.25-15.75=-1.5…

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: Use the geometric sequence to help write a recursive rule and an explicit rule for any geometric…

A: For any geometric sequence a, ar, ar2, ar3, ... , where a be the first term, r be the common ratio.…

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

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Q: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are…

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous…

Q: Find the 73rd term of the arithmetic sequence with first term 1 and common difference − 1 2 .

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Q: .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater…

A: The given sequence is an=an-1+6 where a1=3. Put n = 2,  a2=a1+6=3+6=9 Put n = 3, a3=a2+6=9+6=15 Put…

Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: Ag = 31 %3D %3D

A: Nth term of an AP is  an=a + (n-1)d Where a is first term , n is the term and d is common difference…

Q: What are the first five terms in the recursive sequence defined by the following? a1 = 1 a2 = 1 An =…

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Q: What is the eighth term of the arithmetic sequence? 8 -7 -6 -5 tn +4 -3 -2 -2 -3 4 -6 -7 -8

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Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: When finding the nth term in an arithmetic sequence, how do I sole a sequence with fractions? For…

A: In order to find the nth term in an arithmetic sequence of fractions, one should be able to find the…

Q: An arithmetic sequence is given below. 5, 12, 19, 26, -.. th term an Write an explicit formula for…

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Q: Determine the value of the 100th term of the arithmetic sequence 130,123,116,109. Give the answer…

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Q: Use differences to find a pattern in the sequence. 0, 14, 76, 236, 568, 1170, 2164 Assuming that the…

A: Given; 0, 14, 76, 236, 568, 1170, 2164 To Find: To identify the pattern and then to find the eighth…

Q: What is the common difference in this arithmetic sequence?

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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: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: th Find the 80 term of the following arithmetic sequence. 3, 10, 17, 24,

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Q: Is the sequence an = 8 + 3n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

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Q: An arithmetice sequence has first term a =1 and fourth term ag = 16. How many terms of this sequence…

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Q: Is the sequence an = 5 + 8n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: We have to determine whether  the sequence  are arithmetic  or not . And also to find the first term…

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: Which arithmetic sequence has a first term equal to 47 and a common difference of -18?

A: To find the arithmetic sequence

Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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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: Is the sequence an = 6 + 3n arithmetic? Your answer is (input yes or no) if your answer is yes, its…

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Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: th Find the 70 term of the following arithmetic sequence. 8, 15, 22, 29, ...

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

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Q: the first term in an arithmetic sequence is 9. The fourth term in the sequence is 24.the twentieth…

A: Given,           The first term in an arithmetic sequence is 9. The fourth term in the sequence is…

Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

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Q: ind the 14th term of the geometric sequence 10, 40, 160,

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Q: Let the arithmetic sequence be defined by the formula un=11+(n - 1) x 6 Apply the concepts of the…

A: An arithmetic sequence is a set of numbers that obey a specific mathematical expression called its…

Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: th Find the 59 term of the following arithmetic sequence. 16, 19, 22, 25, ... 0

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Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

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Q: A particular arithmetic sequence begins 2, 9, 16, . Find the sum of the first 100 terms.

A: 2, 9, 16, ........ It is an arithmetic sequence with,

Q: 1. Create an arithmetic sequence and explain why it is arithmetic. 2. Create a geometric sequence…

A: Arithmetic Sequence A sequence is said to arithmetic if the difference between consecutive terms is…

Q: Which recursive rule describes the sequence 3, 7, 11, 15, ... ?

A: First we have to find out 1st term and common difference.

Q: What is the 46th term in the triangular number sequence? Your answer

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Q: Find the sum of the first n terms of the arithmetic sequence.−9 + (−12) + (−15)+ ... (to 10 terms)…

A: It is an arithmetic series with  Now sum of the first n terms is,

Q: 16. Makya was conducting a physics experiment. He rolled a ball down a ramp and calculated the…

A: Note that the arithmetic sequence formula is: an=a1+(n-1)d...(1)