Using arithmetic and geometric sequences can be helpful in many everyday situations Post your response to the following questions in the discussion board. What is the difference between an arithmetic sequence and a geometric sequence? How can each type of sequence be helpful in everyday situations? Provide an example and the corresponding equation for each type.

Q: Arithmetic progression (application) 1. What is the first term if the 6th term of an arithmetic…

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Q: The general term of a sequence is given an = n2 + 5. Determine whether the sequence is arithmetic,…

A: Concept: The sequence is said to be arithmetic when the common difference between the successive…

Q: Find the general rule for the nth term of the arithmetic sequence negative-41, negative-30,…

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 3 + 6 + 9 +... + 324

A: 3+6+9+...+324 the first term is  a1=3 find the common difference d=6-3 d=3 . and the last term is…

Q: How are geometric and arithmetic sequences different?

A: We have to write the different

Q: 1. Explain the difference between the following terms. Provide an example of each type of sequence.…

A: "Since you have posted multiple questions, so we will solve only the first question for you."…

Q: The first term of a geometric sequence is 4, and the second term is 1. Find the 5th term. I…

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Q: For a given arithmetic sequence, the  75th  term,  a75 , is equal to  209 , and the  8th  term,…

A: Please refer to the image below

Q: What is a sequence? What notation do we use to denote the terms of a sequence?

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Q: Determine whether statement, 'I’ve noticed that the big difference between arithmetic and geometric…

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Q: Directoins: find the sum of the first fifteen terms of each geometric sequence.  sequence, −4, 8,…

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Q: Part A: Is the sequence arithmetic or geometric? Explain how you know.  Part B: What is the common…

A: Follow the procedure given below.

Q: Suppose you have the following: $1 on the first day, $2 on the second day, $4 on the third day,…

A: Suppose you have the following: $1 on the first day, $2 on the second day, $4 on the third day,…

Q: Given the explicit formula for a geometric sequence find the first 5 terms and the 8th term see…

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Q: Find the indicated term of the geometric sequence. 3. 7th term of 3, 3 5 25 ... Enter the 7th term…

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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: On January 1, you place a penny in your empty piggy bank. On January 2, you place two pennies in…

A: Given problem:- On January 1, you place a penny in your empty piggy bank. On January 2, you place…

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences.

A: We have to find indicated terms of the geometric sequence (4)  3, 6, 12, ....... 20th term

Q: The general term of a sequence is given. Determine whether the sequence arithmetic, geometric, or…

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Q: metric sequence

A: we have to explain the difference between arithmetic and geometric sequences.

Q: Can a sequence be both arithmetic and geometric? Givereasons for your answer

A: An equation can either be an identity, a conditional equation or a contradiction depending upon the…

Q: Hi I was wondering if you can help me with question 25. Question is Find the sum of the first 7…

A: We have to find out the sum of the first 7 terms of the geometric sequence 8,4,2 ....

Q: Write a recursive formula and an explicit formula for the following arithmetic sequence. - 3, 4, 11,…

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Q: o account the

A: To explain the difference of sequence and the series as,

Q: Leo gave his daughter $300 on her 10th birthday and intends to increase this by $200 each year. How…

A: This is an arithmetic progression as a constant term is being added continuously to the initial…

Q: In a display of cans, there are 18 cans in the bottom row, 17 in the row above, 16 in the next row,…

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Q: For a given arithmetic sequence, the common difference,  d , is equal to  −4 , and the  3rd…

A: Given data set: Common difference = d = -4 Third term (a3) = 21   We need to calculate the value of…

Q: Solve application problems with arithmetic sequences Question Timothy has deposited $140 into a…

A: Given: Timothy deposited $140 each month this year.  He will deposit $35 more per month.  To find:…

Q: 17. Given the sequence 6, -3, ,-* 3. ... a. Is this sequence arithmetic, geometric or neither?…

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Q: If you were to shade in a n × n square on graph paper, you could do it the boring way with sides…

A: Given, if you were to shade in a n × n square on graph paper, you could do it the boring way with…

Q: How would you determine whether a sequence is Arithmetic? How would you determine whether a…

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Q: The first two terms of the arithmetic sequence are given. Find the missing term. Use the table…

A: Given  arithmetic sequence first and second term a1 = 6, a2 = 19   To calculate  a14=

Q: Is the relationship between time and distance an arithmetic sequence

A: Distance is directly proportional to time. Distance∝TimeDistance=k×Time where, k is constant.

Q: You have learned how to write both the explicit and recursive forms of arithmetic and geometric…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: What is the difference between arithmetic and geometric sequences?

A: Arithmetic sequence is a sequence in which term differs by a constant number. This constant number…

Q: The general term of a sequence is given an = (1/2)n. Determine whether the sequence is arithmetic,…

A: To Determine: whether the sequence is arithmetic, geometric, or neither. If the sequence is…

Q: . Explain the difference between a sequence and a series. Provide clear and complete explanations…

A: In mathematics, sequence is a particular format of elements in a definite order. It is just an…

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: Give two hard word problem about arithmetic sequence and give solutions and explanations

A: Given: Give two hard word problem about arithmetic sequence and give solutions and explanations .

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

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Q: The first three terms of a geometric sequence are lnx16, lnx 8, lnx 4, for x > 0. Find the common…

A: Here given three terms in geometrical sequence. We have to calculate common ratio.

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: what is the daily impact of sequence and series in sociology give daily life examples

A: Sequence and series are useful in our daily lives as well as in higher mathematics. Important…

Q: You are having a discussion about sequences with a classmate. He insists that the sequence…

A: Let's find.

Q: Hello, please help me with the following question  Find the terms and/or sum of each sequence  (a)…

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Q: Find the missing terms for the arithmetic sequence .., -1, __ 1, .

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Q: It is given that three positive integers form an arithmetic sequence. Find these three integers if…

A: Let the three integers be a-d, a and a+d.

Q: You have learned how to write both the explicit and recursive forms of arithmetic and geometric…

A: Recall: Recursion is an iterative process where the initial value is given and gives the next term…

Q: the following sequence arithmetic? 4, - 10, - 24, - 38, - 52, .... Select one: a. Yes b. No c.…

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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.