Given a sequence 40, 20, 10. State whether the sequence is arithmetic or geometric.

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and 4 respectively then…

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Q: The distance passed over by a certain pendulum bob in succeeding swings form the geometric sequence…

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, 5, 5,…

A: G. P. Series problem.....

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

Q: The sums of nth term of three arithmetical progression are S,,S, and S,.The first term of each is…

A: We will solve the problem

Q: Find the sum of the first 28 terms in an arithmetic progression 1, 6, 11, 16,..

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Q: Determine if the sequence is arithmetic. If it is, find the common difference and the three terms in…

A: (13)   -33,167,367,567. diff. = 167-(-33) = 200 diff= 367-167 = 200 diff = 567-367 = 200 All are…

Q: 4.) Consider the arithmetic sequence 23,34, 45, 56 .. a.) Find the 25th term of the sequence. b.) Is…

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Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

Q: Given the geometric progression Find the sum of the first 9 terms of the sequence. 7, 35, ...) 25 5…

A: Given GP is 725, 75, 7, 35, ...

Q: (a) The 1st term of an arithmetic progression is 17 and the 6th term is 62. Determine the 8th and…

A: We have to answer questions on Arithmetic progression.

Q: If 12 and 384 are the second and seventh term, respectively, of a geometric progression, find the…

A: Since, we have been given that the second and seventh term of a geometric progression are 12 and 384…

Q: For each sequence, determine whether the sequence is arithmetic, geometric, or neither.

A: Given sequence, -300,100,300.......

Q: Write an equation for the nth term of the given arithmetic

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Q: Exercise 4. If the 1st and 15th terms an'arithmetic sequence are -5 and 23, respectively, find the…

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Q: If the given sequence is a geometric sequence, find the common ratio. 4, -12, 36, -108, 324 -16 -3 O…

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Q: an arithmetic sequence a1, a2, · ., an , if the first term is 5 and the common difference is 2, then…

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: Consider the sequence 8, 5, 2,-1.........-52 a) is the sequence an arithmetic progression? Why or…

A: Arithmetic Progression: A sequence is said to be an arithmetic progression, if the difference…

Q: 1) Find the 8th term of the geometric sequence 100, 20, 4, ...

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

Q: Determine whether the following set of numbers is part of an arithmetic or geometric sequence. In…

A: We have to check

Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

Q: estion 28 Find the next term of the sequence: 243, 81, 27, .... A Moving to another question will…

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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36. Count the sum of the first…

A: We use the sum of an arithmetic sequence to answer the given question.

Q: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: Write down the first five terms of the geometric sequence which has first term 1 and common ratio ½.

A: First term = a = 1 Common ratio = r = 1/2

Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…

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Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the…

A: According to question given :-Series 3a, 3a2b, 3a3b2, 3a4b3...We have to find sixth term and  the…

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

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Q: 12. Given the sequence {7, 11, 15, 19, .... } Is 131 a term of the sequence? If so, which term is…

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Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

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Q: Given the sequence 1,2,3,4,5,... and the sequence 3,4,5,6,7,... whats the product of the two linear…

A: It is given that, the  sequence 1,2,3,4,5,...and the sequence 3,4,5,6,7,...    We have to find the…

Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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Q: A. Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5…

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Q: 7. What is the 12th term of the sequence 10, 6, 2, ...? O-16 O-24

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Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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Q: State whether each sequence is arithmetic or geometric. 1. 10, 4,-2,-8,... 2. 3,6, 12,24. 3.…

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Q: of

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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: In the arithmetic sequence 7,23/3,25/3,…, which term is 51?

A: The given arithmetic sequence is 7, 233,253 where  first term a = 7              common difference d…

Q: If 7, 9. 8 and 1, are added, respectively, to the four terms of a geometric progression; the…

A: Let the geometric progression is a, ar, ar2, ar3 Then add 7, 9, 8, 1 in the above terms…

Q: 2. There are 7 terms in a geometric progression such that the first term is 4 while the fourth term…

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Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

A: Determine whether the given sequence is arithmetic, geometric, orneither. If the sequence is…

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.