104. PROVE: Exponentials of an Arithmetic Sequence If a1, az, az, .. is an arithmetic sequence with common difference d, show that the sequence 10", 10", 10", . .. is a geometric sequence, and find the common ratio.

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: 4. Find the 52nd term of the arithmetic sequence: 3, 7, 11, 15, ...

A: To find The 52nd term in arithmetic sequence 3,7,11,15,....

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: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: Find the number of terms in the given finite arithmetic sequence 12,8,4,0,...-188

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Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

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Q: What is the common difference of the arithmetic sequence 5,8, 11, 14? 1) 2) -3 3) 3 4) 9

A: Given arithmetic sequence is 5,8,11,14 find the common difference of arithmetic sequence  d=an-an-1…

Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = 6, r = Preview

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

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Q: 12. Describe what is the difference between an Arithmetic sequence and a Geometric sequence.

A: we have to find difference

Q: PROVE: Reciprocals of a Geometric Sequence If a,, az, az, ... is a geometric sequence with common…

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Q: 11. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, what…

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Q: 1. The first term of an arithmetic sequence is 9689 and the 100th term is 8996. a) Find the general…

A: The solution is given below

Q: a1 = -1, and for n = 2, 3, 4, .. What is the common ratio, r, for this sequence? O -- O r--1

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Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

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: What is the common difference of the arithmetic sequence 5, 8, 11, 14? 8 1) Š 2) -3 3) 3 4) 9

A: Introduction: An arithmetic sequence is the foremost sequence in mathematics. The terms follow a…

Q: 1. How many terms are there in an arithmetic sequence where a̟ = 12,an = 60 and d = 8? %3D

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

Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

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Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

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Q: Identify whether the following sequence is an arithmetic sequence or geometric sequence 1,3,9,27

A: The detailed solution is given below Thank you

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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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: th Find the 79" term of the following arithmetic sequence. 8, 17, 26, 35, ...

A: To find the 79th term of the folllowing arithmetic sequence.   8,17,26,35,.....

Q: 1.Write the first four terms of the arithmetic sequence with first term is 8 and common difference…

A: A sequence is a set of numbers that has a particular order or obeys a general form. The nth term of…

Q: What is the 5th term of the geometric sequence 3/20 3/2 and 15 question

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Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

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Q: 12. Determine the first five terms of the arithmetic sequence having these values: a, =-97; a, =…

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

Q: If the 100th term of an arithmetic sequence is 902, and its common difference is 9, then its first…

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203…

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Q: 3.Find the rule for the Geometric Sequence: 4,12,36,108.......2916

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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Q: Find the missing term in each of the arithmetic sequence.. 1. 5, 15, , 25 4.49, 42, 28 1 2. -1,-5, ,…

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Q: de if the sequence is arithmetic, geometric, or neither. 1, 4, 9, 16, ... 14) 10, 3, -4, -11, ... 2,…

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Q: 6. Write an explicit formula for the geometric sequence 33, 99, 297, 891, ..

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Q: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

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Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

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

Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, then the…

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Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

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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: 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: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40

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Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…

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Q: 1. Find S15 for the arithmetic sequence {4, 10, 16, ... }

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

Q: Find the indicated term of the geometric sequence. 10) 8th term of 1, 10) 11

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Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, if the nth…

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Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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Q: For the geometric sequence (6, 18, 54, 162, , the term a13 : 312 O 3.35 O 6-314 O 3.37 6- 312

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