The sums of nth term of three arithmetical progression are S,,S, and S,.The first term of each is unity and the common difference are 1, 2 and 3 respectively. TuOun thot S

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: A town has a population of 5000 persons,  but is expected to grow by 2% every   What would be the…

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: Which one of the following sequences is an arithmetic progression? 3,6,12,24,48,... O 1,4,9,16,25,..…

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: find the sum of the first 15th terms in the given progression of 1/2,1/4, 1/6……… (complete…

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Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: (a) The first 3 terms of an arithmetic progression are ?, 5?, 7? − 4. Find (i) the value of ?,…

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Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

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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: Find all arithmetic progressions with a difference 10 formed of more than 2 primes.

A: We have to find all arithmetic progressions with a difference 10 formed of more than 2 prime.

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: If a, a az . a, is an arithmetic progression with common difference d, then show that .... -1 +tan…

A: Introduction :

Q: The sum of first six terms of an arithmetic progression is 42.The ratio of its 10th term to its 30th…

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Q: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio…

Q: Consider the following arithmetic progression 2, 7, 12, 17, 22, 27... Find the 20th term

A: The given Arithmetic Progression is 2, 7, 12, 17, 22, 27, ... Here, the first term is a=2. The…

Q: QUESTION 8 Identify the 25th term in the progression 7, 10, 13, … 25th    1. 25   2. 79     3.…

A: Term in the progression 7, 10, 13, …25 To find 25 th term

Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…

A: a = 10 ,   a10 = 2   Using an = a + n - 1da a10 = a +  n - 1 d         2  = 10 + 9 d2 - 10  = 9d…

Q: 4) Find x if the sequence 3, 6, 2x+5, is a) arithmetic b) geometric.

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Q: The 4th term of a geometric progression is and the seventh 16 term is 81 20 find the geometric…

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Q: For each arithmetic sequence, find the term named in the problem, the explicit formula, and the…

A: Given arithmetic sequence is as below

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: 2) Find the 10th and 20th terms of the geometric progression with first term 3 and common ratio 2.

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Q: a. The third and eighth term of an Arithmetic progression are 470 and 380 respectively. Find the…

A: As per our guidelines we are supposed to asnwer only one asked question.So kindly repost other…

Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10…

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Q: 3) The value of az in a geometric sequence given ba, + a, = 16a, a10 = 62 and all terms are postive,…

A: It's a geometric sequence problem so for better understanding I'm providing hand written solution.

Q: Let an​ be an arithmetic progression. If a1​=4 and a2​=7, determine a11​

A: Arithmetic progression

Q: 10. (a) Explain why the first n natural numbers, {1. 2, 3, -, (n-1), n}, is an arithmetic…

A: 10. In this question, we need to show that the sum of first n natural numbers is 12nn+1 and then we…

Q: Write an expression for the apparent nth term (an) for each sequence   #1) 1, 5, 9, 13, .........

A: Given that Sequence 1, 5, 9, 13, ......... nth term is tn=a+(n−1)d Where a is the first term of…

Q: {an} is an arithmetic progression with an non-zero common difference.the sum of all terms between…

A: Finding nth term of A. P progression whose value is 7

Q: The 3rd term of an arithmetic progression is 4 and the 9th term is -14. Find the sum of the first…

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Q: The first term of an infinite geometric progression is 5 and the sum of its terms is 20. What is the…

A: Given that  First term of G.P is  a=5 The sum of infinite terms is  S=20 We have to find common…

Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

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: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

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Q: 1) Write down the 10th and 19th terms of the arithmetic Progressions 8, 11, 14, . ..

A: A sequence an Is said to be arithmetic if a2-a1=a3-a2=...=an-an-1=d (say) Then nth term of the…

Q: f 3rd term and 9th term of an arithmetic progression are 4 and - 8 respectively which term of the…

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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: 1. If the expressions 3x+2, x^2,6x+3 whole numbers, find the value of x. forms an Arithmetic…

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Q: A test question lists the first four terms of a sequence as 2, 4, 6, and 8 and asks for the fifth…

A: Given sequence is: 2,4,6,8, Here we observe that: 4-2=26-4=28-6=2 Thus, we observe that each…

Q: Identify the type of each sequence. 0, 1, 1, 2, 3, 5, 8, 13, 21, ... A. Geometric progression v -2,…

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Q: If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of…

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

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Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

Q: the sum of the first n terms of an arithmetic progression is given by Sn=3n2 - n i) common…

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Q: The first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... Express k in terms…

A: Given that the first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... . we…

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.