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

Q: In an Arithmetic Progression the 8th term plus the 4th term equals the 13th term. If the 18th term…

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Q: The sum of the first 17 terms of an arithmetic progression is 187. If the 17th term is -13, what is…

A: sum of first 17 term is 187 and 17th term is -13

Q: Find the sum of the first 11 terms in a geometric progression 1,–2, 4, –8, ... .

A: i have given the formu;a i have used in the solution   and all the functions are standard contineous…

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: What is arithmetic progression in simple words?

A: Arithmetic progression is a sequence of numbers such that the difference between any two consecutive…

Q: Find the sum of the first 12 terms of the geometric sequence 3, -9, 27, -81, 243, ..

A: Geometric sequence 3,-9, 27,-81, 243.... To find :- Sum of first 12 terms of given sequence

Q: a The sum of the first 10 terms of an arithmetic progression in which the first term 5. is 8 is 620.…

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Q: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the…

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

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Q: 3. Find the 94th term of the arithmetic progression whose fourth term is 3/3 and whose 47th term is…

A: Given, a4=33a47=463

Q: An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum…

A: For an arithmetic progression, the difference between two consecutive terms is a constant. An…

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum 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: A Geometric Progression has the following terms: 5000, 5550, ... . Which term in this sequence would…

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Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

Q: What is the nth term in the arithmetic progression 1,4,7, 10....

A: Consider the given series as 1,4,7,10...

Q: Find the sum of the first 8 terms of the geometric progression: 2, 4, 8, 16,... -. What is the sum…

A: The geometric progression is a sequence that is formed by multiplying a constant term to the…

Q: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 What is the sum of the first…

A: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 General formula for nth term…

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: 5. The base of a right triangle right triangle is equal to the sum of the first ten, consecutive odd…

A: Given problem:- The base of a right triangle is equal to the sum of the first ten, consecutive odd…

Q: In the arithmetic progression 2, 5, 8, . upto 50 terms, and 3, 5, 7,9, .upto 60 terms, find how many…

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Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 …

A: To find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 ...

Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

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Q: In an arithmetic progression the 17th term is 3 times the 6t term. If the 11th term is 63, what us…

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Q: 7. If the 3rd term of an arithmetic progression is 4 and the 9th term is -14, solve for the common…

A: Given: The 3rd term of an arithmetic progression is 4 and the 9th term is -14. Required: To find the…

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: Given the first three terms of an arithmetic progression as 2x, x+4 and 2x-6 respectively. Find the…

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Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Find the sum of the first 12 terms of an arithmetic progression whose 7th term is 5/3 and with a…

A: General terms  of  an A.P. is  = a ,  a+d , a+2d , a+3d ,a+4d , a+5d , a+6d  and so on ...... Where…

Q: Find next three terms of geometric progression 5,25,125

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Q: There are three numbers in geometric progression whose sum is 26. If the first is increased by 2,…

A: The arithmetic and geometric progressions are two important rule that terms of a sequence follow to…

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: What is the sum of the first 50 terms in an arithmetic progression if the 3rd term is 10 and the…

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

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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: 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…

Q: In the arithmetic progression 2, 5, 8, .. upto 50 terms, and 3, 5, 7, 9, .upto 60 terms, findhow…

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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.