In an arithmetic progression the 17th term is 3 times the 6t term. If the 11th term is 63, what us the sum of the first 20 terms?

Q: The sum of the 10 terms of an arithmetic sequence is 530. What is the first term it the last term is…

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Q: Eighty loaves of bread are to be divided among 4 people so that the amounts they receive form an…

A: Given,          Eighty loaves of bread are to be divided among 4 people so that the amounts they…

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: Find the 57th term of an arithmetic progression when the 1st term is -18 and the common difference…

A: We use the nth term of an arithmetic progression to answer the given question.

Q: List the first 5 terms of the sequence whose nth term is 3n - 2". Is it arithmetic progression or…

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

A: Given, There are 7 terms in a geometric progression First-term of geometric progression = a= 4…

Q: b. Find the first five terms of the Geometric progression whose first term is 2 and fourth terms is…

A: As a g.p. is always of the form a,ar,ar2,ar3,... Here a is the first term and r is the common ratio,…

Q: what is the sum of the first 11 terms of geometric progression

A: The sum of the first 11 terms of geometric progression

Q: The second term of an infinite geometric progression (|q|<1) is 21 and the sum of the progression…

A: Let the first term= a and common ratio=r  Given the second term= 21 So, ar=21

Q: In an Arithmetic Progression the 17th term is 3 times the 6 th term. If the 11 th term is 63, what…

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Q: The third term of an AP is four times the sixth term and the sum of the first ten terms is 150. Find…

A: The solution is given by using formulaes for nth term and sum of n terms as below:

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

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Q: The ratio of three numbers is 2:5:7. If 7 is subtracted from the second number, the resulting…

A: Explanation of the answer is as follows

Q: what are the next three terms in the progression 1, 4, 16 ... ?

A: We can find the next three terms of the given progression as below.

Q: Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the…

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Q: We are given an arithmetic sequence in which the fourth term is 20 and 13 ^ (th) term is 65. Write…

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Q: A Geometric Progression has the following terms: 5000, 5550, ... . Which term in this sequence would…

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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: "If the second term of a geometric progression is 6 and the fourth term is 54, how many terms must…

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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: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

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: ifth term and twice the third of an arithmetic progression equals the twelfth term. if the seventh…

A: Introduction: Arithmetic progression is a progression in which each term following the first is…

Q: The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find…

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Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

Q: find the 20 term in a geometric progression 1,2,4...

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Q: For the arithmetic progression: 5+9+13+……   . Find the sum of the first 40 terms.

A: For the arithmetic progression: 5+9+13+…… n = 40 we have to find the sum of the first 40 terms, S40…

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 infinite geometric progression 6, -2, 2/3 …

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Q: An arithmetic progression has the first term of 32, the 5th term of 22 and the last term of −28.…

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Q: What is the 8th term of geometric progression if the 4th term is 189 and the sixth term is 1701?

A: In geometric progression, terms are obtained by multiplying the previous term with the same number,…

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

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

A: Given query is to find the sum of first 11 terms of geometric progression.

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

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

Q: In a geometric progression the first term is 153 and the sixth term is 17/27 . The sum of the first…

A: we have to find the sum of the first four term

Q: In a certain arithmetic progression the 20th term is 32 and the common difference is 3 find the…

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

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Q: Find four numbers that form a geometric progression such that the second term is less than the first…

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Q: Which term of the progression 4 , 9, 14, 19 ...... Is 109?

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Q: Find the first five terms of the Geometric progression whose first term is 2 terms is 54. Also find…

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Q: 1) In an AP the 9th Term is 73 and the 4th Term is 43. What is the sum of the first twenty terms?…

A: Formula: The nth term in the arithmetic progression is: an=a1+n-1d where a1 is the first term and d…

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

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Q: Find the geometric progression if the 5th term is 12 and the 8th term is 324.what is the sum to…

A: Let the geometric progression is a, ar, ar2, ar3, ar4, ar5, .... Given the 5th term is 12 That is…

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

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Q: Find the 57th term of an arithmetic progression when the 1st  term -18 and the common difference is…

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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.