An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.

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: 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 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: Find the first five terms of the arithmetic progression whose fourth and eleventh terms are 30 and…

A: Given the fourth and eleventh terms of an arithmetic progression is 30 and 107

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

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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 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: 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: The 10th term of an arithmetic progression is 4 and the sum of the first 7 terms is -28. Find the…

A: General formula of nth term of arithmetic progression is an=a+n-1d. 10th term is 4, that is a10=4…

Q: A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An…

A: Topic - arithmetic progression  And geometric Progression First term is 175 and last term is 205…

Q: In an arithmetic progression, the sum of the first five terms is 30, and the third term is equalto…

A: We have given  Sum of the first five terns of an arithmetic progression = 30 S5 = 30 Sum of n terms…

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

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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: The sum of three numbers in a geometric progression is 14. If the first two terms are each increased…

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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: 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: 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: The sum of the terms of an infinite geometric progression is 35 and the common ratio What is the…

A: S∞=35r=25a=?

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

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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: A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An…

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

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Q: The first term of an arithmetic sequence is -12. The common difference of the sequence is 7. What is…

A: We have to find the sum of  first 30 terms of the sequence

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: 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: 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: Which term in this sequence would first exceed or equal 32,000?  What is the sum from the 1st term…

A: Given GP - 3100, 4247 ......4247 is the term which will exceed the 3200.Hence, only one term 4247…

Q: 3. The sum of three numbers in geometric progression is 52. If 8 is added to the middle number, the…

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

Q: A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An…

A: Solution and Explanation is given below....

Q: The first term of a geometric progression is 12 and the fifth term is 55. Determine the 8th and the…

A: Given information: The first term of a geometric progression is 12 and the fifth term is 55. Concept…

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

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

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