Three numbers, of which the third is equal to 36, form a geometric progression. If 36 is replaced with 20, then the three numbers form an arithmetic progression. Find the initial three numbers.

Q: Given a geometric progression 64, 32, 16,…, find the sum of all the terms from sixth term to the…

A: Solved below

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: 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: Given the progression of 1/2,1/4., 1/6..find the sum of the first 15th terms.

A: 1) The given sequence is harmonic progression. As per our guidelines we are supposed to answer only…

Q: n of a geometric progression is -108 and sixth term The common ratio

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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: Find the next three terms of each geometric sequence. 12.-5, -20, -80...

A: Solved below

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: Three numbers, of which the third is equal to 36, form a geometric progression. If 36 is replaced…

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

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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: Given the parameters of an infinite geometric progression, find the sum of its terms. 2 a = 20, r= -…

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Q: If 4, x, y form an arithmetic progression and x, y, 18 form a geometric progression, what is the…

A: Three numbers a,b,c are A.P. then the difference between the two consecutive numbers remains…

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: In a geometrical progression, the sum of the second and third terms is 9,and the seventh term is…

A: Given Information - In a geometrical progression, the sum of the second and third terms is 9,and the…

Q: In geometric progression if the first term is 2 and 6th term is 6250, then find the common rat

A: We have to find

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: n a geometric progression, the third term exceeds the first term by 9 and the sum of the second term…

A: Topic = Series

Q: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the…

A: The objective is to find  the difference of the progression.

Q: given that 3 + x, 6x and 3x2 + 7 are three consecutive terms of an arithmetic progression. Find the…

A: In This question we are given that the terms are consecutive terms are terms of airthmetic…

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: The sum of three numbersin arithmetic progression is 60. If the first be diminished by 3, the second…

A: Given The sum of three numbers in arithmetic progression is 60 and   If the first be diminished by…

Q: The first term and the last term of an arithemetic progression are 17 and 350  respectively . If the…

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Q: In an arithmetic progression the first term is 5 and the common difference is 3. The nth term of the…

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Q: d) What are the extremes of the progression? e) What are the means of the progression?

A: The first and last terms of the sequence are called arithmetic extremes.The terms in between are…

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

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Q: For which term does the geometic Sequence an = -36(?)^:/first have non-integer ralue a

A: Given, an=-3623n-1

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: {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: 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: Three numbers are in an arithmetic progression with a common difference of 6. If 4 is subtracted…

A: Given data is : Common difference is 6 Let the three number in AP is a,a+6,a+12 From question , a-4…

Q: If (4/5) , a,2 are three consecutive terms of an arithemetic progression then find the value of a.

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Q: Find the 20 term of a geometric progression 1,2, 4, ...

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Q: 2. Find the first three terms of geometric Progression whose sum is 342 and product is 74,088 Let…

A: Solution : First three terms of GP are, ar,a,ar Sum of first three terms of GP=342 ar+a+ar=342  …(1)…

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: Question (3b): In an arithmetic progression the sum of first ten terms is 400 and the sum of the…

A: Given: Sum of first ten terms is 400 and sum of the next ten term is 1000 To find the common…

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

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Q: An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is?

A: Formula,   S(n) = (n/2) * [2a + (n-1)*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: Given the parameters of an infinite geometric progression, find the sum of its te a = 15, r =. %3D…

A: Given data: The first term of an infinite geometric progression is a1=15. The common ratio is r=1/5.

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: Determine x so that (4x), (5x+4), (3x^2 -1) will be an arithmetic progression. Show complete…

A: We know that in an arithmetic progression the common difference between two consecutive terms is the…

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

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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: In a Geometric Progression given, find the sum of the first term and the common ratio: an = -96, n…

A: The nth term is given by an=arn-1. The sum of geometric progression is given by Sn=a1-rn1-r.

Q: It is given the first three terms of a geometric progression are 1/5 , 1/25 and 1/125. Find the sum…

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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: 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.