The ratio of three numbers is 2:5:7. If 7 is subtracted from the second number, the resulting numbers form an arithmetic progression. Determine the smallest of the three numbers.

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: If (a-1) , (a+3) and (a+12) are consecutive terms in a geometric sequence find the first term and…

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Q: Given the sequence of numbers: {-3,9,-27,.} a) What kind of set is the sequence? b) What kind of…

A: As per our company guidelines, we can solve first three sub-parts for you. If you want other…

Q: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

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Q: In an arithmetic sequence, the first term, a1, is equal to 9, and the third term, a3, is equal to…

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Q: Given the first term and the common ratio of a geometric sequence find the first five terms and the…

A: We can find the answers using the properties of geometric progression as below

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: 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: The first term of an Arithmetic Progression is 15 and the last term is 85. If the sum of all terms…

A: As per our guidelines we are supposed to answer only first question please repost other parts in the…

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 common ratio, the 8 term, and the three terms in the sequence after the last one given.…

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Q: QUESTION 16 Consider the following: 3, 15, 75, 375, 1875, ... A - Identify the type of progression:…

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Q: In a geometric sequence t, = 625, and the common ratio is r = For what value of 1s t %3D 25

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Q: The 5th term of a geometric sequence is 1229 and the 13 th term is 206. Write an equation involving…

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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: 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: Given the geometric progression Find the sum of the first 9 terms of the sequence. 7, 35, ...) 25 5…

A: Given GP is 725, 75, 7, 35, ...

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 sum of two consecutive terms in the arithmetic sequence 1​, 4​, 7​, 10​, ... is 299​; find these…

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

A: Topic = Series

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: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

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: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

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Q: Find the seventh term of the arithmetic progression x, x+y, x+2y,....

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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 Physics class, Zoe learned that because of energy losses, when a basketball is dropped to the…

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Q: The common ratio in geometric sequence Is 3/2, and the fifth term is 1. Find the first three terms.

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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: 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: The second term of a geometric progression is 2 3 and the fourth term is 1 54 . If all the terms are…

A: We know that a geometric progression is given as: a+ar+ar2+ar3+ar4... where 'a' is the first term…

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

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

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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 sequence of numbers, the first term is x and each term thereafter is twice the previous term.…

A: solution is given below

Q: The sum of three consecutive terms of a geometric sequence is 104 and their product is 13824.find…

A: Let the three consecutive terms of a geometric sequence be a, ar, ar2.

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: if the pattern continues, what will be the next term in te sequence 4, 1, -2, -5?

A: Given4,1,-2,-5

Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

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: If the numbers r, z+1, 2(z +3) are consecutive terms of a geometric sequence, what is the value of…

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Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: We have to find terms

Q: The sum of first 6 terms of an arithemetic progression is 42 the ratio of its 10th term to its 30th…

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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: Given the sequence of numbers: {-3,9,-27,..} a) What kind of set is the sequence? b) What kind of…

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