Find the first five terms of the Geometric progression whose first term is 2 terms is 54. Also find the sum of these five terms.

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: The sum of the terms of an infinite geometric progression is 35 and the common ratio 1S What is the…

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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: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

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: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

A: Let the number be- a,ar,ar^2,ar^3 given a+ar+ar^2+ar^3=220 a(1+r)+ar^2(1+r)=220 (1+r)a(1+r^2)=220…

Q: Find the sum of the first 100 terms of the sequence: 4, -2, -8, -14, . . . .

A: GIVEN SEQUENCE,                         4, -2,-8,-14.......         LET…

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

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Q: Write the first four terms of sequence whose general term is given.

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Q: Find the 8th term of the geometric sequence 7, -21, 63, …

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

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Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: Find the sum of the first 8 terms of the geometric sequence 2, 6, 18, 54, ..

A: From the given statement, the geometric sequence is 2, 6, 18, 54, …Obtain the sum of the first 8…

Q: Find the sum of the first nine terms of the geometric sequence:2, -6, 18, -54, . . . .

A: we have to find the sum of the first nine terms of the geometric sequence: 2, -6, 18, -54, . . . .

Q: Find the 93rd term of the arithmetic sequence –11, -7, –3, ...

A: To find the 93rd term of the sequence

Q: Write the first four terms of sequence whose general term is given.an = 7n - 4

A: Substitution is process in which the value of the known quantity is substituted to obtain the value…

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 geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

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Q: Write the first 5 terms of the sequence whose first term and common difference are 5x and -2y,…

A: Our Aim is to write the first 5 terms of the sequence whose first termand common difference are 5x…

Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

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Q: Find the sum of the first 11 terms of the geometric sequence: 4, -12, 36, -108, . . . .

A: Sum of first n terms of a geometric sequence a, ar, ar2,... is Sn=a1(1-rn)1-r Where a1 is first term…

Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio…

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Q: Find the sum of the first 15 terms of the arithmetic sequence: -6, -3, 0, 3, . . . .

A: We have to find the sum of first 15 terms of the sequence: -6, -3, 0, 3, .... We know the sum of n…

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: Write the equation for the nth term of the geometric sequence 64,-32,16,-8,........ an=

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Q: Find the nth term of a sequence whose first several terms are give 3, 9, 27, 81, ... an

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Q: Write the first term of the arithmetic sequence whose fourth term is 21 and nineteenth term is 111.

A: Given query is to find the first term of a arithmetic sequence whose fourth and nineteenth term is…

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 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: . Find the next 3 terms of the arithmetic sequence 2, 5,8, ......

A: To find the next 3 terms of the sequence: 2,5,8... Solution: Given sequence is: 2,5,8... Here we…

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

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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: Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term equals…

A: It is known that the nth term of arithmetic sequence is an=a+n-1d where a is first term and d is…

Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

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

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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: 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: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

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Q: Find the sum of the first 19 terms of the sequence 9,2,-5,-12,.. explain each step

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Q: Find the sum of the first ten terms of the sequence: -20, 40, -80, 160, . . . .

A: We have to find sum of first ten terms. We have  -20,40,-80,160, . . . . It is a geometric series…

Q: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

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Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…

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Q: Find the 7th term of the geometric sequence whose common ratio is 3/2and whose first term is 4

A: The question is , to determine the 7th term of a geometric sequence whose common ratio(r) is (…

Q: Find the first four terms of the arithmetic sequence whose first term is -6 and whose common…

A: We have to find first four terms of the arithmetic sequence whose first term is -6 and common…

Q: Find the first four terms of the arithmetic sequence whose first term is −1 and whose common…

A: Given that first term of arithmetic sequence is -1 and common difference is 9.