Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the sixth term is 456.

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: Write the first five terms of the geometric sequence whose first term is 5, and whose common ratio…

A: Given, the first term is 5 and common ratio is 3.

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

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Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

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

A: i have given the formu;a i have used in the solution   and all the functions are standard contineous…

Q: Find the 12th term of the geometric sequence if the first term is 2 and common difference is 3.

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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: Write the first four terms of the sequence whose nth term is:

A: We need to calculate the first four terms of the sequence

Q: The sum of first six terms of arthematic progression is 42. The ratio of its 10th term to its 30th…

A: In the question it is asked to calculate the value of first and thirteenth term of AP.

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: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…

A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…

Q: Find the sum of the first 12 terms of the sequence3, 6, 9, ......

A: The given sequence is 3, 6, 9, ......

Q: 2'4

A: Given geometric sequence is : 1, 12, 14, ....

Q: Find the common ratio of the infinite geometric sequence whose sum is -11/13 and the first terms…

A: The detailed solution is given below Thank you

Q: Find the 38th term of a sequence where the first term is −11 and the common difference is 2.

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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 5th term of the arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.

A: Let the first term is = a and common difference = d So, n th term of arithmetic sequence is given by…

Q: Find the sum of the first five terms of geometric sequence. a1 = 6.324, r = 2.598

A: Given, geometric sequence with a1 = 6.324, r = 2.598

Q: Find the sum of the first 14 terms of the geometric sequence: , 3, -6, 12, ...

A: Given geometric sequence is,

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 a sequence in which the first term is 2 and each term is 6 more.

A: It is given that, first term is 2 and each term is 6 more

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=

A:

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

A:

Q: Write the first five terms of a sequence in which the first term is 2 and each term is 6 more than…

A: We have to find first five terms of the sequence where first term is 2 and each term is 6 more than…

Q: Find the sum of the first 18 terms of the geometric sequence: 2, -8, 32, -128, . . . .

A: The given geometric sequence: 2, -8, 32, -128 first term (a) = 2 common ratio r=ara=-82=-4 number of…

Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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Q: Find the sum of the infinite geometric progression 6, -2, 2/3 …

A:

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: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.

A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…

Q: In an arithmetic progression the 17th term is 3 times the 6t term. If the 11th term is 63, what us…

A:

Q: Find the common ratio of the geometric progression whose first term is 1 and which the sum of the…

A: Find the common ratio of the geometric progression whose first term is 1 and which the sum of the…

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: 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: Find the 9th term of the geometric sequence. 2, -6, 18, -54, ...

A: As per guidelines we can solve only one question at a time, So if you need more answers kindly…

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: If the fourth term of a geometric progression is -4 and the fifth term is 8​, find a1 and r.

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

A:

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

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Q: The product of the first term and the 6th term of an arithmetic sequence is -38. The sum of the 3rd…

A: Topic - arithmetic progression

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 sum of the first 50 terms of the sequence 12, -12, 12, -12, ...*

A: Solution...