The 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

Q: Fin the 9th term in the harmonic sequence 1/11, 1/15, 1/19, 1/23, ..? What is the nth term of the…

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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: The sums of nth term of three arithmetical progression are S,,S, and S,.The first term of each is…

A: We will solve the problem

Q: Find the first five terms and the 14" term of a sequence with 2n +1 general term a, 2n-1

A: Given,         The first five terms and the 14th term of a sequence with the general          term ,…

Q: If the 8th term of an arithmetic series 39 and the 20th term is -33. What is the common difference?

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Q: A town has a population of 5000 persons, but is expected to grow by 2% every year.    (i) What…

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Q: The first term of a geometric sequence is 4, and the second term is 1. Find the 5th term. I…

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Q: 11 and the 13" term, a,3, is equal to 33. Find the value of the 17t" For a given geometric sequence,…

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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: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: We need to determine the first three terms of the given sequence using the given general formula.…

Q: Write down the first five term of the geometric sequence with has first term of 1 and common…

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Q: The formula for the sum s of the first n terms in a geometric sequence is given by , where a is the…

A: The patient takes 200 mg of the drug after every 12 hours for 10 days .  Therefore , since 1 day =24…

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

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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: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72. What is…

A: We have to find the sum of the first 12 terms of the geometric sequence where first term is 8,…

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: Find the nth term of the geometric sequence whose initial term is a1 9.5 and common ratio is 10. %3D…

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Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

Q: The 4th term of a geometric progression is and the seventh 16 term is 81 20 find the geometric…

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Q: The sum of three terms of a geometric sequence is -3, and the second is 6 more than tl first Find…

A: The solution is given below.

Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: How would you classify the sequence 0.45,0.045,0.0045, 0.00045,..... A. Arithmetic Series B.…

A: Given sequence

Q: Find the 10th term of the geometric sequence. aj1 = -5, r = - %3D %3D 10th term:

A: →nth term any geometric sequence is given by,                            an = a1 rn-1 , Where a1  is…

Q: 2) Find the 10th and 20th terms of the geometric progression with first term 3 and common ratio 2.

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Q: D. Determine each geometric series. Use the graphing calculator to verify your resu. 10. The sum of…

A: The geometric series is given by a, ar2, ar3, ......arn-1 where, r common ratio and a is the first…

Q: A machine is driving a 5.5 foot post into the ground. The first hit drives the post 18 inches into…

A: If machine run forever, post will driven into the ground by 48inch.

Q: Find the sum of the infinite geometric series.

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Q: Find the sum of the geometric series. 40 - 2 +0.10 -... The sum of the series is (Simplify your…

A: Consider the given series. 40-2+0.10-… First, find the value of r. r=-240=-120 And, r=0.10-2=-120…

Q: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

Q: 1. Find the 30th term of the 1 1 harmonic sequence ;, ,0, –? - 4'2'

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Find the nth term of the geometric sequence whose initial term is aj = 4.5 and common ratio is 4. an…

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Q: Find the sum of the geometric series. 2.5 15 25

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Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

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Q: 6. The solution of the equation of 23x = 4x +1 is __________.

A: Solve the exponential equations

Q: Each person has two parents, four grandparents, eight great-grandparents, and so on. What is the…

A: Hence,the number of ancestors preceding the person is 2046.

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: Find the sum of the infinite geometric series if it exists.

A: To find: The sum of given infinite geometric series. Given information: The series is 1-12+14-18+⋯…

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: A. Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5…

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Q: 1. Find the 30th term of the 1 1 1 harmonic sequence ,0, –? - - - 4'2' 2 2 How many multinles of -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of…

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Q: Find the first 10 terms of the sequence an 5n + 2. its 9th term is its 10th term is

A: To find the first ten terms of the sequence substitute n=1,2,3,........9,10 in an

Q: The 4th term of a geometric progression is 2/3 and the seventh term is 16/81 find the geometric…

A: If the first term of Geometric progression (GP) is a and common ratio is r than nth term of…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

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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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.