The eight term of an AP is half uts second term and the eleventh term exceeds one third of its fourth term by 1 . Find the 15 th term

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 first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: 1 29. 5+1+-+..

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Q: Find the sum of the first 12 terms of the geometricsequence with first term 48 and common ratio1/2.

A: The geometric sequence is the sequence which is of the form a,ar,ar2,ar3,......  , where a is the…

Q: Find the first four terms and the eighth term of the sequence.

A: Consider a sequence an. Then, the terms of the sequence are given by: a1, a2, a3..., an, .... where…

Q: Find the sum of the first 15 terms of the arithmeticsequence with first term -4 and common…

A: Consider the given information as a=-4 and d=2

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: 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: Find the sum of first 20 terms of an AP in which 3rd term is 7 and 7th term two more than thrice of…

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Q: Find the first four terms in the sequence with the nth term 6n−2

A: Given the nth term=6n-2 We have to find a1,a2,a3 and a4

Q: If 6th  term of GP is 9375 and its 4th term is 375.Find its 9th term

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Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED.) 9(0.4)"…

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Q: There are 500,000 people living in the suburbs and the city each. Each year 80% in the city move to…

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Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: To find first four terms and seventh term of sequence .

Q: Find a formula for the nth term of the sequence. 3,9, 27, ... = X

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Q: find a formula for the nth term of the sequence. 1, 0, 1, 0, 1,...

A: Given the series:1, 0, 1, 0, 1…

Q: Find the sum of the first 35 terms of the series 6 + 11 + 16 + 21 + ….

A: I have provided a solution in step2.

Q: Find the sum for each infinite geometric series, if it exists. Explain why the sum exists, or does…

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Q: .Find the first four terms and the 100th term of the sequence whose nth term is given. an =2n−4

A: To find the first 4 terms we will plug n=1,2,3,4 respectively

Q: The sum of the first four terms of a geometric series is 100.8352 and the common ratio is 0.6. Write…

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Q: The fourteenth term is 2 /3 , and the ninth term is 1 /4 . Find the  first term and the nth term.

A: Given, a14=23a9=14 We know that, an=a+n-1d, where an is the nth term, a is the first term and d is a…

Q: 4) The first term of an AP is 3 and the last term is 17. If the sum of all terms is 150, what is the…

A: see the attached image 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: Whose nth term is the nth prime number find the first five terms.

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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: ex deposits  1000 dollars  into an account that earns a 5% coumpond interst. how much intrest will…

A: We have to solve given question:

Q: 1. If the 2nd term of a GPis 108 and the 5th term is 256, find the common ratio and the first term.

A: Given 2nd term of GP is 108 and the 5th term is 256

Q: Find the sum of the even integers between 35 and 49. The sum is ...

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Q: 3,-18,108,-648,

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Q: A sequence has nth term given by an = 5n – 2, find the value of n for which an = 153. A sequence has…

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Q: The first term is 1/2 and the second term is -1 /2 . Find the sixth term.

A: Given, a1=12, a2=-12 Here, d=-1 therefore the nth term is, an=a+n-1d

Q: A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans…

A: Given,         A farmer has a crop of 2000 orange trees at the beginning of this year. Each year,…

Q: 10, 15, 20, 25,30,35

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Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?

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Q: Find the indicated term of each 49. sixth term of (4h - j)8

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Q: Find the sum of first 24 terms of the list of numbers whose nth term is a. 3+2n

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Q: Find the sum of the infinite geometric series (if it has one): 11 36+24 +16+...

A: An infinite geometric series a,ar,ar^2,ar^3,........ has finite sum , if common ratio r<1 In…

Q: The fourth term is 12 and the seventh term is 32 Find the first and nth terms..

A: Find first and nth term

Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED 27 16 +…

A: Find the sum of series

Q: Find the next term of sequence 7/2, 19/2, 31/2, 43/2 and 55/2. Show complete solution and following…

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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: 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: I traveled from Mount Prime to Vertex Valley last week and 1/5 of the remaining distance in the…

A: We have to perform simple mathematics calculation to solve the problem

Q: The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms of…

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Q: If the 2nd, 3rd  and 4th term in a GP are 12, 36 and 108   What is the 1st term and the common ratio

A: It is given that, the 2nd, 3rd and 4th term in a GP is 12, 36 and 108.

Q: Find the sum of first 30terms of an ap whose second term is 2 and seventh term is 22

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Q: The twentieth term of sequence an = %3D 11+1

A: Here is the solution:

Q: Find the first four terms and the eighth term of the sequence.

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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.