Determine the nth term of the sequence. Where applicable, use the '^' sign for exponents. For example, if my solution were ()", I would write (1/2)^n. No spaces. 2/3, 4/9, 8/27, 16/81, ... An =

Q: If third and seven terms of geometric sequence is 45 and 100 respectively.then find its nineteenth…

A: Given data: The third term is a3=45. The seventh term is a7=100.

Q: 19 17- -(9n+1) (9n

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Q: Find the sum of the first EIGHTEEN terms of the given sequence where - is the eighteenth term. *If…

A: Topic:- sequence and series

Q: Find the 5th term of the geometric sequence with first terma1 = 5 and common ratio r = - 2

A: A geometric sequence is a sequence where each term is found by multiplying the previous term by a…

Q: Find the first 4 terms of the sequence with first term5 and nth term an = an-1 - 2.

A: Given: The first term of the sequence, a1 =5 And the nth term,…

Q: Explain why 12,6,4,3 is a harmonic sequence. Find its nth term.

A: the given sequence is 12,6,4,3. write the reciprocals of the terms, 112,16,14,13 now note that:…

Q: What is an example of a sequence that converges to 5?

A: A sequence is convergent to a point "P" , if there is a point "P" which repeats infinitely many…

Q: Find the sum of the first 5 term of geometric sequence where first term is 3/5 and where common…

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Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: List the first five terms of the sequence whose 2.. nth term is 3" – 2". Let n = 0, 1, - Saved

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Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

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Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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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: A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence…

A: Given that      A certain species of tree grows an average of 0.5 cm per week. Here we have to write…

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

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Q: If 77, 49 , 36 are my first three terms of the sequence what are my next two and what is the rule

A: The first three terms of the sequence are 77, 49, 36. Find the next two terms as follows.

Q: me sequence whose nth term is

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Q: Determine the sum of the first 10 terms of the sequence whose general term is given by ((3^n) – 2).

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Q: What is the sum of the first 50 terms of the arithmetic sequence whose first term is a1=8, with…

A: We will find out the required value.

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: Find the 28th term of an arithmetic sequence if the first term is 14 and the common difference is…

A: Given, first term a=14 common difference d=12 n=28

Q: Dr. Anthony Fauci, director of the National Institute of Allergy and Infectious Diseases, said…

A: Given:  The 1 infected person infects 33 other persons in the worst case scenario.    To find:  The…

Q: Find the sum of the first 15 terms for the sequence: 7,10, 13, 16, 19,

A: We have 7,10,13,16,19,.........15th termFirst term a=7common Difference d=10-7=3

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: Find the nth term an of a sequence whose first four terms are given. -1, 4, -9, 16,...

A: nth term is given.

Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, . . . an

A: We have to find nth term

Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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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: Determine the sum of the first 8 terms of the geometric sequence. 3,-3, 3,

A: Given a geometric sequence.

Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24

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Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

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Q: what is the 10th term in an arithmetic sequence whose 3rd term is 17 and whose common difference is…

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Q: Anthony Fauci, director of the National Institute of Allergy and Infectious Diseases, said estimates…

A: Please refer to the image below

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

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Q: Explain why 12,6,4,3,.... is a harmonic sequence

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Q: Find the sum of the finite geometric sequence whose first term is 1.6, whose ratio is 0.5, and which…

A: Gp

Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

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Q: List the first five terms of the sequence whose n ,th term is 3" – 2“. Let n = 0, 1, : ...

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Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: Find the sum of the first 12 terms of the geometric sequence whose first term is 11 and whose common…

A: Given a geometric series with first term 11 and common ratio 5.

Q: Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it…

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Q: List the first 5 terms the sequence whose nth term is 3n - 2n

A: Given: 3n-2n

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 17 and…

A: The general form of arithmetic sequence is a,a+d,a+2d,......,Where a  is the first term of the…

Q: Find the nth term of a sequence whose first several terms are given. 7, 2, –3, –8, ... an

A:

Q: One statistic says that inflation in the US (on average) has grown by 4% per year since the late…

A: Introduction: Compound interest is interest that is compounded at regular intervals on both…

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 −1 and whose common…

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

Q: Find the indicated term of following sequence  1,1,-3,5,-7,9 ,---------a10 1,3,12,60---------a6

A: In this problem, we have to identify the relationship between the successive terms of the series to…

Q: Find the sum of the first 8 terms of the sequence. Show all work for full credit. 1, -3, -7, -11,…

A: It is ap.  Use formula of sum of n term of ap.

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.