Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

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: How to insert an infinite end-number for the summation notation. How to solve this question.

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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: A sequence is described. First term=7 Common ratio=2   which  is an equivalent for this sequence…

A: Given that A sequence is described. First term=7 Common ratio=2 To find The nth term of the sequence…

Q: -, 1-, 3, 6, 12, 24 ...; find the 10th term and the sum of the first 10 terms.

A: The solution is given as

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: What is the 100th term of the sequence –3, 2, 7, 12, ...?

A: Given: Sequence: –3, 2, 7, 12, ...?   To find: 100th term of the sequence. Formula to be used:…

Q: Find the limit of the sequence whose terms are given by: a-sub-n = (n^2)(1 - cos(6/n))

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Q: sequer with first term 6 and 56th term 226. 41. Find the sum of the first 70 terms of the arithmetic…

A: 41.In an arithmetic sequence, first term=10 and common difference=12

Q: Find the first term and the common difference of the arithmetic sequence whose 8th term is 1 and…

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Q: Find the Sum to infinity of the sea tès - Ce30 t ces 20 - 1-3 1-3.5 ces 30 + - (-nCBCIT). 2.4 2.4-6

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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: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

Q: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, ... Enter the 9th term of…

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Q: Find the first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…

A: Explanation of the solution is given below...

Q: Determine how many terms are required for the sum of the series 10k2 – 4k + 2, k = 1,2,3, ... to…

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Q: - Determine the interval of convergence for the series whose nth term is-2) n (5") . Find the…

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Q: Find the limit of the sequence 14n2 – 8n – 7 1 18 – n + 7n² . - - - n=1

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Q: Find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5.

A: We have to find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5…

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: Give an example of a convergent infinite series whose sum equals 2/11 . Explain how you know that…

A: To find the series which is convergent and whose sum is 211

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: A geometric sequence is a sequence in which theof successive terms is constant.

A: In a geometric sequence, the ratio between successive terms is constant. Geometric sequences grow or…

Q: Find the limit of the sequence * a, = ī sin(--), n = 1,2, 3, ... 3

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Q: The first, third and sixth terms of an arithmetic sequence form 3 successive terms of a geometric…

A: We use basic of arithmetic progression and geometric progression.

Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

Q: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, . Enter the 9th term of…

A: nth term of geometric sequence is given by =an=a1rn-1 Where r=a2/a1

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: The first week, a patient engages in various exercies for 4 minutes every hour while awake. For each…

A: Explanation of the answer is as follows

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is −5 and…

A: In airthmetic sequenceuse formula nth term tn=a+n-1d7th term t7=a+7-1d=-5a+6d=-5--116th term…

Q: Predicting the next term. Predict the next term of the sequence. -4,-1, 14, 47, 104, 191, 314, ?

A: We have to solve given problem:

Q: recursively defined sequence

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Q: First four partial sums of the series, then find the limit as n approaches infinity if the 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: Find the 100th arithmetic sequence with 1st term 5 and eighth term 19

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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 sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: Discuss the non decreasing and Bounded of the sequence 5,5,5,5,5

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Q: Match each sequence to its general rule.

A: Given sequence, 14, 1, 4....

Q: the sum of the first 40 terms of the arithmetic sequence.   −16​,−25​,−34​,−43​,...

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Q: What is the 11th term of the geometric sequence −1.5,−3,−6,−12,…?

A: Given series ,-1.5 , -3 , -6 , -12 ,---first term , a1=-1.5Common ratio , r=-3-1.5=2

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 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

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

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Q: The first three terms of a geometric sequence are as 5, -20, 80 Find the next two terms of this…

A: A sequence is a function with domain being set of natural numbers and the range being the set of…

Q: List the first four terms and the tenth term of sequence:

A: 2+0.1n Put n=1, we get 2+0.11=2+0.1=2.1 Put n=2, we get 2+0.12=2+0.01=2.01 Put n=3, we get…

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.