Whst is the exact value of the limit of the sequence (7^(n+1)-7)/7^n?

Q: Thene is a Canchy sequence of rotional numbers which is not Converges to arational number 27

A: We have to find  to find a Cauchy   sequence  of rational  numbers which converges to a irrational…

Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

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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: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

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

A:

Q: The amazing grandeur of the Fibonacci sequence was discovered in the structure of Function O…

A:

Q: determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A: Using Desmos graphing calculator, I have got this graph.

Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

A:

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: Is the sequence convergent or divergent? Why?

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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: Compute the limit of a sequence as below. Please show all your work in ceive full credit. n +1 lim…

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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: 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: 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

A:

Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

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: What are the first five terms of the sequence defined over the natural numbers with the explicit…

A:

Q: It is a sequence where every term after the first is obtained by multiplying a non-zero constant. O…

A: To tell which is the sequence where every term after the first is obtained by multiplying a non-zero…

Q: find the nth term of a sequence whose first terms are given. −3, 5, 13, 21,...

A: One have to check the difference 5--3=813-5=821-13=8 So the common difference is 8 and the first…

Q: Find the first four terms of the arithmetic sequence whose first term is 6 and whose common…

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Q: Find the first four terms of the arithmetic sequence whose first term is 9 and whose common…

A:

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: recursively defined sequence

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Q: Write the first four terms of the sequence whose general term is given. Separate the terms with a…

A:

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: Find the 16th term of an arithmetic sequence if the first term is 26 and the common difference is .…

A:

Q: Find the sum of the first 20 terms of the sequence. 1, 4, 7, 10, ..

A: By using sum formula, we calculate the required sum of the sequence.

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: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

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Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

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Q: express using sum notation

A: The series represents  sum of cubes

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: Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

A:

Q: consider the sequence 1,1,2,1,2,3,1,2,3,4,1,2,3,4,5,.... determine the limit superior and limit…

A: We have to find limit superior and limit inferior

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: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

A:

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

A:

Q: What is the connection between the concept of the limit of a sequence and the limit of the function?

A: Solution

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A: Given: an=4-1n

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

A:

Q: Give a sequence of positive numbers which is NOT bounded and has exactly one limit point.

A: A real no.p is said to be a limit point if every neighborhood of p contains an infinite no. Of…

Q: Find the nth term of a sequence whose first several terms are given. -2, 5, 12, 19, ... an

A: Solve arthimetic progress nth term formula

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.