True or False: There exists a bipartite graph with degree sequence 4,3,3,3,3,2

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: The 2 – tail of the sequence Y = (1, 3, 5, 7, 9,... , 2n – 1, . ..) is: O Y = (7,9,..., 2n + 5, ...)…

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Q: Does there exist a graph with degree sequence 6,6,5,4,3,2,1. Either draw a graph or explain why no…

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Q: A graph has degree sequence (4, 4, 1, 1, 1, 1, 1, 1). How many such graphs are there, up to…

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Q: What is the generating function for the sequence {ck},where ck represents the number of ways to make…

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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: (a) Prove that the sum of the degree sequence of a simple graph is an even integer.

A: Given below the proof

Q: Show that the sequence 9,12,15,18, ... is an AP. Find its 16th term and the general term.

A: We need to show that the sequence 9, 12, 15, 18, ... is an AP. Here, 12 - 9 = 15 - 12 = 3. And the…

Q: (b) Determine whether the sequence S:4,5, 3,4, 4, 6, 2, 3, 2,3,0,0,1,1,2, 2 is graphical? If so,…

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Q: (2) Draw a graph with degree sequence 4,4,4,4,4,2,2,2 that has no closed Euler trail, or explain why…

A: Draw a graph with degree sequence 4, 4, 4, 4, 4, 2, 2, 2 that has no closed Euler trail, or explain…

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: Explain why there are no simple graphs with these degree sequences. (а) 6,6,5,3,2,2,2 (b)…

A: a) Given degree sequence is        6,6,5,3,2,2,2 We prove there is no simple graph with this degree…

Q: What does it mean for a sequence to be defined recursively?

A: A recursive sequence fnnadditionally known as a recurrence sequence is a sequence of numbers f(n)…

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 7 a = 4, r = -

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Q: (a) Decide whether or not there is a simple graph with degree sequence [0, 1, 1, 1, 1, 2].

A: In first part we have given degree of sequence and in second part number of student. We have to…

Q: define: geometric sequence

A: A geometric sequence (or geometric progression) is a sequence, in which each succeeding term of the…

Q: Find an increasing subsequence of maximal length and a decreasing subsequence of maximal length in…

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Q: Which term of the geometric sequence 6, 18, 54, … is 118098

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Q: The generating function of the sequence 4,4,4,4,4 is

A: # To find generating function of sequence  4,4,4,4,4,4 ??

Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: 1. What is the common difference in the sequence 3/4, 5/8, 1/2, 3/8? 2. (identify) It is a graph…

A: We are entitled to solve only one question at a time. Please submit other questions separately. To…

Q: (i) Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there exist a simple…

A: Draw a graph on six vertices with degree sequence (2, 3,3,4,5, 5)

Q: Draw a graph (simple and connected) that has the degree sequence (3,3,3,2,2,1,1,1). Is it possible…

A: It won't be an tree

Q: If {b,}-1 is a bounded sequence and lim,→∞ An = lim,-+∞ anbn? Justify. 0, what can you say about

A: Given that  bn is bounded sequence, so, by definition of bounded sequence  ∃B>0 such that bn<B…

Q: ,(n+), Does the sequences eventually increasing or decreasing ? (2n² – 7n) , (n³ – 4n²), (- , (n +…

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Q: (12,12,12,13,13) is a possible degree sequence for a graph. True or False?

A: Definition: (Degree sequence) The degree sequence of a graph is the non-increasing sequence of it's…

Q: Count the number of graphs that have the degree sequence 2,2, 2, 2, 2,1,1.

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Q: Draw two non-isomorphic graphs with degree sequence 3,3,2,1,1,1,1. Explain why your two graphs are…

A: Solution:   Consider the graphs:

Q: Is there a simple graph with the following degree sequence? If your answer is yes, draw the graph.…

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Q: A sequence's graph is given below. (2,-6) (3, 9) (4, -12) -12 ($,-15) 16

A: Given data:   The given graph is shown between an and n.   From the given graph the value of an,…

Q: Find an increasing subsequence of maximum length and a decreasing subsequence of maximum length in…

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Q: Find the limit of the sequence defined by an n + 1 %3D 4"

A: The given sequence an=n+14n

Q: The first four terms of the sequence defined by an пап 1+ п'а, 2, @о — 3, а, — 4 are %3D aо — 3, ај…

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Q: A sequence is said to be decreasing sequence if

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Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.

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Q: If the sequence ~ 9- an - 3 :} converges to 6, then the sequence {an} converges to 9.

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Q: If the sequence if geometric, match it to its correct explicit formula, a, If it not geometric,…

A: If the sequence is geometric, we will match it to its correct explicit formula, an. (i) 4, 6, 8, ...…

Q: Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there exist a simple…

A: In graph theory, the degree  of a vertex of a graph is the number of edges that are incident to the…

Q: Construct two non-isomorphic simple graphs with degree sequence 1, 2, 2, 3, 3, 3 and explain why…

A: Given sequence is, 1,2,2,3,3,3 The first type of graph is,

Q: Is there a simple graph with the following degree sequence? If your answer is yes, draw the graph.…

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Q: Match each sequence to its general rule.

A: Given sequence, 14, 1, 4....

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: 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: (b) Determine whether the sequence S:4, 5, 3, 4, 4, 6, 2,3, 2, 3, 0,0, 1,1,2,2 is graphical? If so,…

A: Given sequence is S:4,5,3,4,4,6,2,3,2,3,0,0,1,1,2,2. Definitions: Simple graph :Undirected edges,…

Q: Construct a sequence having {0,1,3,6,20} as its set of accumulation points.

A: Construct a sequence a_n = { b1, c1, d1, e1, f1, b2, c2, d2, e2, f2, b3, c3, d3, e3, f3,....., bn,…

Q: Does there exist a simple graph with degree sequence as (3,3,3,3,3) ? Select one: True False

A: Here we have given a degree sequence (3,3,3,3, 3) and we need to determine whether is it a simple…

Q: Find the infinite sum of the geometric sequence with a = 6, r = if it exists. %3D %3D

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Q: If the sequence { 2-4 an an+2 } converges to 7, then the sequence {an} converges to 9. True or…

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