In both the following cases, draw a tree with that degree sequence or prove that it is impossible: (a) 4, 3, 3, 2, 1, 1, 1, 1, 1

Q: How many different sequences or orders of visiting these four plants are possible? In how many…

A:

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

A:

Q: Suppose that n > 5 and that the numbers t1, t2, t3, . . . , tn−2, tn−1, tn form an arithmetic…

A: We need to determine the value of n in the given arithmetic sequence.

Q: The following infinite sequence will be defined as recurrent relation: 1,10,3,20,9,30,27,40, ... The…

A: This question is related to sequences. The solution to the given question is explained below.

Q: How many ordered sequences are possible that contain four objects chosen from thirteen?

A: According to the given information in this question We need to find the value P( 13,4)

Q: Can you find a formula or rule for the nth term of a se- quence related to the prime numbers or…

A: The formula for nth term of sequence for given problems are given in step 2.

Q: Suppose A = (a,) = (a1, a2,as....) is an increasing sequence of positive integers. A number e is…

A: A = an = 2n =  ( 1,2,4,8,16 . . .  ) is an increasing sequence of positive integer. 1 = 1  2 = 2 3 =…

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

A:

Q: A sequence of random convex polygons is generated by the following scheme. At each stage, the…

A:

Q: How many ordered sequences are possible that contain nine objects chosen from fifteen?

A:

Q: Can you find a formula or rule for the nth term of a quence related to the prime numbers or prime…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: A board is made up of 9 squares. A certain number of pennies is placed in each square, following a…

A:

Q: Since the order that the letters are picked matters, the number of possible sequences can be counted…

A:

Q: Terms of the sequence a1, a2, a3, ·.., a2020 are obtained by the rule: 1+ a2 1+ a2019 1+ a1 1- a1 az…

A:

Q: b) Check whether the sequence (5,5,4,4,3,3,3, 1,1, 1) is graphic or not. If it is graphic, draw a…

A: Given the sequence (5,5,4,4,3,3,3,1,1,1) We need to check whether it is graphical or not. If its…

Q: 5. Describe four different rules for determining le next entries in the sequence that follows. Give…

A:

Q: Suppose that a sequence is defined as follows. a, =7, a,=a,-1-3 for n>2 List the first four terms of…

A: The objective of the question is determine the four terms of the given sequence.

Q: A bit string is a finite sequence of O's and l's. How many bit strings have length 9? bit strings…

A: The number of bit strings in each case are found as shown below.

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: Terms of the sequence a1, a2, a3, . .. , a2020 are obtained by the rule: 1+a1 1+ a2 1+ a2019 az = 1-…

A: Reciprocal of a number n is 1n.

Q: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…

A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.

Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: Suppose that the sequence {ax}ı is k= 1,3, 5, 7, 9, 11, 13,.. What is a;?

A:

Q: This is sequence and the is equal to

A:

Q: How many ordered sequences are possible that contain fourteen objects chosen from fifteen?

A: To find the order of sequence are possible.

Q: , n=1,2,3. is a sequence of real numbers defined by a, = /2 %3D %3D and for n21, a = 2,/2+a, .

A:

Q: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: Since the order that the letters are picked matters, the number of possible sequences can be counted…

A: possible letters: i , l , n , s , u  -------(5) wish to form a four letter sequence ---------(4)…

Q: (a) A bit string is a finite sequence of O's and 1's. How many bit strings have length 77 bit…

A:

Q: How many ordered sequences are possible that contain 2  objects chosen from 9 ? ​

A:

Q: How many ordered sequences are possible that contain nine objects chosen from thirteen?

A: How many ordered sequences are possible that contain 9 objects from 13?

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: How many ordered sequences are possible that contain eight objects chosen from eleven?

A: Given that, Total objects = 11 Order matters

Q: a sequence having {2,3,5,11,13} as lts set öf points.

A: Explanation of the answer is as follows

Q: The generating function of the sequence 5,5,5,5,5 is 1-x° (1-x) 1-5x° (1-x) 1- 125x (1-x) 1-3125x…

A:

Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly…

A: The given sequence is n!21nn=1∞ Eventually strictly increasing sequence : A sequence is said to be…

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

A:

Q: A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a…

A: Here we need to use binomial distribution

Q: Suppose that the sequence {az}ı is k=1 1,3, 5, 7,9, 11, 13,.. What is a1?

A: First we find the general of the given sequence {ak}∞k=1=1,3,5,7,9,11,13,..., with the help of…

Q: Consider the sequence: 2, 4, 8, 16, 32, ...Determine the 13th term of the sequence.

A:

Q: There is no formula for the number of nonisomorphic trees on n vertices. But there is one for…

A: Given: There is no formula for the number of nonisomorphic trees on n vertices. But there is one for…

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: 35. Prove that the sequence {n!}^, beats the sequence {2"}-1-

A:

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: How many sequences of 6 positive digits (1-9) contain at most one even digits?

A: Given number of digits in each sequence=6. Number of digits which can be used=1-9 Number of even…

Q: A sequence a1, a2, a3,….. is defined by An+1 4аn — 3, п > 1 -- = k, where k is a positive integer.…

A:

Q: Let a(n) count the maximal number of edges for an order graph with no four-cycles. Find the first…

A: Given that, Let a(n) count the maximal number of edges for an order graph with no four-cycles. Find…

Q: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the sequence:…

A: Given: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the…

Q: - Describe four different rules for determining the next entries in the sequence that follows. Give…

A: Given, 5, 7, 11, . . .