B1. Is the sequence (a,} where a, =-n+3 a solution of the recurrence relation a, -1+2a,-2+2n-9. B2. Find the in-degree and out- degree of each vertex in the directed graph in the figure.

Q: -2,-7,-12,.

A: Here we have, -2, -7, -12, .................. ⇒a1=-2, a2=-7, a3=-12, ......... The given series is…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

A:

Q: Prove that Master Cheng has won precisely 21 times in a row during some consecutive days.

A: Please find the solution

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: {3, 6, 12, 24, 48, 96, 192 } How do I find the recurrence relation for this sequence?

A: The given sequence is:                 3,6,12,24,48,96,192 This can be written as:     first term,…

Q: Find the 2-Transfern of the sequence and Rof XCnl: 2 ucAl +3

A: In the given question, the concept of Z-transform is applied. Z-transform In its most basic form,…

Q: Suppose that the humber of corona virus in a governate increase 3 times in every hour. a. Set up a…

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: Suppose that the number of corona virus in a governate increase 3 times in every hour. a. Set up a…

A: Let an be the number of virus in the governate after n hours. Hence, the number of virus in the…

Q: List the first five terms of the sequence. a1 = 6, an+1 5an 5a,-

A:

Q: Identify the closed form for the sequence: 1,0, 3, 2, 5, 4, 7, 6, .... (Note: The answer should not…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Give the first three terms of each sequence based on the given a1=4,         r=-2         _____,…

A: To find the first three terms of each sequence

Q: An IT company labels its products by sequences of 4 symbols which are either capital letters or…

A: The number of ways of selecting r things from a total number of n things is given by the expression…

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

A:

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a, = 3 + 2n

A: Introduction :

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…

A:

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: 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: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: 1. Find the first five terms of a sequence a,a, ,a2,---a, – satisfying the given 61- Recurrence…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find a recurrence relation (with initial conditions) for the number of n-digit (n greater or equal…

A: Given:     The number of n digit ternary sequence without an occurrence of the substring 012.  A…

Q: from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if repetition is not allowed and all the odd digits occur…

A: The biggest possible number is 975,318,642; the digit zero(0) is being excluded from the question…

Q: Construct a difference table to predict the next term of the sequence.   10, 10, 12, 16, 22, 30,…

A: 10, 10, 12, 16, 22, 30;

Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: Find a recurrence relation with initial condition that uniquely determine the sequence 6, -18, 54,…

A: a0 = 6  a1 = - 18 a2 = 54  a3 = - 162

Q: Find the next two terms in th. sequence. 8, 5, 2, -1, -4, [ ? ].[ ]

A: Given sequence is : 8, 5, 2, -1, -4 To find the next two terms in this sequence.

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: Suppose that the number of corona virus in a governate increase 3 times in every hour. a. Set up a…

A: Suppose that the number of corona virus in a governate increase 3 times in every hour. (a) Set up a…

Q: a sequence generated by the length three recurrence starts 001110 find the next four elements of the…

A:

Q: Suppose that the number of bacteria in a colony doubles every year. Set up a recurrence relation for…

A: Given that the number of bacteria in a colony doubles in a year. That is Doubles in 8760 hours.

Q: List the first five terms of the sequence. a1 = 2, an+1 = 5an - 5 az = a3 = a4 = as =

A:

Q: recurrence relation and initial term.

A:

Q: The letters CORONAVIRUSCOVID are written repeatedly in this sequence without space between the…

A:

Q: Find the closed form of the generating function for the sequence 2,4, 8, 16, 32, ...

A: Generating Function: Let a0, a1, a2, a3, a4, .....be a sequence of real numbers denoted as an Then a…

Q: Find the sum of the first 20 positive even integers.

A:

Q: Write out the first six terms of the sequence defined by the recurrence relation with the given…

A: Given:                         x0=1;xn=2xn-1; for n≥1   To determine:                        First…

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: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

Q: Write a recurrence relation that describes the sequence 1, 1,3, 3,5,5, 7,7,9,9, .... Don't forget to…

A: We will find out the required recurrence relation.

Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

A:

Q: (2п)! An

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Q: Find the recurrence relation and the initial conditions for the sequence 3, 7, 15, 31, 63, . . .

A: The given sequence is 3, 7, 15, 31, 63, . . . and the sequence of differences of this sequence 4, 8,…

Q: Suppose that the number of bacteria in a colony triples every hour.a) Set up a recurrence relation…

A:

Q: Give a recurrence relation that would fit the sequence a1, a2, a3, a4, a5,..= 1,2, 5, 26,677 ...

A:

Q: How many different ways can he invest his money if he invests more on the higher rank and less for…

A: Here given an investor has a choice of 7 businesses in which to put his investments. He decides to…

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: 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, . . .

Q: Suppose that the number of corona virus in a governate increase 2 times in every hour. a. Set up a…

A: ANSWER :

Q: Suppose that nine children are sitting in a row. When the music starts, they get up and run around…

A: Now suppose that nine children are sitting in a row. When the music starts, they get up and run…