Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem 1: Find the following recurrence relations, but DO NOT SOLVE. Make sure to state for which values of n your relation holds, and to give appropriate initial values. Correct relations without any explanation will not receive any marks.

(a) Find a recurrence relations for an, n ≥ 0, where an is the number of n-character upper-case "words" that contain exactly one A.

(b) Find a recurrence relation for bn, n ≥ 0 where bn is the number of ways to partition S = {1, 2, 3, .... , n} into exactly 2 subsets.

(c) Consider the set T = {A, B, C, 1, 2, 3, 4}. For n ≥ 0, let cn be the number of n-character sequences of elements of T that contain no consecutive letters (identical or distinct). For ex, 12A113A and A1B1C1A are such 7-character sequences, but AA1234B and AB12341 are not.

problem 2: Solve the given recurrence relations. For recurrence relations with complex characteristic roots, you do not need to simplify using DeMoivre's Theorem.

(a) an - 6an-1 + 9an -2 = 0, n ≥ 2, a0 = 5, a1 = 12.

(b) an + an-2 = 0, n ≥ 2, a0 = 0; a1 = 3.

(c) an+1- 2an = 2n, n ≥ 0, a0 = 1.

problem 3: Let an number of n-digit quaternary (0,1,2,3) sequences in which there is never a 0 anywhere to the right of a 3. Solve for an. (Hint: You will need to de ne a second relation: zn, the number of n-digit sequences ternary (0,1,2) sequences, and then relate zn to an).

Math, Academics

  • Category:- Math
  • Reference No.:- M9523

Have any Question? 


Related Questions in Math

Preparenbspan excelreg spreadsheet containing the

Prepare  an Excel® spreadsheet containing the following: Rhode Island  SELECT VARIABLES:  Snap Participants, Wic participants, Snap authorized stores, wic authorized stores Construct  a frequency table and histogram for ...

Subject precalc algebrayaya invests her savings in two

Subject precalc algebra Yaya invests her savings in two accounts, one paying 4% interest per year and the other paying 10%. She has four times as much invested in the 4% account as in the 10% account, and her annual inte ...

Give an on3 algorithm to find the length of the longest

Give an O(n3 ) algorithm to find the length of the longest simple path in an n-node graph, on the assumption that no cycle has a positive length. Hint : Adapt Floyd's algorithm for shortest paths (see, e.g., A. V. Aho an ...

Mpl project- pharmaceutical clinical trial distribution a

MPL Project- Pharmaceutical Clinical Trial Distribution A pharmaceutical company, named "LongerLife", plans to deliver clinical trials to three different clinics (C1, C2, and C3). The trials are used for the emergency tr ...

The graph shows the functions fx px and gxgraph of function

The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1.8 to the power of x. The straight line f of x joins ordered pairs 6, 2 and 2, minus 2 and is extended on both sides. The str ...

On wednesday a local hamburger shop sold a combined total

On Wednesday, a local hamburger shop sold a combined total of 316hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

This exercise considers maintenance costs associated with a

This exercise considers maintenance costs associated with a road network connecting villages to a central township. The network is depicted as a tree, with the central township at the root of the tree. Each village is as ...

Some machines require two registers for certain

Some machines require two registers for certain single-precision values. Suppose that the result of a multiplication of single-register quantities requires two consecutive registers, and when we divide a=b, the value of ...

Think of a recent event in the news where an ethical issue

Think of a recent event in the news where an ethical issue or social responsibility was highlighted. Describe the event, and share your thoughts on how it was handled by the individual or business.

Let s d isin f be a bargaining game denote by x2nbsp gx1

Let (S, d) ∈ F be a bargaining game. Denote by x 2  = g(x 1 ) the equation defining the north-east boundary of S. Prove that if g is strictly concave and twice differentiable, then the point x∗ = N (S, d) is the only eff ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro