I already have answers for parts a and b, please help with parts c and d in the picture. Let t, be the number of strings of length n in {a, b, c} that don't have aaas a substring.(a)What are to and t?(b)Find a recurrence relation for tn.Show that the number of as that appear in a length n(c)string in {a, b, c} that doesn't have aa as a substring is at most [].(d)Show that t, =E32n-i ("+1).

Answered: Show that the number of as that appear…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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I already have answers for parts a and b, please help with parts c and d in the picture.

Let t, be the number of strings of length n in {a, b, c} that don't have aa
as a substring.
(a)
What are to and t?
(b)
Find a recurrence relation for tn.
Show that the number of as that appear in a length n
(c)
string in {a, b, c} that doesn't have aa as a substring is at most [].
(d)
Show that t, =E3
2n-i ("+1).

Expert Solution

Step 1: Basic

Recurrence Relation: “ In science, a repeat connection is an condition that recursively characterizes a grouping or multidimensional cluster of values, once one or more starting terms are given: each assist term of the arrangement or cluster is characterized as a work of the going before terms.”

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