Given the recurrence relation:1 if n=1T(n) = {n* T(n-1) if n>1What is the solution for T(n)?I. nII. (n² )!II, n(n+1)/2IV. (n!)?V. None of the aboveIVO V%3D T(n) = {3T6 – 1) + 1 n>1n = 1n – 1) + 1 n> 1Which of the following is the solution of recurrence relation?A. O(n?)B. O(3")C. O(2")D. O(n lgn)A

We have, T(1) = 1 = 1! T(2) = 2 x T(1) = 2 x 1 = 2! T(3) = 3 x T(2) = 3 x 2 x 1 = 3! T(4) = 4 x T(3)…

Answered: T(n) = {3r6n – 1) + 1 n>1 Which of the…

T(n) = {3r6n – 1) + 1 n>1 Which of the following is the solution of recurrence relation? A. O(n²) B. O(3") C. O(2") D. e(n lgn) OC O A D.

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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Concept explainers

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

Given the recurrence relation:
1 if n=1
T(n) = {
n* T(n-1) if n>1
What is the solution for T(n)?
I. n
II. (n² )!
II, n(n+1)/2
IV. (n!)?
V. None of the above
IV
O V
%3D

T(n) = {3T6 – 1) + 1 n>1
n = 1
n – 1) + 1 n> 1
Which of the following is the solution of recurrence relation?
A. O(n?)
B. O(3")
C. O(2")
D. O(n lgn)
A

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