Answered: Solve each of the following recurrences…

Solve each of the following recurrences using the Iterative Method, Master Theorem, and Recursion Tree 2k) 1. T(n) =T) +1, T(1) = 1 (you may assume that n = 2. T(n) = T(n- 1) + log, n, T(0) = 1 %3D

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

Solve each of the following recurrences using the Iterative Method, Master Theorem, and Recursion Tree.
1. T(n) = T()+ 1, T(1) = 1 (you may assume that n = 2")
2. T(n) = T(n - 1) + log, n, T(0) =1
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