Solve the following recurrence equations by expanding the formulas (also called the 'iteration method' on slides). Specifically, you should get T(n) = O(f(n)) for a function f(n). You may assume that T(n) = O(1) for n = O(1). You should not use the Master Theorem. (a) T(n) = 2T(n/3) +1. (b) T(n) = 7T(n/7)+n. (c) T(n) = T(n − 1) +2.

Solve the following recurrence equations by expanding the formulas (also called the 'iteration method' on slides). Specifically, you should get T(n) = O(f(n)) for a function f(n). You may assume that T(n) = O(1) for n = O(1). You should not use the Master Theorem. (a) T(n) = 2T(n/3) +1. (b) T(n) = 7T(n/7)+n. (c) T(n) = T(n − 1) +2.

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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Question

Solve the following recurrence equations by expanding the formulas (also called the
'iteration method' on slides). Specifically, you should get T(n) = O(f(n)) for a function f(n).
You may assume that T(n) = O(1) for n = O(1). You should not use the Master Theorem.
(a) T(n) = 2T (n/3) + 1.
(b) T(n) = 7T(n/7) + n.
(c) T(n) = T(n − 1) + 2.

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