PROBLEM 3 Recurrences Solve the following recurrences by obtaining a bound. You may assign a stan- dard value for the base case terms T(1), T(2),..., T(k) for some small constant k. Prove your answer. 1. T(n) = T(n − 5) + n 2. T(n) = 27T([n/19])+n 3. T(n) = 2T ([√n])+2

PROBLEM 3 Recurrences Solve the following recurrences by obtaining a bound. You may assign a stan- dard value for the base case terms T(1), T(2),..., T(k) for some small constant k. Prove your answer. 1. T(n) = T(n − 5) + n 2. T(n) = 27T([n/19])+n 3. T(n) = 2T ([√n])+2

Database System Concepts

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Chapter1: Introduction

Section: Chapter Questions

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Question

PROBLEM 3 Recurrences
Solve the following recurrences by obtaining a O bound. You may assign a stan-
dard value for the base case terms T(1), T(2),..., T(k) for some small constant k.
Prove your answer.
1. Т(п) — Т(п — 5) + п
2. T(n) = 27T([1/19]) + n
3. T(п) — 2T(ГVл )) + 2
4. T(n) = T([n/11])+T([6n/7])+n

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