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Solve the following recurrences (i.e. find a closed form expression for n). Any method is accepted. a) S(1) = 8 for n = 1 S(n) = S(n – 1) +1 for n = 2, 3, 4, ... b) T(1) = 3 for n = 1 T(n) = 3T(n – 1) +6 for n = 2,3, 4, ...

Solve the following recurrences (i.e. find a closed form expression for n). Any method is accepted. a) S(1) = 8 for n = 1 S(n) = S(n – 1) +1 for n = 2, 3, 4, ... b) T(1) = 3 for n = 1 T(n) = 3T(n – 1) +6 for n = 2,3, 4, ...

Database System Concepts
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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Q(1) = c forn = 1 Q(n) = + 4n forn = 2,4, 8, ...
Transcribed Image Text:Q(1) = c forn = 1 Q(n) = + 4n forn = 2,4, 8, ...
Solve the following recurrences (i.e. find a closed form expression for n). Any method is accepted. a) S(1) = 8 for n = 1 S(n) = S(n – 1) +1 for n = 2, 3, 4, ... b) T(1) = 3 for n = 1 T(n) = 3T(n – 1) +6 for n = 2,3, 4, ...
Transcribed Image Text:Solve the following recurrences (i.e. find a closed form expression for n). Any method is accepted. a) S(1) = 8 for n = 1 S(n) = S(n – 1) +1 for n = 2, 3, 4, ... b) T(1) = 3 for n = 1 T(n) = 3T(n – 1) +6 for n = 2,3, 4, ...
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