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

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

please explain, thank you

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, ...

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