1. a) Give a recursive algorithm to solve the following recursive function (hint: use Fibonacci as a reference)\( f(0) = 1; \) \( f(1) = 2; \) \( f(n) = 3f(n-1) + 4f(n-2); \, n > 1. \) b) Solve \( f(n) \) as a function of \( n \) (using the method we used in class for Homogeneous Equations). Do not solve for the constants.

Answered: a) Give a recursive algorithmto solve…

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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1.

a) Give a recursive algorithm to solve the following recursive function (hint: use Fibonacci as a reference)

\( f(0) = 1; \)
\( f(1) = 2; \)

\( f(n) = 3f(n-1) + 4f(n-2); \, n > 1. \)

b) Solve \( f(n) \) as a function of \( n \) (using the method we used in class for Homogeneous Equations). Do not solve for the constants.

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Recursive algorithm

It is an algorithm which calls itself for solving smaller sub problems which operates on subset of input space corresponding to the original problem and then uses the results returned to obtain the solution for the original problem.

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