Suppose that T (0) = a and T(1) = b are some constants. Define the running pairwise average as, for n > 0, T(n +2) [T(n+ 1) +T(n)]. We are interested in the long term behavior, i.e., what does T(n) look like as n → o?

Suppose that T (0) = a and T(1) = b are some constants. Define the running pairwise average as, for n > 0, T(n +2) [T(n+ 1) +T(n)]. We are interested in the long term behavior, i.e., what does T(n) look like as n → o?

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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Concept explainers

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

De ning T(0) = a; T(1) = b; T(2) = c, and T(n + 3) = (1=3)(T(n + 2) + T(n + 1) + T(n)) for n >= 0, solve

for the limit T(n) as n -> ∞. Show your work.

Suppose that T(0)
= a and T(1) = b are some constants. Define the running pairwise average as, for n > 0,
T(n + 2)
= (T(n + 1) + T(n)] .
We are interested in the long term behavior, i.e., what does T(n) look like as n → oo?

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