Find simple, closed formula of the following sequence: F1, 2F2, 3F3, 4F4, ... (The F's are Fibonacci numbers) We have the answer (given by the textbook) : x*(d/dx){x/(1-x-x2)} = (x(1+x2))/((1-x-x2)2) And I'm just having trouble figuring out how to get to that point.

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
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Find simple, closed formula of the following sequence:

F1, 2F2, 3F3, 4F4, ... (The F's are Fibonacci numbers)

We have the answer (given by the textbook) :

x*(d/dx){x/(1-x-x2)} = (x(1+x2))/((1-x-x2)2)

And I'm just having trouble figuring out how to get to that point.

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