Fibonacci Numbers, Pascal Triangle, Applications and Puzzles

This video is in continuation to the previous video on Fibonacci Numbers. Here how Fibonacci numbers are extracted from Pascals triangle is shown. Some of the places like nature where they occur is also shown. The sunflower seeds spirals which follow Fibonacci numbers is explained. The application of Fibonacci numbers in Computer science, Financial Market, Research in Biology, Art and Architecture is discussed. There are four interesting puzzles given with explanation.

The next Video will be on Lucas Numbers and their relation with Fibonacci Numbers.

Notes, Practice problems and solutions can be found on my website

www.profpritibajpai.com

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#mathsbasicsnotexplainedinclass

00:00 Introduction
00:09 Pascals Triangle and Fibonacci Numbers
00:48 Occurrence of Fibonacci Numbers in Nature
02:30 Applications in CS, Financial Markets, Art and Architecture
03:13 Puzzle of square and rectangle
06:21 Puzzle on finding sum of some numbers
07:09 Puzzle on area of rectangles made by consecutive Fibonacci Numbers
08:05 The tiling puzzle