Farey sequence

What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

What is a sequence?

Sequence Definition and Examples Welcome to our sequence adventure! In this video, I give some basic examples of sequences, and in the remainder of the playlist we'll discover beautiful properties of sequences and their limits. Enjoy! Check out my Sequences Playlist: https://www.youtube.

From playlist Sequences

Prime Pyramid (with 3Blue1Brown) - Numberphile

Grant Sanderson (from 3Blue1Brown) shows us a pyramid that spits out prime numbers - and then we dig deeper. More links & stuff in full description below ↓↓↓ See all three videos in this series - Grant's Prime Pattern Trilogy: https://bit.ly/PrimePatternTrilogy Grant's own false pattern

From playlist Prime Pattern Trilogy

Strategic Math S1 | Lecture 02 Same idea with Continued Fractions

★Before watching this lecture, I encourage everyone to try their own hands on this problem: Here are the thinks that you can use: 1. Use this thorough introduction of CF to learn more: 🔗 http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html 2. Use this calculator to c

From playlist Summer of Math Exposition Youtube Videos

What is the definition of an arithmetic sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Adding Structures by Viktor Avrutin

PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W

From playlist Dynamics of Complex systems 2018

What is the difference between finite and infinite sequences

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

The deep structure of the rational numbers | Real numbers and limits Math Foundations 95

The rational numbers deserve a lot of attention, as they are the heart of mathematics. I am hopeful that modern mathematics will (slowly) swing around to the crucial realization that a lot of things which are currently framed in terms of "real numbers" are more properly understood in terms

From playlist Math Foundations

Package Gadfly 06 Scatter plots Lines More examples

In this section I revisit scatter plots, add some vertical and horizontal lines and show a variety of other Gadfly goodies.

From playlist The Julia Computer Language

What are the formulas for arithmetic and geometric sequences

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Fractions and the Stern-Brocot tree | Real numbers and limits Math Foundations 96 | N J Wildberger

Here we introduce the Stern-Brocot tree, a remarkable representation of fractions by means of a binary tree, discovered around 1860 by a German mathematician and French clockmaker. The mediant operation is used to generate the tree. We describe a number of pleasant properties of the tree,

From playlist Math Foundations

Amazing Graphs III - Numberphile

Featuring Neil Sloane from the OEIS. Full "Amazing Graphs Trilogy" and extras at: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLkoPqhxvuA8183hh1rBnGM More links & stuff in full description below ↓↓↓ Neil Sloane is founder of the OEIS: https://oeis.org More videos with Neil: http://

From playlist Amazing Graphs on Numberphile

Learn to write the explicit formula for the geometric sequence

👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multi

From playlist Sequences

Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile

With Dr Holly Krieger from Murray Edwards College, University of Cambridge. Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphile More Numberphile videos with Dr Krieger: http://bit.ly/HollyKrieger Her Twitter: https://twitter.com/hollykrieger Extra detail vi

From playlist Mandelbrot Set - Numberphile

The Art and Science of Photosynthesis, with Usha Farey Lingappa

Usha Farey Lingappa grew up in San Francisco. She wanted to be an artist and attended Hampshire College planning to study art. Instead, she got distracted by science. After finishing college, she spent several years hunting aliens and viruses (astrobiology research at NASA and antiviral re

From playlist Sustainability

The fabulous Fibonacci flower formula

You probably know that nature is crawling with the Fibonacci numbers 1, 2, 3, 5, 8, 13, 21, etc. But have you ever seen a simple explanation for this phenomenon? This video is the result of my own quest to distill a really accessible explanation from existing research. Enjoy :) In the l

From playlist Recent videos

What is an arithmetic sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Chapter 5 - Geometric Sequences - IB Math Studies (Math SL)

Hello and welcome to What Da Math This video is an introduction to sequences and series and is meant to explain what this topic is about in layman's terms. This video focuses on geometric sequences. This is from Chapter 5 Haese edition of IB Math Studies book. SUBSCRIBE for more math an

From playlist IB Math Studies Chapter 5

What is a sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Computing good rational approximations to any real

In this video we're implementing a simlpe algorithm to generate a sequence of rational approximations to a point on the real number line using the mediant as known from the Farey sequence. https://en.wikipedia.org/wiki/Mediant_(mathematics)#Properties Here's the code: https://gist.github.

From playlist Programming