Presentation is loading. Please wait.

Presentation is loading. Please wait.

Pascal’s Triangle Is a famous number pattern that has use in the study of counting… Pascal's Triangle is named after Blaise Pascal in much of the western.

Published byQuentin McDowell Modified over 7 years ago

Similar presentations

Presentation on theme: "Pascal’s Triangle Is a famous number pattern that has use in the study of counting… Pascal's Triangle is named after Blaise Pascal in much of the western."— Presentation transcript:

1

2 Pascal’s Triangle Is a famous number pattern that has use in the study of counting… Pascal's Triangle is named after Blaise Pascal in much of the western world, although other mathematicians studied it centuries before him in India, Persia, China, and Italy. Blaise PascalIndiaPersiaChinaItaly

3 Imagine a communication network the size of a country

4 It is constructed as follows… How?

5 How it is constructed..

6

7 How many routes are there between the following houses, if you must go down or right? A B 1234 We need a better way to track

8 How many routes are there between the following houses, if you must go down or right? A B 123 1 We need a better way to track 1 1 2 1

9 Now how many? A B

10 Homework…

Download ppt "Pascal’s Triangle Is a famous number pattern that has use in the study of counting… Pascal's Triangle is named after Blaise Pascal in much of the western."

Similar presentations

Lets start Lets start. For a free ticket click herehere.

Lets start Lets start. For a free ticket click herehere.
 A pencil and a Highlighter   A calculator  Your thinking caps!

 A pencil and a Highlighter   A calculator  Your thinking caps!
3.1 Expansion and Intensification of Communication and Exchange Networks.

3.1 Expansion and Intensification of Communication and Exchange Networks.
Pascal’s Triangle.

Pascal’s Triangle.
PASCAL’S TRIANGLE Unit 1, Day 10. Pascal’s Wager “If God does not exist, one will lose nothing by believing in Him, while if he does exist, one will lose.

PASCAL’S TRIANGLE Unit 1, Day 10. Pascal’s Wager “If God does not exist, one will lose nothing by believing in Him, while if he does exist, one will lose.
It’s a triangle. A triangle of numbers! Pascal did not create it…. The Chinese did. Blaise Pascal discovered all of the unique patterns in it.

It’s a triangle. A triangle of numbers! Pascal did not create it…. The Chinese did. Blaise Pascal discovered all of the unique patterns in it.
What percentage of the numbers in Pascal’s Triangle are even? 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1.

What percentage of the numbers in Pascal’s Triangle are even?
131.123.247.253 -> 131.123.246.52 -> 131.123.11.254 131.123.8.1 131.123.11.254 131.123.247.253 131.123.246.52.

> >
PASCAL’S TRIANGLE. * ABOUT THE MAN * CONSTRUCTING THE TRIANGLE * PATTERNS IN THE TRIANGLE * PROBABILITY AND THE TRIANGLE.

PASCAL’S TRIANGLE. * ABOUT THE MAN * CONSTRUCTING THE TRIANGLE * PATTERNS IN THE TRIANGLE * PROBABILITY AND THE TRIANGLE.
Pascal’s Triangle By Jessica Yaemmongkol. History Pascal was not the first to study the patterns on the triangle. The reason the triangle was named after.

Pascal’s Triangle By Jessica Yaemmongkol. History Pascal was not the first to study the patterns on the triangle. The reason the triangle was named after.
By Melanie Hogan.  The Silk Road is an extensive interconnected network of trade routes connecting Asia, the Mediterranean, Africa, and Europe, extending.

By Melanie Hogan.  The Silk Road is an extensive interconnected network of trade routes connecting Asia, the Mediterranean, Africa, and Europe, extending.
Blaise Pascal and Pascal’s Triangle. PASCAL’S TRIANGLE * ABOUT THE MAN * CONSTRUCTING THE TRIANGLE * PATTERNS IN THE TRIANGLE * PROBABILITY AND THE TRIANGLE.

Blaise Pascal and Pascal’s Triangle. PASCAL’S TRIANGLE * ABOUT THE MAN * CONSTRUCTING THE TRIANGLE * PATTERNS IN THE TRIANGLE * PROBABILITY AND THE TRIANGLE.
Pascal’s Triangle Bethany Espinosa CSCI 1300-1 8:30 Computer 18.

Pascal’s Triangle Bethany Espinosa CSCI :30 Computer 18.
Pascal’s Triangle and the Binomial Theorem Chapter 5.2 – Probability Distributions and Predictions Mathematics of Data Management (Nelson) MDM 4U.

Pascal’s Triangle and the Binomial Theorem Chapter 5.2 – Probability Distributions and Predictions Mathematics of Data Management (Nelson) MDM 4U.
Copyright © Cengage Learning. All rights reserved. 8.4 The Binomial Theorem.

Copyright © Cengage Learning. All rights reserved. 8.4 The Binomial Theorem.
Copyright © Cengage Learning. All rights reserved. 8 Sequences, Series, and Probability.

Copyright © Cengage Learning. All rights reserved. 8 Sequences, Series, and Probability.
BINOMIAL EXPANSIONS ( 1 + x ) n. ( a + b ) n = n C 0 a n + n C 1 a n-1 b + n C 2 a n-2 b 2 + … When n is a positive integer, the binomial expansion gives:

BINOMIAL EXPANSIONS ( 1 + x ) n. ( a + b ) n = n C 0 a n + n C 1 a n-1 b + n C 2 a n-2 b 2 + … When n is a positive integer, the binomial expansion gives:
CS1101X: Programming Methodology Recitation 6 Arrays I.

CS1101X: Programming Methodology Recitation 6 Arrays I.
Fables Fables are very brief stories told to teach practical lessons about life, known as a moral.

Fables Fables are very brief stories told to teach practical lessons about life, known as a moral.
2-6 Binomial Theorem Factorials

2-6 Binomial Theorem Factorials

Similar presentations

Ads by Google