CSE215_MR_slides_Fall2018_10.pdf - CSE215 Lecture 10 Oct 1st,2018 CS Stonybrook Univ Martin Radfar 1 Quiz 2 Solution \u2022 Prove that For all integers a b

# CSE215_MR_slides_Fall2018_10.pdf - CSE215 Lecture 10 Oct...

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CSE215 Lecture 10 Oct 1st,2018 CS, Stonybrook Univ. Martin Radfar 1
Quiz 2 Solution Prove that For all integers a , b , and c if a | b ,and a c, then a (b+c) 2
Solution 1 3
Solution 2 4
Sample Exam Problems 1-Prove or disprove sum of two positive irrational numbers is irrational 2- prove that there exists a unique prime number of the form n 2 +2 n -3 where n is positive integer. 3- Prove that for all integers a if a 3 is even then a is even. 5
6
Arithmetic Sequences 7
Geometric Sequences 8
Repeating decimals 9
Finding Terms of Sequences Given by Explicit Formulas Define sequences a 1 , a 2 , a 3 ,… and b 2 , b 3 , b 4 ,… by the following explicit formulas: Compute the first five terms of both sequences. Solution:
Solution cont’d
Product Notation
Product Notation A recursive definition for the product notation is the following: If m is any integer, then
Example Compute the following products: a. b. Solution: a. b.
Properties of Summations and Products
Example

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• Spring '20
• Numerical digit, Positional notation, Decimal, Rational number, Numeral system