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   #### You've reached the end of your free preview.

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