Show that if the statement P(n) is true for infinitely many positive integers n and P(n + 1)? P(n) is true for all positive integers n, then P(n) is true for all positive integers n.

Number Properties and Order of Operations- August 29, 2016 Opening Remarks • Incoming quiz due Sunday @ 2359. o Can take twice. o Encouraged to work ahead. Lecture Notes • Linear equations will be covered in Chapter 3. • 0 is a natural and neutral number. • From positive one and up: o Integers o Whole Numbers o Natural Numbers • Rational Numbers: o Non-repeating decimal o Can still be rational even if written in decimal format. • Real Numbers: o Used to refer to the entire universe of numbers. • Examples: o The number 7 is: ▪ Natural ▪ Whole ▪ Integer ▪ Re