WTM Flashcards
1
Q
what is and even and an odd number in algebraic proof
A
even number = 2n
odd number = 2n + 1
2
Q
prove that the sum of any three odd numbers is odd
A
(2a +1) + (2b +1) + (2c +1)
2a + 2b + 2c + 2 + 1
2 ( a + b + c) + 1
= 2n + 1 where n is an integer (a + b + c + 1)
so the sum of any three odd numbers is odd