Proof by Deduction
Learn how to prove mathematical statements by starting with known facts and using valid logical deductions.
Learn how to prove mathematical statements by starting with known facts and using valid logical deductions.
Watch how a proof by deduction begins with established information and proceeds through a sequence of justified mathematical statements.
Proof by deduction uses accepted facts, definitions and algebraic reasoning to demonstrate that a conclusion must be true.
After completing this lesson you should be able to:
Let the first integer be n, where n is an integer.
The next consecutive integer is n + 1.
Their sum is n + (n + 1) = 2n + 1.
Since 2n is even, 2n + 1 is odd.
Therefore, the sum of two consecutive integers is always odd.
Which expression represents the sum of two consecutive integers, n and n + 1?
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