Definition Of Conjugates

Conjugates is a statement that is believed to be true but not yet proved.

Example of Consecutive Numbers

The statement "Sum of the measures of the interior angles in any triangle is 180�" is a Conjugates.
Here is another such Conjugates: "If two parallel lines are cut by a transversal, the corresponding angles are congruent."

Video Examples: Making and Proving Conjugatess

Solved Example on Conjugates

Ques: Sam proposed that "3n + 1 yields a prime number for any even number n." and called it a Conjugates. He explained his Conjugates using the numbers 2, 4, and 6. He got 7, 13, and 19. Is his proposition a Conjugates?

Choices:

A. Yes
B. No
Correct Answer: B

Solution:

Step 1: A Conjugates is a statement that is believed to be true but not yet proved or disproved.
Step 2: Sam's proposition is not a Conjugates, because for n = 8, 3n + 1 gives 25, which is not a prime number.

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