what is conjecture ? give some examples.
Answers
Step-by-step explanation:
Conjecture
EXAMPLES
A statement that might be true (based on some research or reasoning), but is not proven. So a conjecture is like an educated guess. ... Example: I heard the sound of a plastic bag, so I conjecture there might be some food!
QUESTION
- what is conjecture ? give some examples.
ANSWER
In mathematics,a conjecture is a mathematical statement which appears to be true, but has not been formally proven. A conjecture can be thought of as the mathematicians way of saying “I believe that this is true, but I have no proof yet”. A conjecture is a good guess or an idea about a pattern.
EXAMPLES
- make a conjecture about the next number in the pattern 2,6,11,15... The terms increase by 4, then 5, and then 6. Conjecture: the next term will increase by 7, so it will be 17+7=24.
TO MORE INFORMATION
In mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.