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What is the math conjectures?
There is not "the" conjecture: there are several. The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.
Why are conjectures important in finding unknown terms in a sequence or pattern of numbers?
In order to find the unknown term in a number sequence, you first need to calaculate the advantage of the numbers.
Are conjectures allowed in proofs?
Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.
What are the answers to mountain math?
You need to do the math to get the answers.
How do you use the ideas of logic with conditional if-then statements to verify valid conjectures and refute invalid conjectures?
By creating a strong inference, you can then put your ideas to the test. After close observation, you can then rule-out any incorrect guesses.
