Identify whether induction or deduction is being used.
1. My teacher gave a quiz three Fridays in a row. I conclude that she will give a quiz every Friday.

Question

Identify whether induction or deduction is being used.
1.	My teacher gave a quiz three Fridays in a row. I conclude that she will give a quiz every Friday.

imstuck · Answer

This is definitely induction, because you start with a generalization and build on it, even though it is not a proven fact.

dan815 · Answer

deduction perhaps

dan815 · Answer

induction.,,
suppose that for a given k, some event is true
if we can represent 
a function of k+1 in terms of functiton of k where function of k is a true event, then we can determine that function of k+1 is true and this is induction

imstuck · Answer

It's only deduction if it is a proven fact.  This assumption about the quizzes is built on just that...assumption.  But the teacher did not state there will be quizzes every Friday, the student is just making a generalization.

imstuck · Answer

Induction begins with the same two letters as the word increase, which can help you remember that in induction, you start with a limited number of observations and increase that number by generalizing.

For example, suppose you spend the weekend in a small town and the first five people you meet are friendly, so you inductively conclude the following: "Everybody here is so nice." In other words, you started with a small set of examples and you increased it to include a larger set.

ganeshie8 · Answer

Firday <----> quiz Firday <----> quiz Firday <----> quiz Firday <----> quiz Firday <----> quiz .... induction !

anonymous · Answer

what about this?
	I know that x > y and y > z. I conclude that x > z.

ybarrap · Answer

Does this follow the "increasing" rule that @IMStuck described? If not, deduction would be the better choice.

dan815 · Answer

deduction

imstuck · Answer

Yes deduction is the answer to the one with the x, y, and z.

imstuck · Answer

It's a fact that can be mathematically proven.