Inductive reasoning & deductive reasoning
Another term of natural numbers - Counting numbers
Examples of Natural numbers - 1,2,3,4,5....
Ellipsis - refers to the (...) it's not the last number and it continues to in the same order/ pattern
inductive reasoning - The process to observe a pattern and predict a conclusion
Hypothesis = conjecture - To make a prediction based on specific observations
Counter example - Proves a conjecture false
How many exceptions is needed to prove a conjecture false - Just one
What did Aristotle believe/reasoned? - Heavy objects fall faster than lighter objects
How did Galileo test Aristotle theory? - He dropped two pieces of metal with different weights
from the leaning tower of Pisa. They both hit the ground at the same time. (his counterexample
made Aristotle's claim invalid.)
deductive reasoning - the process of applying a general statement to specific facts or situations
How do you solve this by variable (n)
-Pick any number
-Multiply by two
-Add two to the product
- Divide the sum by two
- Subtract 1 from the quotient - 2n
To prove a conjecture - Use deductive reasoning
To come up with a conjuncture - Use inductive reasoning
What is the next line?
1x3 =3
2x3=6
3x3=9
4x3=12
5x3=15
