Examples of inductive reasoning
Examples of inductive reasoning are numerous. Lots of IQ or intelligence tests are based on inductive reasoning. Patterns and inductive reasoning are closely related.
Find here a couple of good examples of inductive reasoning that will really help you understand
inductive reasoning
But what is inductive reasoning?
Inductive reasoning is making conclusions based on patterns you observe.
The conclusion you reach is called a conjecture
Shapes and inductive reasoning
Example #1:
Look carefully at the following figures. Then, use inductive reasoning to make a conjecture about the next
figure in the pattern
If you have carefully observed the pattern, may be you came up with the figure below:
Example #2:
Look at the patterns below. Can you draw the next figure or next set of dots using inductive reasoning?
The trick is to see that one dot is always placed between and above two dots. Also, the next figure always
has one more dot at the very bottom row
keeping this in mind, your next figure should look like this:
Other examples of inductive reasoning: Integers and inductive reasoning
Example #3:
Take a look at this table that shows multiplication as repeated addtion:
Multiplication Repeated addition Sum
4 × 2 2 + 2 + 2 + 2  8
3 × 7 7 + 7 + 7  21
5 × 6 6 + 6 + 6 + 6 + 6  30
What do you notice about the signs of the sums?
Since the sum is always negative, the pattern suggests that the product of a positive integer and a negative integer
is negative
Example #4:
Look at the following patterns:
3 × 4 = 12
2 × 4 = 8
1 × 4 = 4
0 × 4 = 0
1 × 4 = 4
2 × 4 = 8
3 × 4 = 12
Every time the factor on the left is decreased by 1, the answer is increased by 4
However, the pattern suggests that a negative times a negative is a positive
I hope these examples of inductive reasoning were not complicated.

Jul 03, 20 09:51 AM
factoring trinomials (ax^2 + bx + c ) when a is equal to 1 is the goal of this lesson.
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